abstract. a joint study of straln, anlsotropy of m-iiiiffi...

15
JOUBNÀI oF GLoPHYSICAL RESEARCH, yot. gt, NO. 811, PAGES 1t,67t-11,687, NoVEMBER 10, 1988 slRAIN, MACNETIC FABRIC, AND PALEOMÂCNETTSM OF THE DETORMED RED BEDS 0F ÎHÈ PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê de Géophyctque In!erne, Universlté de Rennes, France Abstract. A joint study of straln, anlsotropy of m-iiiiffi susceptibiltty (AMs), end paleomagnetism has been conducted in the deformad rrd beds of the Ordoviclan Pont-Réan forme!ion, Brlttâny, France. tnalysis of results from 13 sampllng 3ltes shotrs tha! honogeneous sËrain, estlmared frorn che shapc of elllptical reduction rpots tn each Elle, conlrols the devcloprnent of a nrgnetic fabrlc during the Hcrcynian folding of thic formation. The good correlatlon bêttreen strâln and ellS tensor3 13 interPreled as mainly ârtsing from a screin-induced progresslve rotaÈion of planar hetnâtlte that t€nds co align slthin cleavage plane. Thts rotation of rnagnetic carrlerg in turn induces â rotatlon of net neasurable prececconj.c remânenE dagneIizâtion tocard cleâvage. Because of the high angle betreen Ehè tnitially subvertical ordoviclan remenen! ûâgnetization and che regionally subhorizontal shortening dirèctlon, Ehis dêv1âtion of the pretcclonic megneIizetlon is achievcd r4rithout eny scatlerlng buc with e probable clustering effect uPon $irhin-slte lnitlal disperslons. For lhe sârne reason lhe overall discribution of mean-slte pretectonic negnetizâtion vèctors is çlusterêd ac the in situ deformed state. thls results in an anomalous bchevior of the classlcal fold test, thet could erroneously lead to assignmenË of a syntectonic to pogt tectonic âge to the ûagnetizâtlons. Ftnally thê screin renoval technique.based upon the passive behavior hypochesis is applied to the devi.ated veclors. It alloss recovery of che lnltlal direction of these Pret,êctonic ordovici.an mâgnêllzarlons (D . 2350, I = 75o, c95 - 6.50). Introductlon A bâslc ldea, corunonly sdmitted by all researchers in the field of paleomagnetism, is that tf a meSnetlzed s€dLmenÈary bed ls folded, ite nagnetizâtion',t111 be deflected away from lts orlglnal directlon. Consequently, lf one wants !o determlne the original dlrection of nagnecizatlon wlthin a folded area, he nust ftrst recover the rotetion or gequence of rotations lhet have affected each paleomâgnetic vector studied. The more widely used practice to Èhis PurPose is to consider that the g,eometry of the folded bedding surface, ass\rmed to be lnitially planar and horlzontal, provldes good lndicators of these rotet'1on3. From the descriptlon of the possible . rotation(s) undergone by the bcdding surface at each slte of paleomagnetlc sanpling, an overall n€ân direction of PreÈectonlc tiagnetizetion can Copyrlght 198E by the Amerlcan Geophysical Unlon Paper nr:mber 88J403240 0t48 -0227 | 88 / 88JB-3 240$05 . 00 then be recovered by applylng the lnverse rotatlon(s) that ihould unfold the rock formatlon, Howcver, thls treatnent, knorn âs the 'r(beddlng-) tLlt correcriontr ICraham, 1949J, baslcally relies on thê lnpllcit assunption chat the rotations of bedding plane actuelly describe lhe rolations of paleornagnetic vecÈors. Clearly, t.his ts true only lf thè megneclc veccor remalns unchangcd wlthin the bedding reference frame throughouc che foldlng of rock unit, lhat is, vhen foldlng is achieved by rlgid buckllng of the beds, rrlthout any internal def,ormation. In effecc, arnong other greln-scale defornation nechantsms, lt 19 now cstabllshed that e strEln-lnduced rotatlon of raagnctlc carriers (".g., cee X ray dlffractornetry n€asurement,s by Cogné and Gapais [1986]) can groduce stgnlflcant deviatlons of magnellc vectors. thtc has becn shown by analogical simulations IOzirna, 1980; Cogné, 1987b; Anson end Kodarna, 1987], ntrmcrical nodels lCogné ec al., 1986; Van der PlulJrn' 1987; Kodama, 1988] and through pâleornegnêtlc analysis of deformed red beds lftrgfreta et al.,19E1, 1983; Cogné and Perroud, 1985; Cogné, 1987aJ. Thls strain-induced dcvlation of pal'eornagnetic vectors rnay be considered as a second klnd of roÈâtlon, with respecC to Ehe internal teference frame of bedding plane. Consequently, in the case of folding !tich lnÈernal deformacion (for example, when cleavage develops) the description of paleomagnêtic veclor ro!aclons 1n terms of bedding surface geometry is incompleÈe, and thus concluslons drawn from the behEvlor of paleomagneEic vectot populacions rtith respect to lhe classical fold test mey be lnadequaÈe. Ïhis haa been clearly demonstraced on lhe basis of some numerical modelg by Van der Pluljrn [1987] and Kodama [1988], and by Cogné and Perroud [1985] in the deforrned red beds of the Maritime .tlps (France). The present, paper addressês tlÀto nâin Points: (1) co documen! the characterlzation of strain effects uPon Pretectonic rernanen! rnegnetj.zetion through Èhe sfudy of strain, ânisocroPy of nâgneÈic suscepriblllty (AMS), and paleomâ8neti3m nlthln deformed red beds, and (2) to defend the ldee thât a correctlon for strain-induced devlations of paleornagnetic vectors is possible çithln such formations ICogné and Perroud, 1987]' this work is the third example in a eeries of slmilar investigâtlons we heve previously published, first in the Perrnian red bedE of the t'{ariti.ne alps [Cogné and Perroud, l9E5] , then in the Perrnian red beds of the "Col du Somportrr in the Pyrenean Chaln ICogné, 1987a1. Geologlcal Setting and Sarnpling Siteg the studled area is situated ln the central part of the Armorlcan Masstf, Britteny, France (Ftgure 1) (mean positlon: 4EoN, 2.sotl) and forms 11,671

Upload: others

Post on 17-Apr-2020

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

JOUBNÀI oF GLoPHYSICAL RESEARCH, yo t . g t , NO. 811, PAGES 1 t ,67 t -11 ,687, NoVEMBER 10, 1988

slRAIN, MACNETIC FABRIC, AND PALEOMÂCNETTSM OF THE DETORMED RED BEDS 0F ÎHÈPONT-REAN FORMÀTION, BRITTANY, FRANCE

Jcan-Paeca l Cogné

Lebore t .o l rê de Géophyc tque In !e rne , Un ivers l té de Rennes, France

Abstract . A jo int s tudy of s t ra ln, anlsotropyof m-ii i i ff i susceptibiltty (AMs), endpaleomagnet ism has been conducted in the deformad

rrd beds of the Ordovic lan Pont-Réan forme! ion,

B r l t t âny , F rance . t na l ys i s o f r esu l t s f r om 13

samp l l ng 3 l t es sho t r s t ha ! honogeneous sË ra in ,

es t lma red f r o rn che shapc o f e l l l p t i ca l r educ t i on

rpo t s t n each E l l e , con l r o l s t he devc lop rnen t o f a

n rgne t i c f ab r l c du r i ng t he Hc rcyn ian f o l d i ng o f

t h i c f o rma t i on . The good co r re l a t l on bê t t r een

s t râ l n and e l lS t enso r3 13 i n t e rP re l ed as ma in l y

â r t s i ng f r om a sc re i n - i nduced p rog ress l ve

ro taÈ ion o f p l ana r he tnâ t l t e t ha t t €nds co a l i gn

s l t h i n c l eavage p l ane . Th t s r o ta t i on o f r nagne t i c

ca r r l e rg i n t u rn i nduces â r o ta t l on o f ne t

neasu rab le p receccon j . c r emânenE dagne I i zâ t i on

toca rd c l eâvage . Because o f t he h i gh ang le

be t reen Ehè t n i t i a l l y subve r t i ca l o rdov i c l an

remenen! ûâgnet izat ion and che regional ly

subho r i zon ta l sho r t en ing d i r èc t l on , Eh i s

dêv1â t i on o f t he p re t cc l on i c megne I i ze t l on i s

ach ievcd r4 r i t hou t eny sca t l e r l ng buc w i t h e

p robab le c l us te r i ng e f f ec t uPon $ i r h i n - s l t e

l n i t l a l d i spe rs l ons . Fo r l he sâ rne reason l he

ove ra l l d i s c r i bu t i on o f mean -s l t e p re tec ton i c

negne t i zâ t i on vèc to r s i s ç l us te rêd ac t he i n s i t u

de fo rmed s ta te . t h l s r esu l t s i n an anoma lous

bchev io r o f t he c l ass l ca l f o l d t es t , t he t cou ld

e r roneous l y l ead t o ass i gnmenË o f a syn tec ton i c

t o pog t t ec ton i c âge t o t he ûagne t i zâ t l ons .

F tna l l y t hê sc re i n r enova l t echn ique .based upon

the pass i ve behav io r hypoches i s i s app l i ed t o t he

dev i . a ted vec lo r s . I t a l l o ss r ecove ry o f che

ln l t l a l d i r ec t i on o f t hese P re t , êc ton i c o rdov i c i . an

m â g n ê l l z a r l o n s ( D . 2 3 5 0 , I = 7 5 o , c 9 5 - 6 . 5 0 ) .

Introduct lon

A bâs l c l dea , co runon l y sdm i t t ed by a l l

r esea rche rs i n t he f i e l d o f pa leomagne t i sm , i s

t ha t t f a meSne t l zed s€dLmenÈary bed l s f o l ded ,

i t e nagne t i zâ t i on ' , t 111 be de f l ec ted away f r om l t s

o r l g l na l d i r ec t l on . Consequen t l y , l f one wan ts ! o

de te rm lne t he o r i g i na l d l r ec t i on o f nagnec i za t l on

w l t h i n a f o l ded a rea , he nus t f t r s t r ecove r t he

ro te t i on o r gequence o f r o ta t i ons l he t have

a f f ec ted each pa leomâgne t i c vec to r s t ud ied . The

more w ide l y used p rac t i ce t o Èh i s Pu rPose i s t o

consider that the g,eometry of the fo lded bedding

su r f ace , ass \ rmed t o be l n i t i a l l y p l ana r and

ho r l zon ta l , p rov l des good l nd i ca to r s o f t hese

ro te t ' 1on3 . F rom the desc r i p t l on o f t he poss ib l e

. r o ta t i on ( s ) unde rgone by t he bcdd ing su r f ace a t

each s l t e o f pa leomagne t l c sanp l i ng , an ove ra l l

n€ân d i r ec t i on o f P reÈec ton l c t i agne t i ze t i on can

Copyrlght 198E by the Amerlcan Geophysical Unlon

Paper nr:mber 88J4032400t48 -0227 | 88 / 88JB-3 240$0 5 . 00

then be recovered by apply lng the lnversero ta t l on ( s ) t ha t i hou ld un fo l d t he rockformat lon, Howcver, th ls t reatnent , knorn âs the' r ( b e d d l n g - ) t L l t c o r r e c r i o n t r I C r a h a m , 1 9 4 9 J ,bas l ca l l y r e l i es on t hê l np l l c i t assunp t i on cha tt he ro ta t i ons o f bedd ing p l ane ac tue l l y desc r i belhe ro l a t i ons o f pa leo rnagne t i c vecÈo rs . C lea r l y ,t . h i s t s t r ue on l y l f t hè megnec l c vecco r r ema lnsunchangcd w l t h i n t he bedd ing re fe rence f r ameth roughouc che f o l d l ng o f r ock un i t , l ha t i s ,vhen f o l d l ng i s ach ieved by r l g i d buck l l ng o f t hebeds , r r l t hou t any i n t e rna l de f , o rma t i on . I ne f f ecc , a rnong o the r g re l n - sca le de fo rna t i onnechan tsms , l t 19 now cs tab l l shed t ha t es t rE ln - l nduced ro ta t l on o f r aagnc t l c ca r r i e r s( " . g . , cee X ray d l f f r ac to rne t r y n€asu remen t , s byCogné and Gapa i s [ 1986 ] ) can g roduce s tgn l f l can tdev ia t l ons o f magne l l c vec to r s . t h t c has becnshown by ana log i ca l s imu la t i ons IOz i r na , 1980 ;Cogné , 1987b ; Anson end Koda rna , 1987 ] , n t rmc r i ca ln o d e l s l C o g n é e c a l . , 1 9 8 6 ; V a n d e r P l u l J r n ' 1 9 8 7 ;Kodama , 1988 ] and t h rough pâ leo rnegnê t l c ana l ys i s

o f d e f o r m e d r e d b e d s l f t r g f r e t a e t a l . , 1 9 E 1 ,

1 9 8 3 ; C o g n é a n d P e r r o u d , 1 9 8 5 ; C o g n é , 1 9 8 7 a J .

Th l s s t r a i n - i nduced dcv la t i on o f pa l ' eo rnagne t i c

vec to r s r nay be cons ide red as a second k l nd o f

r oÈâ t l on , w i t h r especC to Ehe i n t e rna l t e f e rence

f rame o f bedd ing p l ane . Consequen t l y , i n t he case

o f f o l d i ng ! t i ch l nÈe rna l de fo rmac ion ( f o r

examp le , when c l eavage deve lops ) t he desc r i p t i on

o f pa leomagnê t i c vec l o r r o !ac l ons 1n t e rms o f

bedd ing su r f ace geome t r y i s i ncomp leÈe , and t hus

conc lus l ons d rawn f r om the behEv lo r o fpa leomagneE ic vec to t popu lac i ons r t i t h r espec t t o

l he c l ass i ca l f o l d t es t mey be l nadequaÈe . Ï h i s

haa been c l ea r l y demons t raced on l he bas i s o f

some numer i ca l mode lg by Van de r P lu l j r n [ 1987 ]and Kodama [1988 ] , and by Cogné and Pe r roud

[1985 ] i n t he de fo r rned red beds o f t he Mar i t ime

. t l p s ( F r a n c e ) .

The p resen t , pape r add ressês t lÀ to nâ in Po in t s :( 1 ) co documen ! t he cha rac te r l za t i on o f s t r a i n

e f f ec t s uPon P re tec ton i c r e rnanen ! r negne t j . ze t i on

th rough Èhe s fudy o f s t r a i n , ân i soc roPy o f

nâgneÈ ic suscep r i b l l l t y (AMS) , and pa leomâ8ne t i 3m

n l t h l n de fo rmed red beds , and (2 ) t o de fend t he

ldee t hâ t a co r rec t l on f o r s t r a i n - i nduceddev la t i ons o f pa leo rnagne t i c vec to r s i s poss ib l e

ç i t h l n such f o rma t i ons ICogné and Pe r roud , 1987 ] '

t h i s wo rk i s t he t h i r d examp le i n a ee r i es o f

s lm i l a r i nves t i gâ t l ons we heve p rev i ous l ypub l i shed , f i r s t i n t he Pe r rn i an red bedE o f t he

t ' { a r i t i . ne a l ps [Cogné and Pe r roud , l 9E5 ] , t hen i nthe Perrnian red beds of the "Col du Somportr r int he Py renean Cha ln ICogné , 1987a1 .

Geo log l ca l Se t t i ng and Sa rnp l i ng S i t eg

the s tud led a rea i s s i t ua ted l n t he cen t ra lpa r t o f t he A rmor l can Mass t f , B r i t t eny , F rance(F tgu re 1 ) (mean pos i t l on : 4EoN, 2 . so t l ) and f o rms

11,671

Page 2: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

15,674

pe r t o f mu l t l l a yc red sequence o f Pa leozo i cscd imen ts i n t he reg lon (F l gu re l a ) . The

Pon t -Réan red bed f o rn rac l on beg ins t he Pê leozoLcced imen ta t i on l n Cen t râ l B r i t t any , uncon fo r rnab l yove r l y l ng t he pe l l t i c B r l ove r i an basemen t , andover la in by the I 'Grès Armor icaln[ Forrnat ion. thePonc -Réan Fo rma t i on has no t ye t been da ted , buc apa leon to l og l ca l l y based A ren ig ( l owe r O rdov l c i an )

age has bcen p roposed by Cave t e t e l . [ 1gZg ] t o rthe lateral equivalent t tHoul in de Cha!eaupannsn

fo rma t l on , and a r ed iome t r i c age o f a65 + l - Ir ! .y . by U-Pb method has been obteined by Bonjoure t a l . [ 19SE ] on vo l can l c i nce rca la t l ons e j . t h i n

Cogné : De fo r rned Red Beds o f O rdov i c l an Pon t -Réan Fo rmê t ' 1on

(o )

( c )

( d )

F 1 g . 1 . ( a ) L o c a t i o n m : r p o f t h e s t u d i e d a r e a ( b o x e d ) ; d o c t e d a r e a , P a l e o z o i c c o v e r ;open ( so l i d ) s t a r : "Cap de l a Chèv re ' t ( t , ù l ou l i n de Cha teaupanne " ) Fo rma t i on . ( b )Loca t i on map o f t he samp l i ng s i t es ( l abe led do t s ) a round t he sync l i ne E t ruc tu re o f r hePon t -Réan Fo rma t l on (do t t ed a rea ) . Heavy l i , nes a re synsed imen ta r y no rmaL f au l t s . ( c )Schcma t i , c N -S c ross - sec t l ons 1 t o 3 es l ôca ted i n F i gu re l b ; t h ree f o rma l i ons a reshown : t he t iG rès A rmor i cê i n " Fo rne t i on ( sma l1 do t s ) , t he Pon t -Réan Fo rma t i on ( l a rgedo t s ) , end t hê undc r l y l ng f o tded B r i ove r i an basemen t . ( d ) Schemac i c c ross sec t i oni l l u s t r a t l ng t he s t r uc tu ra l con tex t du r i ng depos iL i on o f r he Pon t -Réan f o rma t i on I a f t e rB a l l a r d e t a l . . , l 9 E 6 ] ; 1 , B r i o v e r i a n b a s e r n e n t ; 2 , P o n r - R é a n F o r m a c i o n ; 3 , r ' G r è s

Armorlcalnr t Forrnat ion.

t he l a t e re l equ l va len t ' tCap de l a Chèv re t lFo rma t l on i n t he C rozon pen insu la (F l gu re 1a ) . t tseems l he re fo re r eaEonab le t o i n f e r a l owe rOrdov i c i an agc f o r t he Pon t -Réan Fo rma t l on . l hema jo r phase o f t he He rcyn ian o rogeny i n t heArmor i ca l n Mass l f i s r €spons ib l e f o r t he f o l d i ngo f t he P reca rnb r t an and Pa leozo i c f o rma t i ons o fC e n c r a l B r l t t ê n y ( F i g u r e s l b a n d l c ) [ L e C o r r e ,1 9 7 8 ; P e r c e v a u l t a n d C o b b o l d , 1 9 8 2 1 . F o r t h ePonc -Réan Fo rma t l on , t h l s r esu l t s i n an opensync l i ne s t r ucÈu re , r l t h subho r i zcn ta lapp rox lma te l y E -W t r end ing axes . Fo ld i ng 1saccompan ied by t he deve lopmen t . o f subve r t i ca l E -W

(b )

N

2

WIIE

3

0 5 k m .l4J

Page 3: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

r l end tng ex i e l p l âna r c l eevege . Sc ruccu ra lg tud les based upon s t r a l n r na rke r mêêsu remen ts I LeCor re and Le Théo f f ' 1976 ] , t exgu re d r ve loomen t[Gapa i s and Le Co r re , 19S ] . 1 , and me tamorph i s t r r[ H a n m c r e t a l . , 1 9 8 2 ] v e r e c o n d u c t e d i n ô e n r r a lB r i t t âny . They showcd a c l ea r s t r a i n g rad ien tf r om N t o S l n l he reg lon , l ead ing Gapa l s and LeCor re [ 1980 ] and Pe rcevau l t and Cobbo ld [ 1982 ] t oâ t t r l bu te t he He rcyn lan f o l d i ng o f t he pa leozo l c

cove r t o a c ruS !e l dEx t ra l shea r i ng p rocess .F ina l l y , r ecen t i nves r j . gec ions o f Ba l l a rd ec a l .[ 1986 ] and J . P . B run (pe rsona l co r rununLceÈ ton1987 ) based upon t he s tudy o f B r i ove r i an -Pa leoeo l c uncon fo rn l c l es , o f t h i c kness ve r i e t i onsin che Pont-Réan end Grès Armor icatn format lonse t c . , l ed Èhese au tho rs t o p ropose t ha tdcpos i t l on o f che Pon t -Réen Fo r rna t i on t ook p l ace

du r i ng en ex tens j , ona l even ! . t he sed imen ts we re

chus depos l t ed upon B r i ove r l an t l l t ed b l ocks i nsha l l bas ins o f ha l f g raben t ype (F i gu re 1d ) . One

can noce t ha t nÊa r co no rna l f au l t s , t he bedd ing

p lene rnay have had a s i gn i f t can t syn -depos i c i ond tp o f 10o t o 20o t owa rd t he cen te r o f t he bas in .We sha l l see l a t e r Èha r ch l s po ln t i s p robeb l y

! l gn l f l can t v r iÈh resp€cE t o t hè f i na ld i s t r t bu t l . ôn o f p r ima ry pa leomagne t i c d i r ec t i oûs .No te t ha t a s im l l a r syn -sed tmcnca ry d i pp ing was

suspec led by D io t t f 980 l i n t he Mou l i n deChateaupanne Format lon. th is was conf i r rned by

Pe r roud e t a l . [ 1986 ] , who sho red t hâ t t heOrdov l c l an pa leomagne t l c d i r ec t i on o f t h l sf o rmac lon i s mo re accu ra te l y de te r t n tned be fo reeny t i l t co r rec t . l on t han a f t e r .

the paleomagnet i .c study of three hand sarnplesf r om che Pon t -Réan Fo r rna t ' l on a l l owed Du f f [ 1979 ]t o i so l a re a s t eep l y d i pp ing nsgne t l za t i oncomponenC. t hese ve ry h i gh i nc l i na t i ons e recha rac te r i s t i c o f t he Ordov i c i ân magne t i c f i e l dl n t he A rno r i cân Mass i . f ( see comp l l a t i on byPc r roud [ 1985 ] ) . We cou ld t hus suspec t t hecx l s t ence o f a p recec ton i c r emanen t mâgne t i za t i onrr t . th in thc Pont-Réân red bed format ion, which wasve r l f i . ed by ou r p re l im i . na ry r esu lEs obca ined l nt h l s f o n a â t i o n [ C o g n é e t a l . , ' 1 9 8 6 ] .

A t oca l . o f 13 s i t es , i nc l ud ing chose o f t hep re l lm ina ry s t udy , have been samp led a1 l a roundthe sync l i ne s t r uc tu re (F i gu re I b ) . as noced l np rev i ous s im i l a r s t ud ies ICogné and Pe r roud ,1 9 8 5 ; C o g n é , 1 9 8 7 a 1 , ! n o r d e r t o a s s l g n e a c hpa leomagne t i c dL rec t l on a g i ven s t r a l n s t a te , er r samp l i ng s l t e r r has t he s t r i ng ,enÈ de f i n i t i on o fthe nâxlmurn rock voLume in which strâ in can beassr: rned to be macroscopical ly concinuous andhomogeneous . F i e l d c r l t e r l a f o r s t r a i nhomogene i t y a re ( 1 ) i n i t t â1 l y p l ana r su r f acesre rna ln p l ana r a f t e r dc fo r f l r âÈ ion , ( 2 ) i n i t t a l l ypa ra l l e l p l anes rema in pa ra l l e l . The re we re 177

cores (25 nrm in d lameter, 50 to 100 nua long)d r l l l ed end o r t enced i n s i t u us i ng rnagne l l c andeu r r conpasses . A long w iCh t h i s paLeomagne t i c

samp l l ng , sc ruc tu re l measu remen ts ( o r i en ta t i on

and d l p o f bedd lng and c l eavage p l anes ,

s t r e t ch i ng l i nea t i on , e t c . ) e re re r nade a t eachs iÈe . A9 i n o the r r ed f o r rna t i oas , some sma l lg reen e l l l p t i ca l zones , known as reduc t i on spo t s ,p r o v l d e d s t r a i n m a r k e r s [ " . g . , W o o d e t a l . , 1 9 7 6 ;G r a h a m , 1 9 7 8 ; K l i g f i e l d e t a 1 . , 1 9 8 1 J . A t l e e s c

one o r i en ted b l ock con ta i n i ng such reduc t l onspo t s ( gene ra l l y o f m i l l l r ne t r l c d i r nens lons ) was

samp led i n each s i t e ( excep t SH) t n o rde r t o

es t i neÈe t he mean s t r a i n va l ues o f t he s i t e .

1 Z A 1 q

S t r a i n a n d A n i s o t r o p y o f M a g n e t i c S u s c e p t i b i l i c y

lechniques and measurernents

Because o f che s rna l l d imens ion o f r educ t i ons p o t s , t h e i r a x i a l r e t l o a n d o r i e n t a È i . o n w e r emeasu red on pho tog raph i c en le rg€men ts o f po l l shed

sec t l ons o f b l ocks Ea red f o l l ow ing che t h reep r l nc i pa l s t r â i n p l anes . t hese neasu remen ts hâve

shovn cha t n i t h i n t he 1 lm iÈs o f expe r imen ta l

e r r o r , t h e p r t n c l p a l s t r a i n d i r e c t i o n s ( t h a t i s ,

t he ave rage d l r ec t l on o f e l l l p t i ca l ma rke rs axes )

a t each s l l e a r€ coax ia l . r l t h c l eavage and

l l nea t i on d l r ec t i ons . Th i . s obse rva t {on , wh i ch 1s

cons l sÈen t w i ch t hose o f Le Co r re t 1978 ] and Ler h é o f f I f 9 7 7 ] [ s e e P e r c e v a u l . t . a n d C o b b o l d , 1 9 8 2 ] ,neans chac t he po le t o c l eavage i s . t he sho r t en ing(o r r a i n tmum e longa t i on ) d i . r ec t l on , l he c l eavagei s i he l l ) , 2 p r i nc tpa l p l ane , and t he s t r e r ch ingl i neac lon i s t he nax imum e longê t i on d i r ec l i on .l bese a re t hus t he e i genvec to r s , o r so - ca l l edp r i n c i p e l d i r e c t i o n s , o f t h e m e e n s t r ê i n t è n s o ra ! each s i ce i n t he geog raph i ca l r e fe rence f r ame .

The two -d i r nene iona l s t r a i n w i t h i n eachp r i n c l p a l p l a n e i s c l a s s l c a l l y d e t e r m i n e d b yu s i n g c h e R f / 0 t , e c h n l q u e o f D u n n ê t 1 1 9 6 9 1 [ " . g . ,Dunne t and S lddans , 19711 Grahan , 1978 ; Ramsaya n d H u b e r , 1 9 E 3 ; K l l g f t e l d e t . a 1 . , 1 9 8 1 , 1 9 8 3 ;C l e n d e n c n e c a l . , 1 9 8 8 ] . S u c h a t e c h n i , q u e w e sused he re f o r t he f ou r s l t ee o f t he p ré l i r n i na ry

s t u d y ( P M , M B , L C , C B l s e e C o g n é e r a I . , 1 9 8 6 J ) .Howeve r , assum lng t ha t i n an i so t r op i c r ned j . un t hereducÈ ion spo t s shôu ld have a sphe r i ca l shape , i tcan be cons lde red t ha t t he mean âspec ! r a t i o o fe l l i p t l c a l s p o È s p r o v i d e s a n e s t i m e t i o n o f s l r a i nr â t i o l r i t h i . n e a c h p r l n c i p a l p l a n e I e . g . , R a m s a ya n d H u b e r , 1 9 8 3 , p . 7 3 1 . T h i s a s s u m p t i o n i spa r t l y ve r i f l ed by t he f ac t t ha t Èhe o r i enca t i ono f l ong axes o f e l l i p ses i s r ough l y cons tan !l t i t h i n each s tud ied su r f ace . Consequen t l y , as i r ap le a r l t hne t i c mean o f t he neasu re r ren t s o fa x l a L r a t i o s w l t h i n e a c h s e c t i o n ( t y p i c a l l y 2 0 t o30 neasu re rnen t s pe r sec t i on ) was used i n t her e m € i n i n g s i t e s t o e g t i m a t e t h e a x i a l r a t i o o ftwo -d imens tona l s t . r a i n . S tanda rd dev ia t i ons o ft f te mean ( o) are used as error barE on thesees t i nê tes . I n Èhe s l t es whe re s t r a i , n r e t i , os l r e re

de te rm ined f r om R f /O de [e , e r ro r ba rs have beenrough l y es t ima ted f r o rn t he range o f R f / 0 cu r vestha ! , can be supe r imposed on da ta .

P r i n c i p a l s t r a i n s À 1 , À 2 , a n d 1 3 h a v e b e e nca l cu la ted f r om che two ra t i os À I /À2 end ) tZ l l t , 3 ,assunlng there have been no voluma changes dur ingd e f o r m a t i o n , i . e . , À 1 ^ 2 À 3 = 1 . F r o n r h e d i a g o n a lm a c r i x S r l i o f p r l n c i p a l s t r a i n s , a n d t h et rans fo rmaÉ ion na t r i x a1 ; o f p r i nc i pa ld i r e c t i o n s [ . . g . , B o u r n e â n d K e n d a l l , 1 9 7 7 ] , t h esy f i ne t r i ce l s t r a i n t enso r o f each s i t e cân t henbe cornputed fo l lor , r lng the t rensformat ion ru le forsecond o rde r t enso rs :

s g 1 = a i l . a 3 r n . S t k r n ( i , J , k , m ' 1 , 2 , 3 )

An i . so t r opy o f r nagne t l c auscep t i b i l i t y wasmeasu red on sÈanda rd pa leomagneÈ lc spec lmens(cy l i nde rs 21 mm long and 25 rnm i n d i ame te r )us i ng che D ig i co en i so t ropy de l i nea to r I seeCo l l i n son , 1983 ] i r np roved by ehe add i t i on o f af l l t e r / a r n p l i f L e r o n t h e p i c k - u p c o l l s s i g n a lc l r cu i t , and ca l i b ra ted f o l l ow ing t he co r rec t t onfo r i ns t r umen ta l e r ro r as p roposed by H rouda e t

Cogné : De fo r rned Red Beds o f o rdov l c i an 'Pon t -Réan Fo rma t i on

Page 4: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

r7 A '7É, Cogné: Deformed Red Beds o f Ordov lc ian Ponc-Réan Formac ion

TABLE 1 . Mean -s l t e S t ruc tu ra l De ta i n t he Pon t -Réen Fo tmae ion

S i t e sgr I r 2 À 3

S D ) t , u e t

sÀS BS Dq Ë

SFS G

C T

MBPM

C B

) I J )

269 3E280 19299 30146 138 7 2 090 26

112 990 3766 2856 33

I35 ?2280 56

262 EI277 80

) t é z252 88

77 9087 90

270 7I261 81278 7988 8691 E0b t ô è

101 86

79 1827E 7

) t L 5

7L 23257 L28"7 09 0 0

262 4' t t )89 L295 22

247 20101 0

l. .400 1 .0001 . 4 E 6 1 . 1 8 91 . 5 2 7 0 . 8 4 8L . 4 7 2 1 . 0 9 01 . 1 9 1 0 . 9 1 6L . 2 7 8 1 . 0 6 5

1 . 3 3 9 0 . 8 6 41 . 6 5 2 1 . 1 E 0I . 4 4 9 1 . 1 1 51 . 2 0 6 1 . 0 9 6I . 3 9 2 0 . 9 2 8r . b 1 6 L . 4 t L

1 , 0 0 1 . 8 0Q . 2 3 2 . 3 56 . 0 0 1 . 9 00 . 4 6 2 . 1 0

- I . J U

0 . 4 5 I . 6 5

- L . ) J

0 . 3 1 7 . 7 00 . 3 7 2 . 1 0v . L / . l - . ) )

2 . 5 0 1 . 7 00 . 0 4 3 . 6 0

u . ) 0 b0 . 7 7 I0 . 6 2 30 . 9 1 60 . 730

0 . 8 6 40 . 5 1 30 . 6 1 90 . 7 5 60 . 7 7 4

B e d d i n g ( S O ) e n d c l e e v a g e ( S 1 ) p l a n e s e r e g i v e n a s 5 , s c r i k e ; D , d i p(downrard in che d l rec t lon S+90o) ; l inea l ion ( f ) ig g iven as De,d e c l l n a t i o n l I , d o v n w a r d i n c l l n a t i o n ; t r 1 , À 2 , a n d l 3 a r e p r i n c l p a ls ! râ insres t imated f ro rn ax ia l rac io rneasurenencs o f reduc t ion spots ; K ,

- s h a p e p a r a r n e t ê r , K - ( À 1 / f Z - l ) 1 0 , , 2 1 X 3 - 1 ) ; r : i n t e n s i l y p a r a m e È l r , r) . 1 / À 2 + r 2 l r 3 - 1 .

a 1 . [ 1 9 8 3 ] a n d v e i t c h e È a l . [ 1 9 8 3 ] . T h e k r "c o m p o n e n t o f t h e s u s c e p t i b i l t t y t e n s o r ( i . e . , t h es u s c e p t l b l l i t y a l o n g t h e a x l s o f l h e c y l l n d r i c â lspec lmen ) l r as r neasu red w i t h t he D ig l co bu l ks u s c e p t l b l l i t y n e t e r . F r o m t h e N m e a s u r e dspec lmens ac each s i t e , a mean -no rna l i zedsuscep r l b i l i t y t , enso r has been conpuced by us l ngl h e t e n s o r s t e c l s l t c s o f J e l l n e k [ 1 9 7 8 ] d e r i . v e df t o m H e x t t 1 9 6 3 1 . F o l l o w t n g t h i s a n a l y s i s , e a c htenso r de te rm ined by a neasu remenc i s exp ressedln ê coûmon re fe rence f r a rne (e .g . , geog raph i c )a n d l s n o r m a l i z e d È o i t s p r i n c i p a l i n v a r i a n c ( k 1 1

+ k g 2 + k 3 3 ) / 3 , i n o r d e r t o e l i m i . n a t e t h e e f f e c [ so f t h e f l u c t u a c i n g s p e c l m e n b u l k s u s c e p t i b i l i t yupon t he es t lmec ion o f t he s iÈe -mean l enso r . Theneân t enso r and i t s con f l dence l im i t s â re t h€nes t ! . ne têd by su r rn i ng t he N no r rna l i zed t enso rs o fa s l ce and compu t i ng t he re l evan t cova r i ancema t r i x , f r om wh tch a re de r i ved l he va r i anc . ( o2 )

o f t he no rma l l zed p r i nc l . pa l suscep t i b i l l t i e s andt h e s e m i - e n g l e s ( a , b ) o f t h e e l l i p s e o fcon f i dence a t t he 95% p robab i l i t y l eve l a roundthe p r i nc i pa l d i r ec t , i ong . l o co rnp le te t hedecc r i p t i on o f AMS, t he nean -s i t e bu l ks u s c e p t l b i l i t y l s c a l c u l a c e d a s k = ( k 1 + k 2 +k 3 ) 1 3 , w h e r e k 1 , k 2 , k 3 e r e l h e e l g e n v a l u e s o ft hc unno rnâ l , i zed mean t enso r ( compu ted as above ,bu t l r i t hou t no rme l i z i ng each t enso r by i t sp r l n c i p a l i n v e r i â n t ( k 1 1 + k 2 2 + k 3 3 ) / 3 )

Resu l t s

Meen E t ruc tu ra l da ta ob ta i ned i n t he Pon t -Réanred beds a re g l ven i n Tab le I : bedd ing (56 ) andc leavage (S1 ) a re cha rac te r i zed by t he i r s t r i ke(S , dec l t na t l on o f t he ho r i zon ta l l l ne o f t hep1âne ) and d i p (D , max lmum < iocnward i nc l i naÈ lono f t he p l ane t n t he d i r ec t i on S+90o ) . t hes t r e t c h l n g l l n e a t i o n L ( D e , d e c l i n a t l o n ; I ,

i n c l i n a t l o n ) , a s o b s e r v e d i n t h e f l e l d a n dve r t f i ed f r o rn e l l i p t i ca l ma rke r measu lemencs ono r i e n c e d b L o c k s , i s s y s t e m a t i c a l l y a t c h eb e d d i n g / c l e â v a g e i n t e r s e c t i o n . S t r a i n e s L i r n e ! e sa r e g l v e n i n T a b l e 1 a s | 1 , À 2 , À 3 , p r l n c i p â ls t r e i n s l K , r : s h a p e I F l i n n , 1 9 6 2 J a n d i n t e n s l t y[ w a t t e r s o n , 1 9 6 8 ] p e r a m e Ê e r s . M e a n A M S d a r a a r eg i v e n i n T a b l e 2 w h e r e e a c h n o r m a l i z e d p r i n c i p a ls u s c e p t l b i l l c y k 1 , k 2 , k 3 , i s c h a r a c t e r i z e d b yi t . s i n t e n s i c y a n d s c a n d a r d d e v i a t i o n , i t sd e c l i n a t i o n a n d i . n c l i r i a r i o n ( D / I ) , a n d r h e 1 / 2a p e r t u r e a n g l e s ( a / b ) o f t h e 9 5 % c o n f i d e n c ee l l i p s e s a r o u n d È h e m e a n d i r e c i i o n s . l h e b u l ks u s c e p t i b i l i t y i s g i v e n i n d i m e n s i o n l e s s S Iun i r s , 7 .An i s ( k1 / k3 -1 ) x100% [ van De r voo andK loo t l r i j k , 19721 .

t he p r l nc i pa l d i r ec t i ons o f s c ra i n and AMS a reshown i n F i gu re 2 . t he homogene i r y o f AMS w i rh i ne a c h s i t e 1 s u n d e r l i n e d b y t h e g e n e r a l l y s r n a l ld i m e n s i o n o f t h e 9 5 7 . e l l i p s e s o f c o n f i d e n c ea r o u n d p r l n c i p a l s u s c e p t i b i l i t y d i r e c t i o n s . U p o nexani .n ing lhe data, ! {e see that the rnaximums u s c e p t i b i l l t y k 1 i s g e n e r a l l y s u b c o a x i a l r ' l t ht h e b e d d i n g / c l e a v a g e l n È e r s e c È i o n , t h a t i s , l l i t ht he max imurn e l onga t i on ax i s À1 . The m in imums u s c e p t i b i l l t y k 3 i s , o n t h e a v e r a g e , p a r a l l e l . t ot he po le t o c l eavage r13 . The re a re , hoveve ! , somes i g n i f i c â ô t d l f f e r e n c e s i n s i t e s S G a n d S I , w h e r ek2 and k3 show i n t , e rmed ia te d i t ecc i ons be tweenpo le t o c l eavage and po le t o bedd ing . Th i s t endsto i nd i ca te t ha t magne t i c f ab r i c s ave rage t hee f f e c t s o f t h e s u p e r i m p o s i t i o n o f t e c t o n i c s t r a i nupon an l n i t i a l compac t i on - i nduced f ab r i c[G raham, 1978 ; Ramsay and Hube r , 19E3 ] . Such aninÈe rp re te t i on i s co r robo raÈed by t heexcep t i onna l da ta o f s i t e SF , whe re a l t houghc l e a v a g e i s a l r e a d y o b e e r v a b l e , k 3 l s n o È y e treo r i en !ed t owa rd c l eavage po le bu t r ema insp a r a l l e l t o b e d d l n g p o l e . I t c a n f u r t h e r b e n o t e d

Page 5: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

{t

!

t .

aroÉ

t

o

ql

6o

9

oqo

t^

0N

oz

oI

o{,:

9r-l

f

>g

6

t

u

a

J

u

H

H

u

H

H(t)

I

x

./

t

z

u

ô a < N r i n N r l f t O n ô \ O C OF t Ê { n N N N ô a d N d d

< É ô Ê : t r ( 9 : É H ' ' r É E ( ' ) I OVt <h q)V2 Q @.A s7 (â E Ê{ J (J

l t , 6 7 7

t h â t i n t h l s s i t e , e s w e l l a s i n s i t e L C , w h e r e

e l l i p ses e round k2 and k3 show tha t t hêsed t r c c t i o n s e r e i l l - d e f i n e d i n t h e k 2 k 3 p l a n e , t h c

s t r uc tu re l s o f penc l l t ype [G raham, 1978 ] , t hac

i s , t h e f a b r l c i s m a c r o s c o p i c a l l y c o n s t r i c t l v e .The e l l i p so ld shape and i n t ens i t y o f mean

s t re l n and A l lS a re l l l u s t r a ted by t he F l i nn

[1965 ] d l ag rams o f F i gu re 3 . Po ln t . s a re

d i sc r l bu ted l n t he cons t r i c t i on end f l e t t en lng

a reas f o r s t r a l n es we l l as f o r AMS. ' I nÈens i t i es

â re qu l t e l ow w i t h r <2 .5 and 7 .An <6% l n nos t

9 i t es . G rea t€ r i n t ens i t . i e s e re r eached f , o r po in t s

s i t u a t e d i n t h e f l a t t e n i n g f i e l d ( s i c e s S B , C B

f o r c x a n p l e ) . I n F i g u r e 3 , a c l e a r d i f f e r e n c eeppeâ rs beÈwecn t he shape o f sc ra i n e l l l p so ldsand t he shape o f AHS e l l i p so ids . As a ma t t e r o f

f ac t , A l ' l S e l l i p so ids e re , on t he ave rage , r no re

consÈr i c t l ve t han s t r â i n onês (Eee f o r exa rnp le ,s l t es PM, SF , SG) . Tbo na in r easonE can be evoked

t o e x p l a i n t h l s d i f f e r e n c e . T h e f i r s t o n e l s t h a tnagneÈ ic f sb r i c r eco rded t he compec t i on o f r edbeds s t r onge r t han reduc t i on spocs d i d . I t cou ldbe i n f e r red t hac reduc t i on spo t s deve lop du r i nglace s l ages o f compac t i on . A second andequ i va lenc r cason cou ld be t h t A l lS evo lu t i on i s

s l owe r t han t o tâ1 s t i a l n evo lu r i on as es t l rT :e tedf r o m r e d u c t i o n s p o t s . I n b o È h c a s e s , s t r a i ne l l t pso tds shou ld be more f l ac tened t han AMSo n e s , d u r i n g p r o g r e s s i v e d e f o r m a l i o n , f o l l o w t n gÈhe pâ th desc r i bed by G raha rn [ 1978 ] o r Ramsay andH u b e r [ 1 9 E 3 ] . f r t s , h o w e v e r , d i f f i c u l . t È o s t r e s st h e a c t u a l p h y s i c a l r e a s o n f o r t h i s d i f f e r e n c e ,

and even ! . o assess i t s s l gn i f i cance . As a ma t t e r

o f f ac t , i f r . r e t ake i nco accoun ! t he l ow

ln tens l t i e s o f s t r a i . n and AMS, s rna l l va r i e t i ons

o f i n re rmed ia te -ax l s va l ues ( t 2 o r no r rne l i zed k2 )

a round un i ! y can l nduce s l gn l f i can t va r i a ! 1ons o f

r e l a t i v e v a l u e s b e t w € e n l 1 / À 2 a n d À 2 / À 3 , a n dbeÈween k1 / k2 and k2 / k3 . T t r e re fo re 1 f we a t t emp t

! o d raw a co r re l a t l on be tween s t r e i n and AMS

e l l i p s o i d s s h a p e s a n d l n t e n s i t i e s , i t a p P e e r sbe [ t e r ! o l ook f o r a co r re l e t . l on be tweenp r i n c i p a l v a l u e s , r a È h e r t h a n b e t ï e e n p r i n c i p a l

r â t i o s .To t h l s pu rpose , and f o l l o { i ng l he

r e l a t i o n s h i p p r o p o s e d b y K l i g , f i e l d e t a l . [ 1 9 8 1 ,1 9 8 3 ] , w e h a v e c o m p u t e d t h e l i n e a r t e g r e s s l o nb e t w e e n t h e p r i n c i p a l s u s c e p c i b i l i - t y - d t f f e r e n c è s ,M i = ( k i - k o ) / k o w i r h k o = ( k r . k 2 . k 3 ) r / J , a n dn a È u r a l s t r a l n s r € i = l n ( l i ) . t h r s i s s h o w n i nF igu re 4 . t he co r re l aÈ ion eppee rs qu i t e good( c o r r e l ê t l o n c o e f f i c i e n t r = 0 . 9 4 3 ) , a n d c h e b e s tf l c l l n e e i = 1 3 . 6 M 1 - 0 . 0 4 8 , o e s t h r o u g h t h e o r l g i n(F lgu re 4 ) . Th i s means t haÈ va r l a t i ons o f AMSa r e , o n t h e a v e r a g e , c o n t r o l l e d b y s t r a l nvâ r i eÈ lon3 . The t emarks made above , ebou ! Ehed i s c r i b u t i o n o f d a t a i n F l i n n d i a g r a m s ( F i g u r e

3 ) , a p p e a r j u s t l f i e d , â n d a r e v e r i f i e d b y t h ed l s t r i b u t l o n o f i n t e r m e d i a t . e v a l u e s ( 1 2 a n d M 2 :t r l ang les ) a round ze ro i n t he d l ag ram o f F i gu re

F ina l l y , a l l t he above obse rve t i ons can bec lass i ca l l y i n t e rp re l ed i n t e rms o f p rog ress i vede fo rma t i on , as beau t l f u l l y desc r i bed by G raham[ f978 ] i n t he Mar i t ime A lps r ed beds . I n t hein i t i a l sed lmen ta r y s t e ta , compecC ion i nduces ab e d d l n g f a b r i c s h o w i n g o b l a c e e l l i p s o l d s w i t h À 3coax la l w l t h t he po le t o bedd ing . Th i s s t e te i sno t ac tua l l y obse rved i n t he Pon t -Réan Fo rmaÈ ionbu t can be i n f e r red f r om the o r t hogone l i t y o f k3and bedd lng i n s l t e SF . Du r i ng ducc i l e t ec ton l c

Cogné: Deformed Red Beds of Ordov lc lan Ponr -Réan Format ion

o\ $ -t F È \o .f .'\ CO .t q\ \ô o

o \O 6 tt1 N N (n n rr..' \t \O d

1 1 N ( v ! N O N - ? c 1 O 6 t t l È \ O\ \ \ \ \ \ \ \ \ \ - \ \O \ t \ O \ O - ? ô O c ) r ^ r N h ( 1" 4 d N d n d

oÈ t o

0\ 1,c,

 É

ov o

d xæ d

:{,t - !9 C l

l u do . x6 ^

N I

à t

! F {ç x6 v

- O 6

b ov g o

< t rÉ i { c ,o !

6 0 c t

> e Ér ù 6

d q ,1 t â N

( ! g dg * €e c

6 \ h

4 Éu 9 ,

i a 0Q ' É s. c * o

U O

! E r

I ' *

C \ d

> i

o 0 0 c .e a )

c r o u! i Ic ! 5

( J O^ o

! d o

o O rO i , .

6 i ( J> l. .C

O - u

' i Ê Li J d

â l r dn 6 . : a

À o a J0 J O l ro 6 q Jo À . c) 1 ,

i q ) 0d \ê q r ^d u 6o c J ac 0 +

d ! Nl r i J a

À q +É /O J iL l v

o o o n f \ c ) 6 o o o o o o

€ r o . Y ! " i | o € d o F d 6 Nd F { d r . $ \ t d d\ \ \ \ \ \ \ \ \ \ \ \ \

6 O ' / r 6 O O O 6 6 û \ ' ô C ) 6

o o \ N i \ o f r N d . f i @ . t o c o6 @ 6 È . 1 6 @ o \ æ . i l t ^6 F a Ê t F t O d F i d ( 1 ( r l

fl € @ (1 .ir c.t ('r N fr n aO O\ c)o o o o o o o o ô o o o N

- t O À C O f l € \ 1 È ô \ O c O \ O \ O6 \ O t s \ O c O @ c O @ È r r È no\ g\ o1 êÀ o\ o\ 6\ o\ o\ o\ 6|r o\ o\

o. ' l Fl ôt N.S \ t .1 . t N S \o È d\ \ \ \ \ \ \ \ \ \ \ \ \C) n \O d rtl O c) o rtt \o N 6 c'\â d à . - l d N d n r i

6 c ) c ) 6 d C T O O O O O O O

ô l N . S \ g c O O ( v , | < ô . t , r - f i dÈ r r È . 1 È , 1 È € P C O \ O È\ \ \ \ \ \ \ \ \ \ \ \ \o | l ' 1 6 c ) ' ^ r f | o c ) ' / r o o c ) t t l

r r 1 . t N 6 \ o â d o d r o \ t o \ 6( i . ) ô r @ ô \ O ô r @ v ' l { O rN N r " - ( Ê l é m N d ô l

1 1 . t ô r n | r . l d \ t . n n F ! \ O r G l

o o ( ) o o o o o o o o o o

ô l È N C O N F È ( n r . t \ O \ t @o \ d o o o o \ o \ o \ a À o o \ @ F aO \ O O \ O ô o | \ O \ o À C F O o \ O r O

O Ê i O d â O O O ( ) d O O Ê

\ C | 6 t s 6 - N 6 É 1 n 6 6 d \ Oo o o o o o o o o o o i -

.'t N o ô ôr .$ co o o\ o\ \o o \oN N O N d d i N N d N \ t - t

i r { d d à d / à d À À à À

' / \ 6 O O O f i 6 O O t ô 6 O O

6 \ t ô l 6 ( 1 6 f i d N N \ O d 6 \À d À d N d\ \ \ \ \ \ \ \ \ \ \ \ \r ô O o O 6 O O O O O 6 O < f

N O ô d c O O \ . J ' d ô c O j ' / r Oc O O \ O c O r l € @ È ( ) O r r n O \

d N N N d N

N ('t N \ô cr] N cl d'l d .t .t \o at\ \ \ \ \ \ \ \ \ \ - \ \6 |tt.t Ê{ 6 \O 6 rJ' {' È r N CÀ

\o o\ o 6 rr r^ o\ fi \o.3' \o c) .J'N $ \ t N â r { O Ê t È O . l Ê ( 1- i d É t 4 , 1 à r - . t O i H Ê F {

Page 6: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

| t , 678

de fo rma t i on , Èhe reg lona l l y subho r i zon !a1sho r t en ing resu l t s i n a cons t i l c t l ve shape o f t het o t a l s l r a l n e l l i . p s o l d s n i t h J o i n t d e v e l o p m e n c o fs t r e t c h l n g a n d m a x i m u m s u s c e p t t b i l ! t y â t t h eb e d d i n g / c l e â v a g e i n t e r s e c t i o n . T h e n , w i t hl n c r e a s l . n g d e f o r m a t i o n , e l l i p s o i d s r e t u r n i n t h ef l ac ten lng f t e l d w i ch 13 as t he no rma l r oc l eavage . t h l s sequence l s accompan ied by ap rog ress i ve reseÈ t t ng o f t he m in imumsuscep t i b i l i t y k3 f r o rn t he no rma l t o bedd ing( s t t e S F ) t o t h e n o r m a l t o c l e a v a g e ( s i t e s S e ,S B , S D , S E , S H , S J , P M , H B , C B ) , r h r o u g hl n t e r m e d l a t e r n e g n e t i c f a b r l c s ( s i t e s L C , S G , S t ) .

One can f u r t he r noÈe l ha t t h i s sequencercugh l y desc r l bes a s t r a i n g rad ien t f r om no r t h o ft he s tud led e rea t owa rd t he sou th . Th i s r esu l t sl n l owe r s t r a i , n i nÈenE i t i es i n t he no the rn pa r t( e e e l a b 1 e 1 ; s i t e s S F , S G , S I ) t h a n i n c h eE o u t h e r n p a r t ( s l t e s C B , S B , S J , M B ) . T h i so b s e r v a t i o n 1 s c o n s i s t e n ! w i t h t h e d e s c r l p t i o n o fGapa l s and Le Co r re [ 19E0 ] and Pe rcevau l t andC o b b o l d [ 1 9 8 2 ] , a n d w i t h È h e i r i n t e r p r e t â t i o nt h e t m o s t o f H e r c y n i a n f o l d l n g o f P a l e o z o i cf o r rna t l ons i n Cen t re l B r l t t any i s con t ro l l ed bydcx t ra l t r ânscu r ren t movemen t on c rus ta l f au l t s .

Pa leomagne È l c Ana l ys 1s

Naturs l Remanent H6 n e È i z a t l o n

Cogné : De fo rmed Red Beds o f O rdov i c i an Pon ! -Réan Fo rma t i on

F i g . 2 . S l e r e o g r a p h i c p r o j e c c i o n s i n t h e l o ç e r h e m i s p h e r e o f m e a n - s j . t e s L r u c t u r a l â n dA l ' t S d l r e c t i o n s . S 6 , b e d d i n g ; S 1 , c l e a v a g e ; s È r e t c h i n g l i n e a t i o n i s a t r h eb e d d i n g / c l e a v a g e t n t e r s e c i i o n . P r i n c i p a l s u s c e p t i b i l i t i e s w i r h t h e i r 9 5 7 . c o n f i d e n c er e g t o n s â r e s q u â r e s , k 1 ( m a x ) ; t r i a n g l e s , k 2 ( i n t e r m e d i e È e ) ; a n d c i r c l e s , k 3 ( m i n ) .

Natura ll n È e n s i t l € s

remânent nag,nc t lze t lon (Nru l )(F igure 5) range beLTeen 0 .001 and

0 . 0 1 e / m , ç h l c h a r e t y p i c a l v a l u e s f o r r e d b e d s .A l t h o u g h w e a k , t h e s e i n t e n s i t i e s a r e s u f f i c i e n tf o r l h e r e m e n e n t m a g n e t i z e È l o n c o b e a n a l y z e dth rough demag ,ne t i za t , t on p rocedu res , and measu redu s i n g t h e S c h o n s t e d t ^ D S M - I s p i . n n e r m e g n e È o m e t e r( s e n s i È i v i t y 1 0 - 9 t u n Z ) . N R H d i r e c r i o n s , s h o w n a sl n s i t u l n t h e d e n s i È y p l o t o f F i g u r e 5 , d i s p l a yan e l onga ted pa t . h be t l r een SSW s l i . gh t l y i nc l i nedd l r e c t i o n s t o w a r d W S W h i g h l y i n c l i n e d o n e s . W i t hre fe rence t o pa leomagne t i c dâ ta f r om theA r m o r i c e n M a s s i f I P e r r o u d , 1 9 8 5 ] , i È c a n b es u r m l s e d t h a t t h l s d i s t r i b u t i o n a r i s e s f r o m ap a r t i a l r e n e g n e ! 1 z e È i o n o f p r i m a r y h i g h l yi nc l i ned Ordov l c i an d i r ec t i ons , i n che S1 . ls l i g h e l y i n c l l n e d C a r b o n i f e r o u s m â g n e C i c f i e 1 d ,du r i ng rhe He rcyn lan o rogenes i s .

DemaSne È i zâ ! i . on

In o rde r t o cesc f o r t he o r l g i n and na tu re o fNRM, vec to r ana l ys i s o f r nagne t i zâ t l . on t h roughs tepw ise t he rma l demagne t l za t i on was conduc !ed on1 0 0 s p e c i m e n s . f h e b e h a v i o r o f m a g n e t i z a r i o nd u r l n g d e m a g n e ! i z a t i o n w a s g e n e r a l l y s i m p l e . T l ot ypes o f demagneE iza t i on cu rves ( i n o r t hogona lp r o j e c t i o n s I Z t j d e r v e l d , 1 9 6 7 ] ) w e r e o b r e i n e d(F igu re 6 ) . ( 1 ) On t he one hand , when NRMi n l t i a l l y e x h i b i t s h i g h i n c l i n a r i o n s , r h em e g n e È l z a È i o n l n t e n s i t y p r o g r e s s l v e I y d e c r e a s e sn l t h i nc !eâs in8 t empe raÈu re , w i t hou t any changei n d l r e c E l o n ( F i g u r e 6 a ) . T h i s i s c h a r a c t e r i s t i co f un i vec to r i a l nagne t i ze t ' 1on . One can no te t he t

Page 7: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

FLATlENINC

\

Cogné: Deformed Red Beds of Ordovic ian Pont-Réan FormaEion r a  ? O

\r\z/

M io o s = { k t _ k o L k e

l n t he5 , a n d

. 1

. 2

. 3

1 ro5 't.l

F l g . 3 . F 1 . i n n [ 1 9 6 5 ) d l a g r a r n s f o r r n e a n s t r a i n

and AHS da ta . L i nes o f s t r e i n l n t ens l t i e s 7=2 , 3 ,

and 4, and of 7.en = 5, 10, and 15% are drawn.

E r ro r ba t s oo 3 t r â i n r s t l os a re t he scanda rd

dev la t l ons on a r i t hn€ t l c nean ; e r ro r ba rs on

suscep t ! b111 t y r e t i os a re de r i ved f r on s tanda rd

d e v l â t i o n s o n m e a n s u s c e p t i b l l i t l ê s I a f t e rJ e l i n e k , 1 9 7 8 1 .

unb lock i ng t empe râ tu res e re sepa re ted i n t l t o

g roups : a Pa r t o f t he rnagne t l za t l on i sp rog ress i ve l y unb tocked be t 'ween 20o and 600oC ,

then iÈ scab i l i zes be t reen 6000 and 650oC , and i s

f i na l l y unb locked be tween 6500 and 680oC , t he

C u r i e p o i n t o f h e m a È t t e . ( 2 ) T h e s e c o n d k i n d o f

behav io r was obse rved ma in l y on spec imens whe re

NRM ças l n l t i a l l . y e i che r s t i gh t l y o r

i n t e rmed ieÈe l y i nc l l ned SW. I c i s che rac te r i zed

by È r ro magne t i ze t i on componen ts (F i gu re 6b ) : a

t ow-Èempera tu re ( LT ) co rnPonenc nh i ch i s unb locked

up to ebout 600oC and shows a shal low

sou thwesce r l y d i r ec t l on . The second magne t i za t i on

componen t i s mo re s teep l y i nc l i ned l ' ' t o s l , l , and

appee rs s l r n i l a r t o t he 'megne t i ze t i on comPonen t

dâsé r l bed i n t he case o f un i vec to r i a l behav io r .

Th i s h i gh - t empe recu re (HT ) componen t i s unb locked

%

> 1 5

zUt l ooU- 3

F i g . 4 . P r l n c t p a l s u s c e p t i b l l i t y d i f f e r e n c e s( M 1 ) v e r s u s n a t u r a l s t r a i n s ( e i ) . T h e b e s t f l t

1 l ne l s sho rm and reg ress lon equac ion ove r Po in t si s g i ven . E r ro r g r i d l s de r l ved f r om s tanda rd

d e v i e t i o n s o n m e a n s u s è e p t i b i l i t i e s a n d s t r a i n

ax la l r ac l os . Same symbo l s as i n F l . gu re 2 . '

i n t he 650 -6800 l e rnpe racu le r ânge . No te , howeve r ,

t ha ! e good sepa ra t t on o f t hese componen ts i s no t

a lways ensu red , as sho . , r n i n F l gu re 6b , spec imen

5404 . A sepâ ra t i on i n t ' o such LT and HT comPonen ts

w a s o b t a i n e d i n f i v e s i t e s ( S A , S D , S H , S I , L C ) ;

i n o l h e r s i t e s , a u n i q u e s t e e p l y i n c l i n e d

mag ,ne t i za t i on , cove r i ng t he who le t emPera tu re

spec t run , i s dom inan t .The b imoda l d i s t r i bu t i on o f unb lock i ng

tempc ra tu res po in t s Èo t he P resence o f t ço na in

mâgne t i c ca r r l e r s . Howeve r , some i so l he rma l

renanenÈ megne l t zâ t l oo ( I r u l ) expe r imen ts a l l owed

i d e n t . l f i c a c i o n o f o n l y o n e k i n d o f m a g n e t i c

r n i n e r a l , w l t h h l g h c o e r c i . v i c i e s , t y p i c a l o f

hema t l ! e . The range o f unb lock i ng ÈemPerâcu res o f

LT co rnpone i rÈs i s cons i s t en t n iÈh u l t r a f i ne i ed

heme t l t . e p i gnen t , wh i l e h i gh t e rnpe ra tu res cou ld

b e r e l a t e d t o l a r g e r h e m a t l c e c r y s t a l s , p o s s l b l y

s p e c u l a r i t e . F o l l o w i n g E h i s i n È e r p r e t a t i o n '

sha l l ow LT componen ts cou ld r esu l ! f r om chem ica l

r e m o b i l i z â t i o n o f p l S m e n t , m o r e g e n s i t i v e C o

f l u l d c l r c u l a c i o n d u r i n g t h e H e r c y n i a n o r o g e n y '

and cou ld t hus ac tua l l y be seconda ry .

0.901 o.01 o.'l A I mI N T E N S I T Y

F lg . 5 . ( Le f t ) F requency p l o t o f NRM in tens i t y '

l owe r hem lsphe re o f NRH d tSec t l ona l n geog raph i c

107 . o f r he àa ta i n ' 17 . o f ' t hà hem isphe re su r f ace '

1 8 0( n t g l t ) E q u a l - a r e a d e n s i t y p l o t

c o o r d i n a t e s ; c o n t o u r s : L , 2 . 5 ,

Page 8: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

1 1 ,580 Cogné : De fo r rned Red Beds o f O rdov i c i an Ponc -Réan Fo rmaÈ ion

W

SJ 106

Down

Up

680 E

590 -665

f , f ,u

J t v

SB 07

S Down

F i g . 6 . t h e r m a l d e m a g n e t i z a t i o n o f r e p r e s e n È â c i v e s p e c i . m e n s i n Z i j d e r v e l d [ 1 9 6 7 ]o r t h o g o n a l p r o j e c t i o n s . C l o s e d ( o p e n ) s y m b o l s a r e p r o j e c t i o n o n t o t h e h o r i z o n t a l( v e r t i c a l ) p l a n e . F o r e x p l a n a t i o n o f F i g u r e s 4 a a n d 4 b , s e e t e x L .

w

Àoa l ys t s o f Remanen t Magne t l za t i on D i recÈ ions

Low- tempe ra tu re componen ts . Mean -s iÈed i r ec t i ons o f LT componen ts a l e l i s t . ed as i n s i t u( IS ) and t l l t co r rec ted (Tc ) i n Tab le 3 and d rawnl n F i g u r e 7 . I n t h e i n s i t u c o o r d i n a t e s , t h e s ed i r e c t l o n s s h o w a q u i t e c o n s t a n t d e c l i n a t i o n o fa b o u t 2 0 0 0 , b u È a g r e e t s c a t t e r i n i n c l i n â t i o n .T h l s d i s p e r s i o n i s n o t r e d u c e d b y t h e c l a s s i c a lt i l t c o r r e c t i o n I G r a h a m , 1 9 4 9 ] . T h l s s i t , u a t i o ncan pa r t l y a r l se f r om a syn fo l d i ng age o fmagne t l za t i on acqu l s t t i on . Howeve r , i n t he i ns i t u coo rd i na tes , po ln t s show a g rea t - c i r c l e

d l s t r l bu t l on be tween t he s teep l y l nc l i nedformat ion mean of h igh-temperaiure componenls(Tab le 4 ) and sha l l os Ca rbon i f e rons and Loçe r

P e r m i a n d i p o l e f i e l d d i r e c t l o n s ( F i g u r e 7 ) . L Tmegne t i zaÈ ion componenÈs â re t hus p robab l ys y n t . e c r o n i c t o p o s È t e c c o n i c p a r t i a lr emagne t . i zâ t i ons , bu t poo r l y sepa ra ted by t he rma ld e m a g n e t i z a t i o n s , d u e È o t h e o v e r l a p p i n g o fb l o c k i n g t e m p e r a t u r e s p e c t r a . T h i s b a d s e p a r a t i o ndoes no t a l l ow us t o compu te an accu ra te meând t r e c t i o n o f m a g n e t i z a t i o n f o r È h i s s e c o n d a r ycomponenc .

H igh t . emqe râ tu re componen ts . Meân -s l t ed i r ec t i on o f magne t i zaÈ ion HT componen ts a requo ted i n l ab1e 4 and d rawn i n F i gu re 8 as i ns i t u ( I S ) a n d c L a s s i c a l l y t i l È c o r r e c r e d ( T C ) . e sn o È e d e b o v e , È h e s e d a t a d i s p l a y W t o 5 H

d e c l i n a t l o n s a n d s t e e p d o w n w a r d i n c l i n a t i o n s .S u c h d i r e c t i o n s a r e q u i t e s i m i l a r t o t h e

l rn

tr

n<o

Page 9: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

Cogné : De fo rmed Red Beds o f

ÎABLE 3 . Mean -s i t e Mag re t i ze t i " on Low- l empe ra tu reComponen ts I so l a ted by The rna l Demagne t l zâ t l on

S l È e N I S T Ck o 9 5

Ordov l c i an Pon t -Réan Fo rma t i on 1 1 A . e 1

S È r ê i n - i n d u c e d d e v l a t i o n o f R M . H e r e , a s i n

o re i f 6 l î cases , Èhese anoma l i es can be suspecced

i o a r l s e f r o m a d e v i a t i n g e f f e c t o f s t r a i n u p o n

the h i gh unb lock i . ng t e tnpe ra tu re componenÈ o f

remanen t l nâgne t i zâ t i on (R t ' t ) . The p roposed

in te rp re te t l on i s shovn schemac l ce l l y i n l i gu re

9 . f he sed imen ta r y beds a re supposed t o be

t n i t l a l l y s u b h o r i z o n È a 1 a n d h a v e a s u b v e r t i c a l

RM. Sc ra i n du r i ng f o l d i ng o f t he f o ima t i on

induces t he deve lopmen t o f a subve rc i ca l ax i a l

p l ana r c l eavage . Tak ing i n t o accoun t . t he h tgh

ang le be ta reen t he subho r i zon ta l sho r t en ingd i r e c ! i o n a n d t h e s u b v e r È i c a l i n i t i a lnegneÈ iza t l on , t he dev ia t i on o f r emânen t vec to r s

t . owa rd t he f l a t t en ing p l ane ( t he cLeavage )r e s u l t s i n b o t h e f f e c È s d e s c r i b e d a b o v e .

1 . A t t h e s c a l e o f e a c h s i t . e w h e r e s t r a i n i shomogeneous (F i gu re 9b ) t he dev ia t i on o fr naSneÈ izaÈ ion i s ach ieved w i t houc any l oss i nw i t h i n - s i t e g r o u p i n g o f m a g n e t i . z a t i o n , e s w a s È h ec a s e i n t h e M a r l t l m A l p s r e d b e d s [ K t i g , f i e l d e ta t . , 1 9 8 1 , 1 9 8 3 ; C o g n é a n d P e r r o u d , 1 9 8 5 1 . I ncon t râs t , de fo rna t l on p robab l y t ends t o c l us te rt he da te , âs r r as obse rved i n expe r lmen ta ld e f o r m e t i o n o f s y n t h e t i c s a m p l e s I C o g n é , 1 9 8 7 b ] ,when such e case o f a h i gh ang le be tweens h o r t e n i n g d i r e c t i o n a n d i n i È ! a l d t r e c t i o n o fmâBne t i za t i on L ras s imu la ted . The anoma lous l y h i ghc l u s t e r i n g o f w i c h i n - s i È e d i s È r i b u t i o n s d e s c r i b e dabove can t hus be exp la i ned as Èhe resu l t o fs t r a l n ac t i ng on p reCecÈon i c r emenen tm a g n e t l z e t i o n .

2 . S ince t he remânen t mâgne t i za t i on i si n i t i a l l y c l o s e c o c h e f l a t t e n i n g p l a n e , t h edev ia t i on t ova rds c l eavage i nduces an ove ra l lc l u s t e r o f m a g n e t l z a t i o n v e c È o r s a t t h e s c a l e o ft he f o l ded a rea ( f i gu re 9b ) . Th i s exp la i ns Èhegood g roup ing o f da ta i n t he i n s i t u coo rd i ne tes ,and t he i nev i cab le d l spe rs ton nhen app l y i ng chec l a s s l c a l t i l t c o r r e c t i o n ( F l g u r e 9 c ) .

Obv ious l y , t h i s h tgh l y schema t . i . c desc r i pc i oni s conven len t on l y t o exp la i n na in f ea tu res o fÈ h e r e s u l t s t h a t a r e ( 1 ) t h e h i g h w i t h i n - s i . t ec l us te r o f pa leomagnec i c da ta and (2 ) t he goodg r o u p i n g o f b e t w e e n - s i t e d i s t r i b u t i o n i n t h e i ns i t u c o o r d i n a t e s . H o w e v e r , t h e s i m p l i f y i n ga s s u m p È i o n s u s e d i n t h e d e s c r i p t i o n o f F i g u r e 9

F i g . 7 . M e a n - s i t e d j . r e c È i o n o f l o w - t e m p e r a È u r ecomponen ts w iÈh t he i r c i r c l es o f . 95 "L con f i dence .I S , i n s i t u ; T C , t i l t c o i r e c t e d . I n t h e I Sp r o j e c t l o n , a s t . e r i s k a n d c L o s e d a n d o p e n s t a r sa re t he f o rma t i on mean o f HT componen ts ( guo ted

1n l ab le 4 ) and t he Ca rbon l f e rous and t he Loçe rP e i m l a n f i e l d d i r e c t i o n s , r e s p e c t i v e l y ; t h e g r e a tc i r c l e l s t h e b e s t f l t p l a n e o v e r t h e s e t h r e ed i r e c È i o n s . C l o s e d ( o p e n ) s y m b o l s a r e p r o j e c t i o ni n t he l owe r ( uppe r ) hem lsphe re . S te reog raph i cp r o j e c t i o n s .

DeDe

SAS DSH5 L

4349< q

4Lr+4

9118

l 2l-u

1

)

)

201 3200 6202 7.3163 54I U O ' L

204 -14201 25200 -?Lg6 t+5208 10

I S r l n s i t u ; T C , t i l t c o r r e c t e d ; D e , d e c l i n a -t i o n ; I , i n c l i n a t l o n ; k a n d d 9 5 , F l s h e r t s [ 1 9 5 3 ]s te t i s t i c s pa ra$e te r s ; and N , number o f en t r i est n c h e s c a t i s t i c a .

cha rac te r i sÈ i c r emanen t t nagne t i za t l on d i r ec ! , i on(R l { ) ob ta i ned by Pe r roud e t a l . [ 19E6 ] i n t heOrdov i c i an t tMou l l n de Cha teaupanne r i r ed f o rma l i on( D * 2 2 8 0 , I = 8 I o ) , a n d b y P e r r o u d a n d V a n d e rvoo [ 1985 ] i n che t he La te o rdov i c i an i n t r us i veThoua rs l . { ass i f ( r eve rsed d i r ec t i on D * 1600 , I =

E 3 o ) . I n t h e l S p r o j e c t l o n o f F i g u r e 8 , o u rd l r e c c i o n s a r e a l s o c l e a r l y d i f f e r e n t f r o r n t h ep r e s e n ! - d a y d i p o l e f i e l d a x i s . S i n c e w e d o n o Èk n o r . r a n y s t e e p l y i n c l i n e d f i e l d d i r e c t i o n i n È h eA r m o r i c a n M a s s { f s i n c e 0 r d o v l c i a n t i m e s I P e r r o u d ,1 9 8 5 ] , i t i s a s s u m e d t h a r t h e s e h i g h u n b l o c k i n gtempe re tu re componen ts , i so l a ted by t he rna ld e n a g n e L i z a t i o n , e r e a c t u a l l y t h e p r l m a r yp re tec l on i c mâgne t i ze t i on componen t o f t hePon t -Réan Fo r rna t i on .

Upon exam in ing t hc da la o f Tab le 4 and F igu reE , two remarks can be made .

1 . l t t h e s c a l e o f e a c h s i t e , m e g n e t i z e È l o nv e c t o r s a r e e x c r e m e l y w e l l c l u s t e r e d , w i t h t h ee x c e P t i o n o f s i t e s C B a n d S A , v h l c h v i l l b e

d i s c u s s e d l a t e r . T h e k D a r a m e t e r o f t h e F i s h e r r s

t 1 9 5 3 ] s t a t i s t i c s o f c h e w i t h i n - s i c ed i s t r i b u t i o n s i s o f t e n h i g h e r t h a n 1 0 0 ( s o m e t i m e s

2 0 0 ) , a n d i n t h e c a s e o f s i È e S D , i t i s h i g h e rt han 1000 . Such va lues , wh i ch a re qu i t e coûmonw iÈh in vo l can i c r ocks r r he re t he rmoremanen tr l l âSne t i zâ ! i on i s an i ns !an taneous reco rd i ng o fm e g n e t l c f i e l d d l r e c t i o n , c â n b e r e g a r d e d a sanoma lous l y h i gh f o r â sed imen tâ r y f o rma t i onç h e r e w i t h l n - s l t e k v a l u e s c l a s s i c a l l y r a n g e f r o m5 0 t o 1 0 0 .

2 , The second remark dea l s l t i t h t hec o n p a r i s o n o f i n s l t u a n d È i 1 È - c o r r e c È e db e t l . t e e n - s i t e d i s t r i b u t i o n s ( F i g u r e 8 ) . I t i sobv ious t ha t t he s imp le È i l t co r rec t i on i nduces al e r S e s c a t È e r i n g o f t h e q u i t e v e l l - c l u s t e r e d i ns i t u d â t â , l n r e l a È i o n w i È h È h e s t r u c t u r â lpos i t i on o f s i t es 1n t he sou the rn o r no r t he rnl l m b o f t h e s y n c l i n e . F o l l o w i n g t h e c l a s s i c a li n c e r p r e l a t i o n o f t h e f o l d t e s t , t h i s s h o u l d l e a du6 t o i n t e rp re t t hese pa leomagne t i c d i r ecÈ ions aspo6 t f o l d i ng . i . l e have t hus an anoma lous behev io ro f magne t . l za t l on du r i ng , un fo l d i ng , and t he samepa radox i ca l s i t ua t i on as i n t he Mar i t lme A lps :t i l E c o r r e c t i o n È e n d s c o d i s p e r s e d â t â w h i c h e r e

n o t l n t e r p r e t a b l e a s s y n f o l d l n g o r p o s t f o l d i n gr e m a g n e t l z e t i o n s .

180180

Page 10: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

11,682 Cogné : De fo r rned Red Beds o f O rdov l c i an Pon t -Réan Fo rmâ t i on

ÎABLE 4 . Mean -S i t e H lgh -Tempera tu re Componen ts o f MegneE izâc ion I so l a tedby The rma l Demagne r i za t l on i n Geog raph i c ( I n S i t u ) and Bedd ing (Un fo l ded )

Coo rd inaces , and A fÈe r S t ra i n Remova l and Î i 1 t Co r rec ! i on f r om theUns t ra i ned Bedd ing P lane (Unde fo rned )

I n S i t u Un fo l ded UndeformedS i r e n / N Û95

DeueDe

sA*S BS D

S Gstt

MBPM

cB*

Meank095

6 l E7 1 87 l a8 1 87 tpA I A

7 1 86 / 87 t 99 1 96 1 66 t 65 1 6

1 1 / 1 3

248 40272 82218 46257 56229 79263 71254 73264 65289 7o264 5828t+ 55223 6 t2t7 63

t ) q 6 t

29I

216 4?J 4 t ) l

234 6?J LU b.+

z . t J oo

220 62209 55249 60l L q ) )

220 562 2 3 6 6t L 4 4 V

J 4 6 ) t

L J I O { *

1 1

268 75202 70

/ . J 5 t4

L a t b v

188 5625r 67I84 60205 57238 Ell V Z ) 4

J )

34 10268 4

1008 21 7 8 4211 4I I a \

103 6100 5

I t I

213 4168 5

Z J I O

n /N , r a t i o o f nu rnbe r o fa n a l y z e d s p e c i m e n s ; D e , I ,

*Da ta r e j ec ted f r om che

( i n i t i a l t y h o r i z o n t a l b e d d l n g p l a n e a n d v e r t i c a lm e g n e È 1 z a l i o n , h o r i i o n t a l s h o r l e n i n g ) a r e f a rf r o rn bc i ng exâc t l y obeyed i n na tu re . Oned l sc repancy be tween t he p red i c t ed and rea l f i na ld i s t r i buÈ ions mus t be pa r t i cu l a r l y no ted . F romt h e s c h e m a t l c d e s c r l p t i o n o f F i g u r e 9 , w e s h o u l do b c a i n r h e f o l l o w i n g f e a È u r e s ( F i g u r e 1 0 a ) : i nt hè sou th d i pp ing beds o f s i t es f r om che no rÈhe rn1 l m b , p a l e o m a g n e t i c v e c t o r s s h o u l d b e l o c a t e d o nthe no r t he rn s i de o f t he c l eavage (o r magne t i cf o l i a t j . on ) p l ane , i ^ ' h i l e t hey shou ld be i n chesou the rn s i de o f t h i s p l ane i n t he s iÈes f r om thesôu the rn l imb . A l t hough t h i s s i t uaÈ ion i sg e n e r a l l y m € t l n t h e l a t t e r c a s e ( s i t e s S E , S D ,C B , S B ) , l h i s i s n o t n o t t h e c a s e f o r s o m e s l t e s

e n t . r i e s i n t h e s t a t i s L l c a È o n u m b e r o fk , a n d o 9 5 , " . r . a s i n T a b l e 3 .f o r m a t i o n m e e n e s t i m â t i o n s ( r n e a n ) .

270

l E O

F t g . 8 . M e a n - s i t e d i r e c t i o n sc o m p o n e n t s w i t h t h e i r c i r c l e sSqua res shoç d l r ec t i ons f r oms i t e s . S a m e c o n v e n È i o n s a s i n

f r o m t h e n o r t h e r n l i m b ( F i g u r e 1 0 b ) . T h i s i sp a r l i c u l a r l y o b v i o u s i n s i t e s L C , M B , S H , a n d S J .ï he re fo re t hese f ou r s i t es do no t obey t he g l oba lbehav io r desc r i bed above . Howeve r , t h i s anoma lyd i s a p p e a r s i f w e c o n s i d e r t h e t m a g n e È i z a t i o n w â sn o t a c q u i . r e d b y h o r i z o n r a l b e d s b u t b y a l r e a d ys o u t h e r l y d i p p i n g b e d s . T h i s h y p o r h e s i s i s

( o )

bmff iw/,<l-\ li\F+-n0{__#+___}

rc\-_l_/ \ï_/F i g . 9 . S c h e m a t i c i n t e r p r e t a t i o n o f s t r a l ne f f ecÈs upon p r ima ry magne t i za t i on w l t h i n r edbeds o f t he Pon t -Réan Fo rma t i on . Fo r exo lana t i ono f F l g u r e s 9 a , 9 b , a n d 9 c , s e e t e x t .

a

I e ô

o f h l gh - t enpe raÈu reo f , 95L con f i dence .

the southern l i rnbF l g u r e 7 .

Page 11: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

Cogné : De fo rmed Red Beds

/<-\ ,/î-\n , < - - \ / )(-ffiJ R=-:-\ / $'----7

o ( o / o

(D,l

F l g . I 0 . ( a ) l t r e o r e t i c a l a n g u l a r r e l a t i o n s h l p so f m e a n - s i t e p a l e o m a g n e t i c v e c t o r ( s t a r ) , b e d d i n g( S g ) , a n d c l e a v a g e ( s 1 ) f o r s i r e s f r o r n È h eno rÈhe rn (N ) and sou the rn (S ) l tmbs o f t hes y n c l i n e . ( b ) O b s e r v e d r e l a t i o n s h i p s i n l w o s i t e s(PH and SH) f rorn the northern l lmb. AMSd t rec t i ons w l t h t he i r e l l l p ses a f , 957 . con f i dencea re d raçn \ r l t h sane conven l l ons as i n F i gu re 2 .

c o n s i s t e n t ç i t h e h e d e s c r i p t i o n b y B a l l a r d e È a l . .

[ 1 9 8 6 ] ( s e e F i g u r e l d ) o f a s y n s e d i m e n t a r y d l p o fbedd ing p l anes t owe rd che cen te r o f bas in , andw i l l b e f u r t h e r v e r i f i e d b y t h e r e s u l È s o f s t r a i nl emova l app l i ed t o t hese pa leomagne t l c vecco rs ,a s d i s c u s s e d a t c h e e n d o f t h i s p a p e r .

W i t h r e s p e c È È o t h e g l o b a l b e h a v i o r d e s c r i b e da b o v e , l h e w e a k w i t h i n - s l t e g r o u p l n g o f s i c e s S Aand SB can be cons ide red âs ânoma lous . Houeve r ,H T m a g n e t i z a t i o n c o m p o n e n t s o f b o È h s i t e s ( F i g u r e

11 ) shos a non -F l she r i an , e l onga ted pa th f r o rnh t g h l n c l i n a ! 1 o n s t o ç a r d S W l o w e r i n c l i n a t ! o n s .I t l s t hus p robabLe t ha t p r ima ry O rdov i c i an andseconda ry Ca rbon i f e rous megne t i zeÈ ion componen tshave been poo r l y sepa ra ted by t he rna ldenagne t i za t i on w l t h i n t hese spec imens , as show ii n F i g u r e 6 b . S i n c e t h e y a r e p r o b a b t y b a d l ys e p a r a t e d d i r e c L i o n s , t h e p o o r q u a l i t y o f t h e i rv l t h l n - s i t e c l u s t e t d o e s n o È i n t e r f e r e l r i t h t h eabove ana l ys l . s , and t he da ta f r om s i t es SA and CBw e r e r e j e c t e d f r o m t h e f o l l o w i n g .

Mechan l sm o f RM dev iaÈ ions . The i n s l ! ud l s t r i bu t i on o f pa leomâcne t i c vec to r s i s he re i nsha rp conc ras t t à wha t i as obse rved i n t heM e r i t i m e A l p s r e d b e d s , w h e r e s t r a i n h a s ascaÈ te r l ng e f f ec t upon popu la t i ons o f r emenen tmagneC ize t i on vec to r s . l . l e mus t , ho reve r , po in tou t t ha t i t i s t he same fundamen ta l mechan i smt h é t c a u s ê s s u c h d i f f e r e n t f i n a l s t a t e s : t h edev ia t l on o f spec i r nen rnagne t i zec i on Èoward t hes t r a i n f l a c t e n i n g p l a n e . A s d e s c r l b e d e a r l l e rI C o g n é a n d P e r r o u d , 1 9 8 7 ] , l h e d e v l a t l o n o fç i t h i n - s l t e d i r e c t i o n E a n d t h e i r c h a n g e i ng roup ing t hen depend upon t he ang le be tweens t ra i n sho r t en ing ax i s and i n i t i ê1 magne t i zâ t i ond t recc i on aÈ t he sca le o f each s i t e o f homogenousd e f o r m a t i o n , w h i l e t h e o v e r a l l d i s t r i b u t i o n o fmean -s i t e d i r ecC ions depends upon s t r a i ndLs t r i bu t i on ac ross t he f o l ded a rea . Theseobse rvae lons po in ! t o Èhe need o f cons ide r i ngf l r s t t he e f f ec t s o f de fo rma t i on e t a sca le whe res t ra l n i s homogeneous , be fo re e t t emp t l ng t odesc r l be t hem a ! l he sca le o f a who le f o l dedf o r m a t l o n , w h e r e s t r a i n i s È y p l c a l l yheCerogeneous . Ï he on l y common po in t a t t he

1 8 0

o f O rdov i c l an Pon t -Réan Fo rma t i on 1J ,631

l a t c e r s c a l e i s t h e f a i l u r e o f t h e c l a s s i c a l f o l dtes t when us l ng pa leomeSne t i c da ta f r om s l r e i nedf o l d e d b e d s .

t he roÈac ion o f ne t measu rab le r emenen tm a g n e t i z a c i o n p r o b a b l y r e s u l t s f r o m t h e r o c e È i o no f e l emen te r y mâgne t l c m i c romomenÈs and Èhus f r omthe roÈa t i on o f hema t iÈe pâ r t i c l es t hâ t ca r r yt hem. t h i s assumed mechan i sm i s l n good ag reemen tr { l . t h Èhe ana l ys l s o f A l , lS da ta made above . As ame l ce r o f f ac t , i f , we cons ide r t ha t A l tS l s ma in l ydom ina ted by hema t i t e an i so t ropy , t he goodco r re l a t i on es tab l l shed be iween AMS and s t r â i nshows t ha t s t r e i n conÈro l s che deve lopmen t o fhema t i t e basa l p l ane p re fe r red o r i enÈa t . i on . T t r i gp re fe r red o r i êû tâ t l on deve lop rnen t r nay be ach ievedi n p a r t t h r o u g h r e c r y s ! a l l i z e t i o n o f o r l e n t e dhema !1 te , as unde r l l ned by che occu r rence i n somes l t es o f a seconda ry r nagne t i c ove rp r i n t i ngre l âced co t he He rcyn ian o rogeny . 0n t he o ! , he rh a n d , ! h e r e i g n o c l e a r d i f f e r e n c e i n s t r e i n / A M Sr e l a c i o n s h l p s t n s i t e s s h o r l n g o n l y t h e p r i m a r y

P re tec ton i c r emânenc megne t l zâ t i on . I t see rnsthe re fo re r easonab le Eo assu rne e r o ta t i onmechan i sm fo r t he reo r i enÈaÈ ion o f p r ima ryhema t i t . e pâ r t i c l es wh i ch ca r r y t he p re tec ton l cremanen t megneÈ iza t l on . No te , howeve r , t ha t . w l t ht h e e v l d e n c e a t h a n d , i t ' i s n o t p o s s i b l e È o s È a È ecacego r l ca l l y t h i s r o te t i on mechan l sm fo r p r ima ryh e r n a t i t e . N e v e r t h e l e s s , t h e c o n s i s È e n c y o f t h ed e s c r i b e d p a l e o m a g n e t l c v e c t o r b e h a v l o r w i t hp r e v i o u s r e s u l t s I C o g n é a n d P e r r o u d , 1 9 8 5 ; C o g n é ,1987a ] vhe re such a mechan i sm has been shown[Cogné and Gapa i s , 1986 ] o r mode led lCogné ,1 9 8 7 b 1 m a k e s 1 t h i g h L y p r o b a b l e .

Co r rec t i ons f o r S t ra i n - I nduced Dev ia t i ons o fP r e È e c e o n l c R e m a n e n t M a g n e t i z a t i o o .

Techn lque o f S t ra l n Re rnova l

t he ana l ys i s o f p re tec ton l c magne t i za t l ond l r e c t i o n a l d i s t r i b u È i o n h a s s h o r r n t h a t i c a r i s e sf rom one e l emen ta r y mechan i sm: t he dev ia t i on o fsPec imen remanenÈ megne t i ze t i on vec to r f r om i t . sl n i È l a l d i r e c t t o n t o w a r d t h e f l a t t e n i n g p l a n e o fhomogeneous i nce rna l de fo rma t i on . Th l s behav io ri s r ough l y cons l s t en t ç1 th t he behav io r o fp a s s i v e l i n e , f o l . l o w i n g t h e m o d e l o f M a r c ht1932 ] . Th i s mode l i s t hug used as a wo rkLnghypo thes i s i n o rde r t o es t imE te t he p r ima ryd i r ecc i on o f magne t i zâ t i on â t t he unde fo r rnedE t .â !e . Th l s t echn ique has been p roposed by Cognée t a l . I I 9 E 2 ] a n d d e s c r i b e d b y C o g n é a n d P e r r o u d[ 1 9 8 5 ] . I t c a n b e s r a u n a t i z e d a s f o l l o w s . I n t h et h e o r y o f M a r c h [ 1 9 3 2 ] , t h e f i n a l o r l e n È a c i o n o fa p a s s i v e l i n e i s c o n n e c t e d t o i t s i n i t i a l

180F tg . 11 . Spec imen I IT componenÈs o f magne t l zâ t i ona n d t h e i r m e e n s ( a s t e r i s k s ) i n s l t e s S A a n d C B .SÈereog raph l c p roJec t l ons i n geog raph i cc o o r d i n a t e s .

.^+sA ràr .'.) cB

Y V

Page 12: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

1 t , 6 u

o r l en te t i on t h rough t he t o tâ1 de fo rma t i on t enso r

1 . I h i s t enso r i . s decomposed i n t o two pa r t s I see

R a m s a y , 1 9 6 7 ] : a n i n t e r n a l d e f o r m a t l o n , o r

s t r a i n , l e n s o r S , a n d a r i g l d - b o d y r o t a t i o n

tênso r R . I n . an i denÈ i ca l way , we cân decompose

the t o te l dev la t i on o f pa leomagne t i c vec to r s i n t o

t e o p â ! c s : ( 1 ) d e v i a t i o n d u e t o s c r a i n a n d ( 2 )

r l g i d -body roÈa t i on . Fo l l o * i ng rhe i dea chaÈ

p a l e o m a g n e t i c v e c c o r s c l o s e l y f o l l o w t h e m o d e l o f

M â r c h [ 1 9 3 2 J , r e a s s u m e t h â t â n e s t i n a t e o f t h e

l e n s o r o f s t r a l n - i n d u c e d d e v i a t i o n o fpa leo rnagne t i c vec to r s i s g i ven by t he s t r â i n

t e n s o r S i c s e l f . A n e s t i m e t i c n o f t h e r i g i d - b o d y

r o t a t i o n i s p r o v i d e d , a s l n a l l o t h e r

p a l e o m a g n e l i c w o r k s , b y t h e s t ; i k e a n d d i p o f

b e d d t n g s u r f a c e a t e a c h s i t e - H o w e v e r , i n

de fo rmed beds t he bedd ing p l ane has a l so su f f e red

f t o m d l s t o r t i o n a l s È r a i n . I t l s t h u s n e c e s s e r y t o

c o r r e c t b e d d i n g t i l t e n d d i r e c t i o n f o r c h e s e

e f f e c l s l 0 t r e n s , 1 9 7 3 ; C o g n é a n d P e r r o u d , 1 9 8 5 ] .

Then , l he r i . g t d r o tâ t l on i s e3 l lmâced f r om

u n s t r a i n e d b e d d i n g p l a n e s . N o t e ! h a È p e r f o r m i n g

the t i l t co r recc i on f r om s t r i ke and d i p o f t he

u n s t r a l n e d b e d d i n g p l â n e o n l y c o r ! e c t s f o r t h e

pa r t o f r i g i d -body ro ta t i on abou t t he ho r i zon ta l

a x l s a È e a c h s i t e . T h i s m e t h o d d o e s n o c a 1 l o w t o

e s t i m a t e f o r r o t a t i o n s a r o u n d v e r I i c a l a x e s -

N e v e r t h e l e s s i n t h e P r e s e n t c a s e ' m a g n e È i z e t i o n

v e c t o r s a r e s t e e p l y i n c l l n e d , a n d t h e r e f o r e È h l s

l l r n i t a t i o n h a s l i t t l e e f f e c t .

1o summar l ze , t he t o l a l i n ve rse de fo rma t i on o f

each , magne t i za t i on d i r ec t i on l s pe r f o rmed i n two

s t e p s : ( 1 ) u n s t r a i n i n g p a l e o m a g n e l i c v e c t o r u s i n g

t h e r e l e v a n È l n v e r s e s t r a l n t e n s o r ; ( 2 ) i n v e r s e

r i , g i d -body ro ta t i on by t i l t co r rec t i on o f t he

u n s t r a i n e d v e c t o r , u s i n g s t r i k e a n d d i p o f t h e

u n s t r a i n e d b e d d i n g p l a n e o f t h e s i t e -

E s t i m a t e o f M e a n S t r a l n a t E a c h S i t e

Measu remen ts o f AMS ne re used t o imp rove t he

è s t l m a t e s o f m e a n s t r a i n w i t h l . n e a c h s i t e b y

c o n s l d e r i n g t h a t m e a n s u s c e p t i b l l i t y a x e s a r e t h e

p r i n c i p a l s t r a i n d l r e c t i o n s , a n d b y r e s e È t i n g

p r l n c i p a l s t r a i n v a l u e s f r o m t h e c o r r e l a t i o n

e { = 1 3 . 6 M t - 0 . 0 4 , e s t a b l i s h e d a b o v e . Ï T t e r e a s o n

f o r t h i s r e e 3 t i m a t i o n o f s t r a i n i s t w o f o l d .

1 . We can cons ide r t ha t r on t he eve rage t

p r L n c l p a l s u s c e p t i b i l l t i e s a n d s t r a i n s a r e

c o a x i a l o v e r a l l t h e s t u d i e d a r e a ( F i g u r e 2 ) .

Cogné : De fo rmed Red Beds o f 0 rdov i c i an Pon t -Réan Fo rma t i on

270

1 8 0 1 8 0

F ig .12 . l , t ean -s i t e HT componenÈs o f magneÈ lze t i on and t he re l evan t f o r r na t i on means

( a s t e r i s k s ) . I S , i n s i t , u ; î C , t i l t c o r r e c t e d ; S R T C , a f t e r s t r a i n r e m o v a l a n d C i l t

co r rec t l on f r o rn t he uns l r a i ned bedd lng p l ane . S le reog raph i c p ro j ec t i ons .

80

A n g u l a r d e p a r c u r e s f r o m c h i s c o a x i e l i È y w i t h i n

e a c h s i c e a r e a s s u m e d t o â r i s e r n a i n l y f r o m e r r o r s

t n f i e l d m e a s u r e n e n t . s o f c l e a v a g e , l i . n e a c i o n ,

e t c . I n c o n t r a s t , t h e p r e c i s i o n o f c o r e

o r l e n È a t i o n u s i n g p a l e o m a g n e t i c s a m p l l n g

t e c h n i q u e s , a n d t h e s È â t i s t i c e l p r o c e s s i n g o f A X S

d a t a , s u g g e s E E h a t p r i . n c l p a l s u s c e p t l b i l i l y

d l r e c ! i o n s a r e d e f i n e d w i c h b ê t t e r e c c u r â c y .

T h e r e f o r e È h e e i g e n v e c t o r s o f t h e s È r a i n t e n s o r

a t e a c h s i È e h a v e b e e n s e t p a r a l l e l l o t h e

e i g e n v e c t o r s o f t h e A M S t e n s o r .

2 . P r i n c i p a l s È r a i n v a l u e s h a v e b e e n

r e e s Ë i m a ! e d f o l l o w i n g s i r n i l a r a r g u m e n c s - 0 n t h e

o n e h a n d , p r i n c i p a l s t r e i n s h a v e b e e n e s È i m e t e d

f r o m t h e m e a n a x i a l r â È i o o f e l l i p t i c e l r e d u c l i o n

s p o t s m e a s u r e d . r i t h i n o r i e n È e d h a n d s a m p L e s - T h e

e x a c ! s t a t i s t i c a l m e a n i n g o f s u c h m e a s u r e m e n t s

w i t h r e s p e c ! t o t h e m e a n s È r â i n o f a s i t e i s

o u i t e d l f f i c u l È t o a s s e s s . 0 n t h e o t h e r h a n d '

i a l e o m a g n e t i c s a n r p l i n g i s m o r e w i d e l y d i s t r i b u t e d

w i t h l n â s i È e , a n d t h u s i t i s c o n s i d e r e d t o b e

b e t t e r r e p r e s e n t a t i v e o f m e a n A M S e È e a c h s i t e .

H e r e t o o , È h e r e i s a g o o d c o r r e l a t i o n b e t l t e e n

p r i n c i p a l s t r a i n a n d s u s c e p t i b l l i t y v a l u e s a t t h e

s c a l e o f c h e w h o l e a r e a ( F i g u r e 4 ) , a n d l o c a l

depa rcu res a re assumed t o a r i se f r om Lhe l owe r

â c c u r â c y o f s t r a i n d e t e r r n i n a t i o n . P r i n c i p a l

s L r e i n s w e r e c h u s r e c a l c u l a t e d u s i n g t h e e q u a t i o n

o f r e g r e s s i o n l i n e , a n d m e a n A M S d a t a o f e a c h

s t t e ( T a b l e 2 ) .

R e s u l t s o f S t r a l n R e r n o v a l

M e a n - s i t e d i r e c t i o n s o f p r e È e c È o n i c r e m a n e n f

m a g n e t i z a t i o n o b t a i n e d b y s c r a i n r e m o v a l a n d t i l t

co r rec t i on f r om the uns t ra i ned bedd ing p l ane a re

g i v € n i n T a b l e 4 a n d d r a w n i n F i g u r e 1 2 . l n t h i s

f i gu re , t hey e re comPâred w i t h t he i n s i t u and

c l a s s i c a l l y t i l t - c o r r e c t e d d â È a . O n e c a n s e e t h â t

t h e p o p u l a t i o n o f c o r r e c t e d d i r e c t i o n s i s

r e a s o n n a b l y w e l l c l u s t e r e d a t t h e u n d e f o r m e d

s t â t e . T h e p a r a d o x i c a l b e h a v i o r o f t h i s

p o p u l a t i o n u p o n s i m p l e u n f o l d i n g t h u s v a n i s h e s ,

a n d t h e h y p o t h e s i s o f a p r e t e c t o n i c m a g n e t i z a t i o n

i s v a l i d a t . e d . T h e c o n s i s t e n c y o f o v e r a l l m e a n

d i recÈ lon o f nagne ! i zâ t i on â t t he unde fo rmed

s t e t e w i t h o r d o v i c i a n p a l e o m a g n e t i c d i r e c t i o n

known i n t he A r rno r i can Mass i f lPe r roud , 1985 ]

a l l o w s u s t o d e f e n d t h e u s e f u l n e s s o f t h e s t r a i n

remova l t echn ique app l l ed t o t . he dev ia ted

Page 13: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

F lna l Es t ima t l - ons o f Fo rmac ion MeanM a g n e t i z a t l o n

1 t , 6 8 5

been re j ec l cd f r o rn t he f i na l es t i r î a t i ons o f

f o rma t i on mean rnagne t l zec i on t he t a re quo ted i n

l ab le 5 and d rawn i n F i gu re 13 .

I t l s t he unde fo r rned d i r ec t l on o f Tab le 5 t ha t

I c o n s l d e r t o b e t h e c h a r a c t e r i s È i c p r e t e c c o n i cpa leomagne t i c d i r ecc i on o f t he Ordov i c i an redb e d s o f t h e P o n t - R é a n F o r m a L i o n . S e a t i s t i c a lt es t s o f McELh i . nny [ 1964 ] show the t t he kpe ra r î e te r o f t he unde fo rmed mean i s s i gn i f i cane l yh ighe r t han k o f bo th i n s i t u and t i l t - co r rec tedmeans . l t r e unde fo rned d i r ec t i on i s i den t i ca l t ot h e O r d o v i c i a n m a g n e t i c d i p o l e f i e l d d i r e c t i o n( s ta r i n F i gu re 13 ) compu ted f o r t he l oca t i on48oN , 2 .5q ,1 f r om rhe Ordov i c i an vGP o f t heA r n o r i c a n M e s s i f a f È e r P e r r o u d [ 1 9 8 5 J .

Conc lus ions

T t re na in r esu l t s ob ta i ned i n t h i s scudy can be

summar i zed as f o l l ows .I F ^ 1 r f - ^ ^ r . L e P o n ! - R é a n F o r m a È i O n l s^ v r s r . , é v r s r ,

accompan led by t he deve lopTnen t o f an ax i a l p l ana r

c l eavage . T t r iE i nd i ca tes t he occu r rence o f s t r a i np t o c e s s e s d u r i n g f o l d i n g . S t r a i n i n d u c e s t h edeve lopmen t o f an an i so t ropy o f t he megne t i c

s u s c e p f l b l l i t y . S t r a i n a n d A M S t e n s o r s s h o w agood co r re l a t i . on be te . r een t he i r p r i nc i pa ld i r e c t i o n s a s w e l l a s p r i n c i p a l v a l u e s . W e c a n

thus cons ide r t ha t s t r a i n conÈro l s t . he magne t i c

f ab r l c . Tak ing i n t o accoun ! t he P resence o f ap r e t e c t o n l c r e m a n e n t m a g n e t i z ê t i o n , es t r a i n - l n d u c e d r o t a t i o n m e c h a n i s m i s i n f e r r e d f o rp r i m a r y h e m a t i t e t . h a t c â r r i e s t h i s m a g n e E i z a t i o n .t h i s r nechan i s rn i s t hough t Èo be qu iÈe s im i l a r co

the one desc r i bed i n t he Mer i t . ime A lps r ed beds

on t he bas i s o f X ray d i f f r ac tome t r y measu re rnen l s

l C o g n é a n d G a p a i s , 1 9 8 6 ] .? . The p rog ress i ve a l i gnnen t o f hemaÈ ice

w i t h i n t he c l eavage p l ane i nduces a r o t . a t i on o fn e t m e a s u r a b l e s p e c i m e n r e m â n e n È m a g n e t i z a t i o ntowa rd t h i s p1ane . A t . t he sca le o f eachh o m o g e n e o u s l y d e f o r r n e d s i È e , t h i s r e s u l t s i n adev la t i on o f t he mean magneÈ iza t i on t ôwa rdc leavage . Due t o Che h i gh ang le be tweens h o r t e n i n g a n d i n i t i a l m a g n e t i z e È i o n d i r e c t l o n s ,t h e w h o l e d e v i a t i o n i s a c h i e v e d w i t h e c l u s t e r i n ge f f e c t u p o n t h e i n i t i a l d i s p e r s i o n . T h i s i s i nc l . ose ag reemenÈ \ r i t h r esu l t s o f numer i ca l ande x p e r i m e n t a l s i r n u l a t i o n s I C o g n é e t a 1 . , 1 9 8 6 ;C o g n é , 1 9 8 7 b 1 . A t t h e s c a L e o f t h e f o l d e d a r e a ,

F i g . 1 3 . F i n a l f o r m a t i o n m e a n d i r e c t i o n s f o r t h e

P o n t - R é a n F o r m a t l o n . I S , T C , S R T C ( d o t t e d c i r c l e )a s l n F i g u r e 1 1 . A s t e r i s k i s t h e O r d o v i c i a nd i p o l e f i e l d d i r e c t i o n i n t h e A r m o r i c a n M a s s i f

I a f t e r P e r r o u d 1 9 8 5 ] ; k i s d i s p e r s l o n p â r a m e È e r

o f F i s h e r ' s [ 1 9 5 3 ] s t a t i s t i c s .

Cogné : De fo rned Red Beds o f O rdov i c l ân Pon t -Réan Fo rna t i on

TABLE 5

Imum 9s

I n 3 1 t uT i l t c o r r e c t e dUndeformed

r emanen t . megne t l za t l on d t r ec t i ons o f t he de fo rmed

red beds o f t he Ponè -Réan Fo rma t i on . Us ing t he

s tâc l sÈ i cs o f l ' l cE lh i nny [ 1964 ] , t he k Pa re rne te ro f t he unde fo r rned meân ePPea rs g ree te r a t t he 95%

probab i l i t y l eve l Èhan l n t he un fo l ded mean , bu t

l s no t d l f f e ren t f r o rn t he i n s i t u mean . The

iden t l ca l g roup ing o f l n s i t u and unde fo rnedm e a n s i s n o l s u r p r l s i n g , s l n c e t h e e f f e c t o f

s t r a i n , a s d e s c r i b e d a b o v e a n d i n F l g u r e 9 , l s È o

c lus te r mag f i e t i ze t ' i on vecLo rs . I t i s Èhusp robab le t ha t ' pâ l eomâSneL i c vec lo r s have s im i . l a r

o r be t ce r g roup ing a f t e r de fo rme t i on t han i n t he

i n i t i â 1 , p r e d e f o r m e d , s t a t e .Ho reove r , a mo re t ho rough exam ina t i on o f t he

resu l ! s shows cha t uns t re i ned pâ leomagne t l c

d i r e c t i o n s ( F i g u r e 1 2 , s R T c ) c l u s t e r l n t o t w o

g r o u p s . T h e f i r s t g r o u p o f s e v e n s i t e s ( P M , S B ,

S D , S E , S F , S G , S I ) h a s i n c l i n a t i o n s h i g h e r t h a n

7 0 o . w h i l e i n t h e e e c o n d ( L c , M B , s H , s J ) ,

i n c l i n a c l o n s a r e l o w e r c h a n 6 0 0 . W i t h r e f e r e n c e

Èo known Ordov i c i an d tâ , Èhe l a t t e r eppea r t oo

l o w , a n d È h i s g i v e s a s l i g h c l y e l o n g a t e d

d i s c r i b u t i o n o f p o i n e s i n t h e N - S d i r e c t i o n . l h e

ano rna l y o f t hese f ou r s i t es i s r e l a ted t o l he

a n o m a l y o f t h e i r l n s i t u d a t a , b u ! l s e a s i e r t o

i n t e r p r e È a t t h e u o d e f o r m e d s t a t e , a s r e s u l t i n g

f r om a bad es t ima l i on o f t he r i g i d -body ro ta t i on

dece rm ined f r om the d i p o f uns t ra i ned bedd ingp l e n e . I n e f f e c t , a s n o t e d i n t h e i n t r o d u c t i o n ,

B a l l a r d e È a l . [ 1 9 E 6 ] h a v e s h o w n È h a t t h e

P o n t - R é a n f o r m a c i o n w a s d e p o s i t . e d d u r i n g t i l t i n g

o f B r i o v e r i a n b l o c k s ( s e e F i g u r e l d ) . N e a r t h e

no rma l f au l t s , che sed imen te t i . on p l ane may have

h a d a s i g n i f i c a n t i n i t i a l d i p o f 1 O o t o 2 0 o

t o w a r d t h e c e n t e r o f t h e b a s i n s . S i t e s L C ' M B ,

S H , a n d S J a r e a c t u a l l y l o c a t e d n e a r s u c h

s y n s e d i m e n t a r y f a u l t s ( s e e F l g u r e 1 b ) , t h e i r

sh i f t f r o rn t he oche r g roup eve râges abou t 15o '

and t he d i r ec t i on o f t h i s sh l f t t oge rd t he sou th

i s c o n s i s t e n t w i È h t h e d i r e c t l o n o f s u s p e c t e d

s y n s e d i m e n È a r y d i p p i n g . I h e d i s c r e p a n c y o f t h e s efou r s i t es cou ld t hus a r i se f r om an i nco r rec t

t i l È c o r r e c t i o n f o r t h e s e i n i t i a l l y d i p p i n gs i t e s . N o t e t h a c t h i s s i t u a t i o n i s n o t d i r e c t l y

connec ted t o ou r sÈ ra in r emova l t echn ique bu t t o

t h e c o m m o n l y a s s u m e d , a l b e i t d i f f i c u l t t o v e r i f y ,

i d e a t h a t s e d i m e n c a r y b e d s a r e d e p o s i È e dh o r i z o n t a l l y . A s i m i l a r p r o b l e m w a s e n c o u n t e r e d

in t he l a t e ra l equ i va len t t 'Mou l i n de

Cha teaupanne r t r ed bed f o rma t . i on , whe re Pe r roud eÈ

a1 . [ 1986 ] showed t ha t t he Ordov i c i an remanen tmagneÈ iza t i on 1 tâs acqu i r ed by beds a l r eady

t i l t e d , p r o b a b l y d u r i n g s e d i m e n t a È i o n .F ina l l y , a l t hough re have some a rgumen ts Èo

e x p l a i n t h e s l i g h r l y d e v i a t e d p a l e o m a g n e c i c

d l r e c t i o n s o f s i t e s L C , M B , S H , a n d S J , w e h a v e

no p rec i se e l emen ts t o co r rec t f o r t hese

a n o m a l i e s . C o n s e q u e n t l y , t h e s e f o u r s i t e s h a v e

?54238235

o /t ut )

2 3

8 7

1 ?

T 77

Page 14: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

13,686 Cogné : De fo rmed Red Beds o f

3 t r e i n i n d u c e s a c l u s t e r i n g o f b e t w e e n - s i t ed i s t r i bu t i on o f mean pa leomagne t ! c vec to r s . I hec l a s s i c a l a p p l i c a t i o n o f r h e f o l d r e s t s h o u l dhave t hus l ead t o en e r roneous ass tgnmen t o f as y n c e c È o n i c t o P o s t t e c t o n i c e g e t o c h e s ep re tec ton i c pa leomagne t i c vec to r s . I n Èhe t e rmsused i n t he l n t r oduc t i on o f Èh i s pepe r , t h i srneans t haC the desc r i p t i on o f pa leomagne t i cv e c t o r s r r o t e ! i o n f r o m o n l y b e d d i n g p l a n eg e o m e t r y i s , l n e f f e c ! , i n a p p r o p r i a t e w i t h i ns t r a i ned beds , and conc lus i ons d rawn f r om th i sdesc r i p t i on a re i nadequa te . t h i s con f i rms t hes im i l a r ana l ys l s we nade t n t he Mar i t ime A lps r edbeds lCogné and Pe r roud , 1985 ] , and t heconc lus i ons o f Van de r P lu i Jm [1987 ] and Koda rna

[1988 ] d rawn f r om nune r l ca l - s imu la t i ons . Th i spo in t i s impo r tan t because we can suspec t châ t ess o o n e s c l e a v a g e d e v e l o p s , a n a l y s i s o fpa leo rnagne t i c vec to r popu la t i ons ' , r i t h t he he lp o ft h e c l a s s i c a l f o l d t e s t I G r e h â m , 1 9 a 9 ] c a n b eb i a s e d .

3 . l t r e p r o b a b l e r i g i d r o t a t i o n o f h e m a t i t e

P a r t l c l e s t h a È c a r r y t h e p r e t e c t o f l i cmagne t l za t i on i nduces dev ia t i ons o f RM. Thesedev ia t i ons appea r r ough l y cons i s l enC a r iÈh t hed e v i a t i o n s o f p a s s i v e l i n e s f o l l o w i n g t h e m o d e lo f M a r c h [ 1 9 3 2 ] . T h e p a s s i v e l i n e n r o d e l h a s t h u sbeen used as a wo rk i ng hypo thes i s i n an a t t emp tt o c o r r e c t f o r s t r a i n - i n d u c e d d e v i a t i o n s o fp a l e o m a g n e t i c v e c t o r s . A p p l i c a t i o n o f c h e s t r a i nr e m o v a l t e c h n i q u e l C o g n é e t a l . , 1 9 8 2 ] t o c h eremanen t megneÈ iza t i on vecÈo rs o f t he Pon t -RéanFo rma t i on has been shown t o be success fu l . Nos i g n i f i c a n t o v e r c o r r e c t i o n c o n n e c t e d w i t h t h eb e h a v i o r m o d e l o f M a r c h [ 1 9 3 2 ] h a s b e e n o b s e r v e d .A f : e r s i m i l a r r e s u l t ' s o b t a i n e d i n t h e M a r i t i r n e

 lps red beds lCogné and Pe r roud , 1985 ] and t heP y r e n e a n r e d b e d s I C o g n é , ] . 9 8 7 a 1 , t h i s t h i r dexamp le con f i rms che use fu l ness o f t he s t r a i nr e n o v a l t e c h n i q u e i n p a l e o m a g n e t i c s E u d i e s o fm o d e r a t e l y d e f o r m e d r e d b e d s .

F i n a l l y , È h e d e t â i l e d s t u d y o f s t r a i n / m e g n e t i -z a t i o n r e l a t i . o n s h i p s a l l o w e d t h e d e È e r m i n a t i o n o fa p r e t e c C o n i c d i r e c t i o n o f m a g n e C i z a t i o n f r o r o ade fo rmed f o rmac ion cha t shou ld have been re i ec tedb y c l a s s l c a l p a l e o m a g n e t i c a n a l y s i s .

Acknov ledgmen ts . P re l im ina ry samp l i ng andmeasu remen ts by M . P . l ex i e r encou raged me t oc o m p l e È e t h i s r e s e a r c h . I a l s o a p p r e c i a t e ds t i m u l â t i n g s u g g e s È i o n s â n d d i s c u s s i o n s w i t h C .L e C o r r e , J . P . B r u n , P . C o b b o l d . , a n d H .Pe r roud . R . K l i g f i e l d and K . P . Koda rna p rov i dedc o n s t r u c t i v e c r i ! i . c i s m s o n a f l e a r l y d r a f t . l h i sl s a c o n È r i b u t l o n o f C A E S S ( U n i t é P r o p r e d eReche rche du CNRS no 214 ) .

Re f e r enc e s

A n s o n , G . L . , a n d K . P . K o d a r n a , C o m p a c t i o n -i n d u c e d i n c l i n a t i o n s h a l l o w i n g o f t h ep o s t - d e p o s i t i o n a l r e m a n ê n È m a g n e t i z a t i o n i n as y n t h e t i c A e d i m e n t , G e o p h y s . J . R . A s È r o n .S o c . , 8 8 , 6 7 3 - 6 9 2 , 1 f f i

B a l l a r d , J . F . , J . P . B r u n , a n d J . D u r a n d , L ad i s c o r d a n c e B r i o v é r i e n - P a 1 é o z o i q u e i n f e r i e u re n B r e t a g n e c e n t r a l e : s i g n a t u r e d r u n é p i s o d ed e d l s t e o s i o n o r d o v i c i e n n e , C . R . A c a d . S c i .P a r i s , 3 0 3 , 1 3 2 7 - 1 3 3 2 , 1 9 8 6 . -

E o n j o u r , J . L . , J . J . P e u c a t , J . J . C h a u v e l , F .P a r i s , a n d J . C o r n i c h e t , U - P b z l r c o n d a t i n g o f

O rdov t c i an Pon t -Réan Fo rma t i on

t h e E a r l y P a l e o z o i c ( A r e n i g i a n ) È r a n s g r e s s i o ni n l . l e s t e r n B r i t t a n y ( F r a n c e ) : a n e n c o n s c r a i n tf o r t h e L o r r e r - P a l c o z o i c t i m e - s c a l e , C h e m .ceo l . I so topes Geosc i . , 72 , 329 -336 , -1968 ' .

B o u r n e , D . E . , a n d P . C . K e n d a l l , V e c t o r a n a l y s i sâ rd ca rces ian Èenso rs , Znd ed . , - 25 t rFp - ; * -

f f i ob i , 1977 .C a v e t , P . , J . J . C h a u v e l , H " L a r d e u x , a n d J .

B I a i s e , P a l é o z o i q u e d u d o m a i n e l i g é r i e n e n t r eA n c e n i s e ! C h a l o n n e s , B u l l . S o c , G e o l . M i n e r .

! :9 !3939, 11 ,61-65, 1 -C l e n d e n e n , I ^ 1 . S . , R . K l i g f i e l d , A . M . H i r t , a n d

W . L o ç r i e , S t r a i n s t u d l . e s o f c l e a v a g edeve lopmen t i n t he Che lms fo rd Fo rmac ion ,S u d b u r y B a s i n , O n c e r i o , T e c È o n o p h y s i c s , 1 4 5 ,191-211 , 19E8

C o g n é , J . P . , P a l e o m a g n e t i c d i r e c t i o n o b t a i n e d b ys t re i n r emovâ1 i n t he Py renean Pe rm ian redbedsa c l h e " C o 1 d u S o m p o r t r r ( F r a n c e ) , E a r t hP l a n e t . S c i . L e t c . , 8 5 , 1 6 2 - 1 7 2 , 1 ! E Ë :

coe;ilT:T:;E;æ"renîâl and numer ical model ingo f IRM ro ta t i on l n de fo rned syn the t i . c samp les ,E a r t h P l a n e t . S c i . L e c t . , 8 6 , 3 9 - 4 5 , 1 9 8 7 b .

cog f f i s , Fâss i ve ro teÈ ion o fh e m â t i t e d u r i n g d e f o r m a ! i o n : â c o m p a r i s o n o fs i m u l e t e d a n d n a s u r a l r e d b e d s f a b r i c s ,T e c t o n o p h y s i c s , 1 2 1 , 3 6 5 - 3 7 2 , 1 9 8 6 .

C o g n é , J . P . , a n d H . P e r r o u d , S t r a i n r e m o v a la p p l i e d t o p a l e o m a g n e t i c d i . r e c c i o n i n â no r o g e n i c b e l t : t h e P e r m i a n r e d s l a t e s o f c h eA l p e s M e r i t i . m e s , F r a n c ê , E a r t h P l a n e t . S c i .L e c t . , 7 2 , 1 2 5 - 1 4 0 , 1 9 8 5

C o g n é , J . P . , a n d H . P e r r o u d , U n s t r a i n i n gp a l e o m a g n e t . i c v e c È o r s : t h e c u r r e n t s t a c e o fd e b a c e , E o s l r a n s . A C U , 6 8 , 7 0 5 , 7 1 1 - 7 1 2 ,1 9 8 7 .

C o g n é , J . P . , N . B o n h o n r n e t , a n d P . R . C o h b o t d ,P r e t e c t o n i c m â g n e t i z a c i o n o b t a i n e d b y s t r a i nr e m o v a l ( a b s t r a c t ) , E o s T r a n s , A G U , 6 3 , 5 1 ,1 9 8 2 .

C o g n é , J . P . , H . P e r r o u d , M . P . l e x i e r , a n d N .B o n h o m m e t , S t r a i n r e o r i e n c â È i o n o f h e m a t . i t ea n d i C s b e a r i n g u p o n r e m a n e n È m â g n e t i z a C i o n ,T e c c o n i c s , 5 , 7 5 3 - 7 6 7 , ' 1 9 8 6 .

C o I l i n s o n , D . W . , M e t h o d s i n R o c k M a g n e t i s m a n dP a l a e o m a S n e c i s m , 4 9 9 p p . , C h a p m a n n a n d H a I l ,L o n d o n , 1 9 8 3 .

D i o t , i { . , R e c h e r c h e s s t r u c t u r a l e s d a n s l a p a r t i eo r i e n ! a l e d u d o m a i n e L i g é r i e n , T h è s e , N a n È e s ,1 9 8 0 .

D u f f , B . A . , T h e p a l e o m a g n e t i s m o f C a m b r o - .O r d o v i c i a n r e d b e d s , ! h e E r q u y s p i l l i t e s s e r i e sa n d c h e T r e g a s t e l - P l o u m a n a c r h g r a n i È e c o m p l e x ,A rmor i can Mass i f (F rance and l he Channe l1 s l a n d s ) , , G e o p h y s . J . R . A s t r o n . S o c . , 5 9 ,345-365, r f f i

D u n n e t , D . , A l e c h n i q u e o f f i n i t e s È r a i n a n a l y s i su s i n g e l l i p È i c â 1 p e r È l c l e s , T e c t o n o p h y s i c s , 7 ,t l / - I J b . . t y b y .

D u n n e È , D . , a n d A . t J . B . S i . d d a n s , N o n - r a n d o ms e d i m e n t a r y f a b r i c s a n d t h e i r m o d i f i c a t i o n b ys t r a i n , T e c t o n o p h y s i c s , 1 2 , 3 0 7 - 3 2 5 , 1 9 7 1 .

F i s h e r , R . A . , D i . s p e r s i o n o n a s p h e r e , P r o c . R .S o c . L o n d o n , A 2 1 7 , 2 9 5 - 3 0 5 , 1 9 5 3

F l i n n , D . , O n f o l d i n g d u r i n g t h r e e d i m e n s i o n a lp r o g r e s s i v e d e f o r m a t . i o n , Q . J . G e o 1 . S o c .

!3 !er , 118, 385-433, 1962:- - -F 1 i n n , D . , O n t h e s y m n e t r y p r i n c i p l e a n d t h e

d e f o r m a t i o n e l l i p s o ! d , C e o l . M a g . , l A 2 , 3 6 - 4 5 ,1 9 6 5 .

G a p a l s , D . , a n d C . L e C o r r e , I s t h e H e r c y n i a n

Page 15: Abstract. A joint study of straln, anlsotropy of m-iiiiffi ...cogne/pub/site_perso/Articles/1988_Pont-Rean… · PONT-REAN FORMÀTION, BRITTANY, FRANCE Jcan-Paecal Cogné Leboret.olrê

Cogné : De fo rmed Red Beds o f

b e l t o f B r i t t a n y a m a j o r s h e a r z o n e ? , N a t u r e .288 , 574 -576 , 1980 .

G a p a i s , D . , a n d C . L e C o r r e , P r o c e s s u s d edé fo r rna t i on à basse t empé raÈu re dans desa r g i l o - s 1 1 t i È e E e t d e s q u a r t z i t e s : e f f e t s d eL a l l c h o l o g i e e t d e s c o n d i c i o n s t h e r m i q u e s ,R e v . G e o l . D y n . G e o g r . P h y s . , 2 3 , 2 0 3 - Z l Q ,-

G t a h a n , J . W . , T h e E t a b i l i c y a n d s i g n i f i c a n c e o fnagne t i sm i n sed inen ta r y r ocks , J . Ceophys .R e s . , 5 4 , 1 3 1 - 1 6 7 , 1 9 4 9 .

Graha rn , R . H . , Quan t l t e t i ve de fo r rna t i on sÈud iestn t he Pe rm lan rocks o f t he A lpes -Mar i t imês ,H e r n . 8 R G È 1 , 9 1 , 2 1 9 - 2 3 8 , 1 9 7 8 .

H a n m e r , S . K . , C . L e C o r r e , a n d D . B e r t h é , T h ero le o f l he He rcyn ian g ran l t es i n chede fo rmaÈ ion and mecamorph i sm o f B r i ove r i an andP a l a e o z o i c r o c k s o f C e n t r a l B r i c t a n y , J . G e o l .S o c . L o n d o n , 1 3 9 , 8 5 - 9 3 , 1 9 8 2

n.* f f i Ï i teË'c imat ion of second-orderl e n s o r s w i t h r e l . a t . e d ! e s È s a n d d e s i g n s ,B i o m e t r i k a , 5 0 , 3 5 3 - 3 7 3 , 1 9 6 3 .

H r o u d a , F . , A . S t e p h e n s o n , a n d L . W o l t a r , 0 n t h es tânde rd i za t i on o f measu re f i en t s o f Èhea n L s o t r o p y o f m a g n e t i c s u s c e p t i b i l i t y , P h y s .Ea r t h P lane t . I n t e r . , 32 , 203 -208 , 1983 : -

Je rÏiîl]lll3iffii?al î?oces s ing of ânisotropyo f magne t i c suscep t i b i l t t y measu red on g roupso f s p e c i m e n s , S t u d i a G e o p h y s . C e o d . , ? 2 ,5 0 - 6 2 , 1 9 7 8 .

K l i g f i e l d , R . , W . H . ù r e n s , a n d W . L o r r i e ,M a g n e t i c s u s c e p t i b i l i t y e n i s o È r o p y , s t r a i n ,and p rog ress i ve de fo rmaÈ ion i n Pe rm ians e d i m e n t s f r o m c h e M a r i c i m a l p s ( F r a n c e ) ,

E a r t h P l a n e È . S c i . L e t c . . 5 5 . 1 8 1 - 1 8 9 . 1 9 8 1 .Kl i f f i . û l u i r r , and A . t , t .

B . S i d d a n s , E f f e c t o f p r o g r e s s i v e d e f o r m a È i o non t emânen t . magne t i zaÈ ion o f Pe rm ian redbedsf r o m t h e A l p e s M a r i . t i m e s ( F r a n c e ) ,

T e c t o n o p h y s i c s , Z , 5 9 - 6 5 , 1 9 8 3 .Kodama , K . P . , Remanence ro ta t l on due t o r ock

s t r â i n d u r i n g f o l d i n g a n d c h e s t e p w i s ea p p l l c a t i o n o f t h e f o l d t e s c , J . G e o p h y s .R e s . , 9 3 , 3 3 5 7 - 3 3 7 1 , 1 9 8 8

L e C o r r e , C . , A p p r o c h e q u a n l i t a È i v e d e s p r o c e s s u ss y n s c h l s t e u x , L r e x e m p l . e d u s e g m e n t H e r c y n i e nd e B r e t a g n e C e n È r a l e , T h è s e , 3 8 1 p p . , R e n n e s ,1 9 7 8 .

L e C o r r e , C . , a n d B . L e t h é o f f , Z o n é o g r a p h i e d e1 a d é f o r m a c i o n f i n i e , d e l a f a b r i q u e e È d umé tamorph i sme dans un segmen t de l a cha ineh e r c y n t e n n e a r m o r i c a i n e , B u l l . S o c . C e o 1 . F r . ,6, 1435-1442, 1976.

te f téof f , B. , Marqueurs eLl ipsoidaux etd é f o r r n a t i o n f i n i . e , A p p l i c a t i o n a u x s y n c l i n a u xd e B r e t a g n e C e n È r a l e e t a u x I ' m â n t l e d g n e i s sd o m e s r t d e K u o p i o ( F i n l a n d e ) , T h è s e , 9 6 p p . ,R e n n e s , 1 9 7 7 .

M a r c h , A . , M â t h e m a t i s c h e t h e o r i e d e r R e g e l u n gn a c h d e r K o r n g e s È a l t b e i A f f l n e r D e f o r m a t i o n ,Z . K r i s t a l l o g r . , E l , 2 8 5 - 2 9 7 , L 9 3 2 .

M c E l h i . n n y , M . H . , S È a t i s t i c a l s l g n i f i c a n c e o f c h ef o l d t e s t i n p a l a e o m a g n e t i s m , G e o p h y s . J . R .As t r on . Soc . , g , 338 -340 , 1964 : - -

O rdov l c i an Pon t -Réan Fo rma t i on 17 Ap�.7

û r e n s , W . H . , S t r e i n m o d i f i c a c i o n o f a n g u l a r

d e n s i t y d i s c r i b u t i o n s , T e c t o n o p h y s i c s , 1 6 ,2 4 9 - ? 6 1 , 1 9 7 3 .

Oz i rna , M . , E f f ec t s o f a p l . as c i c de f o rmac ion onthe remanen t magne t i ze t i on o f a Cu -Co a1 loy ,E a r t h P l a n e È . S c i . L e ! t . , 4 7 , I 2 l - 1 7 3 , 1 9 8 0 .

purffiR. E;bbold,MaÈhema t i ca l r emova l o f r eg i . ona l duc t i l es E r e i n s i n c e n t r a l B r i c È a n y : e v i d e n c e f o rw renëh t ec ton i cs , Tec tonophys i cs , 82 , 3 l - 7 -328 ,L Y ô 2 .

P e r r o u d , H . , S y n t h è s e d e s r é s u 1 t ' e c sp a 1 é o m a g n é c i q u e s s u r 1 e M a s s i f A r m o r i c a i n ,H e r c y n i c a , 1 , 6 5 - 7 1 , 1 9 8 5 .

P e r r o u d , H . , a n d R . V a n d e r V o o , P a l e o m a g n e t i s mo f t h e l a t e o r d o v i c i a n T h o u a r s M a s s i f . V e n d é e .r r e s t e r n F r a n c e , J . G e o p h y s . R e s . , 9 0 ,46tL-4625, 1985.-

573-582,ffi -

R a m s a y , J . G . , F o l d l n g a n d F r a ç r , u r i n g o f R o c k s ,5 6 8 p p . , 1 ' t c G @

R e m s â y , J . G . , a n d M . I . H u b e r , T h e T e c h n i q u e o fModern S truceural Geolosy. uoTlTlSîïâi i--ffi;ic, san oi"e.;-C a l i f . , I 9 8 3 .

V a n D e r P l u i j m , B . A . , G r a i n s c a l e d e f o r m a c i o na n d t h e f o l d t e s t e v a l u a t i o n o f s y n - f o l d i n gr e m e g n e t i z e t i o n , G e o p h y s . R e s . L e È È . , 1 l + ,I ) ) - L ) r , L Y é t .

V a n D e r V o o , R . , a n d C . T . K l o o t w i j k ,P a l e o m a g n e t i c r e c o n n a i s s a n c e s t u d y o f t h eF l a n a n v j . l l e G r a n i t e w i t h â s p e c i e l r e f e r e n c et o l h e a n i s o t r o p y o f i c s s u s c e p t . i b i l i t y , G e o 1 .M i j n b o u w , 5 1 , 6 0 9 - 6 1 7 , 1 9 7 2

V e i t c h , R . J . , I . G . H e d l e y , a n d J . J . W a g n e r ,H â g n e È i c a n i s o t r o p y d e l i n e a t o r c a l i b r a t i o ne r r o r , C e o p h y s . J . R . A s L r o n . S o c . , 7 5 ,407-40e-3'�Br-

Per roud , H . , N . Bonho rnme tPa leomagne t i s rn o f t heCha !eaupanne f o rma t i onF r a n c e , G e o p h y s . J . R .

, a n d J . P . T h é b a u l t ,O r d o v i c i a n M o u l i n d e

, V e n d é e , W € s t e r nA s c r o n : S o c . r 8 5 ,

t heM e d d .

a n d H . F .

l l a c te r son , J . , Ho rnogeneous de fo r rnac ion o fg n e i s s e s o f V e s t e r l a n d , S l . l G r e e n l a n d ,G r o e n l . . , 1 7 5 , I - 7 2 , 1 9 6 8 .

l . l o o d , D . S . , G . O e r c e l , J . S i n g h ,B e n n e t È , S l r a i n a n d a n i s o t r o p y i n r o c k s ,P h i l o s . T r a n s . R . S o c . L o n d o n , S e r . A , 2 8 3 ,

WZ i j d e r v e l d , J . D . A . , D e m a g n e È i z e t i o n o f r o c k s :

a n a l y s i s o f r e s u l t s , i n M e t h o d s i nP a l e o r n e g n e t i s m , e d i c e d b y D . W . C o l l i n s o n , K .M . C r e e r , a n d . S . K . R u n c o r n , p p . 2 5 4 - 2 8 6 ,E l s e v i e r , N e w Y o r k , 1 9 6 7 .

-- - f : :F:-Togné, Centre Arrnor icain d 'Etude

S t r u c t u r a l e d e s S o c l e s , L a b o r a t o i r e d eG é o p h y s i q u e I n t e r n e , U n i v e r s i t é d e R e n n e s 1 ,F - 3 5 0 4 2 R e n n e s - C e d e x , F r a n c e .

( R e c e i v e d J a n u a r y 2 8 , 1 9 8 8 ;r e v l s e d J u n e 3 0 , 1 9 8 8 ;

a c c e p t e d - I u l y 1 2 , f 9 8 8 . )