scismi city of matrmshiro micro carthquake swarm

14
Scismi city of Matrmshiro micro carthquake swarm (*) J. C. J)lUKOPOULOS (**) - H. N. SltrVASTAVA (***) - T. Ricevuto il Il! Agosto 1\)70 - lllll'illg UIO jJrak swarJll adivity at micro. Cal'thqllakes were rc('oj'(le,l at a)l(1 l'IratHllKhiro (m F2\f magndie ,lata rp'(·ol',lcr. 'l'IlO (Iuta 80 obbillc,1 Wé'l'l' Ilt.ilizeil lo ,.;tllil.V l.he or b ill fn;(lllP]((·Y·H(ilJi; nitlldll givcll by log]o.' = "I -/131, whl'J'c M the magllitn,1c all<I N is UIO 1l((Jllbcl' or It was [oullIl thal thc vulnc or b in .\latsu"hiro RW1U'lll i8 Hlon'· or in ;;llort inlcl'vul" oI lilllO bllt ,.)mllgl's , .. ignificlI.lltly for two dilfl'l'nHt jl('rio,lsof olmnrvation>\ of Tlle vahw of /, from tirI' oh,.;erval,ion" al has al"o hmm fOllml lo l'al hO!' ;\JI(ali aK "olllpar('([ lo that at RrASSUN 'I'(). - DIIl'allte l'illtell,''o perioilo ili attivitiì. av- Vlllll1to a l'Irat ";ll"hiro, le mino";"o";He fllrono nl/.:i"t.ratn a SIl7.aka P 2\I'atHIlShil'u con Iln n'gidl'atorl' a Hij.stro ma,t:'lwlko I ,lali "oHi oltclluli fUl'OIlO uti- lizzati l'C!' lo variazioni oli b. ,lalla rOrlJl\tla ili Gllhmlwrg-H.kllt.llr ,.)11' ll'ga la [n' IIIwnza alla. mag-nitlHlo 10g.N = /[ -".ll ,10\'(' ..Il la wagllilwlo c,l X il lllllllC!'O ,Ici tCl'I'cmoli pl'csi in Dalle of;81l1'vazionl f atte a (, trovato dw il valore di /, pe!' brevi int('rva.I1i (li tempo (, pii't o mFno ('o,.;tante, mentre yarin. HFn,.;ibil- meHte a SU7.aka qnij.H,lo "i ,li\'I'Hi perio,li Ilal COllo frolltO (1,01]', oSRervaziolll è polllto ('ollslatare t'hl' il valol'c di li rdalivo a MahnHhll'O è allJ1Jallto pii't piet'olo (li IJ1H'llo ('akolato per l. - 8eismicity of 1ht SllShil'o ea l'tltqnake f!warm beell t.lte subject of illt.el'est for the bst rew yen,l's. Some seinnologistH nmllely Sllyehiro, (.) Intel'Hij.tioHal Tnstit.llte of Seismology and Eart luluakl' Engineering Tokyo, Japall. (U) ScislIlolo!-(ical Lahoratory. Atlwns l:llivcrsily, Grcccc. ( ••• ) !!lIlia ;\Ici.co!'ological DCjJarllllclll, Lo,li Roa,l, }l'cw D,oIhi 3. I![{!ia.

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Page 1: Scismi city of Matrmshiro micro carthquake swarm

Scismi city of Matrmshiro micro carthquake swarm (*)

J. C. J)lUKOPOULOS (**) - H. N. SltrVASTAVA (***) - T. TERA~Hl.MA

Ricevuto il Il! Agosto 1\)70

SU~D1AltY. - lllll'illg UIO jJrak swarJll adivity at ~rat";ll,.;hiro. micro. Cal'thqllakes were rc('oj'(le,l at ~llzaka a)l(1 l'IratHllKhiro (m F2\f magndie ,lata rp'(·ol',lcr. 'l'IlO (Iuta 80 obbillc,1 Wé'l'l' Ilt.ilizeil lo ,.;tllil.V l.he val'iatio](~ or b ill r,lltenberg-H.khto·r'~ fn;(lllP]((·Y·H(ilJi; nitlldll rnln.tion~hijJ givcll by log]o.' = " I -/131, whl'J'c M i~ the magllitn,1c all<I N is UIO 1l((Jllbcl' or t'arthlJ1Jake.~.

It was [oullIl thal thc vulnc or b in .\latsu"hiro RW1U'lll i8 Hlon'· or lll.~,.; (~OnKtaHt in ;;llort inlcl'vul" oI lilllO bllt ,.)mllgl's , .. ignificlI.lltly for two dilfl'l'nHt jl('rio,lsof olmnrvation>\ of ~Ilzak!l.. Tlle vahw of /, from tirI' oh,.;erval,ion" al ;\Ia\..~IlHhiro

has al"o hmm fOllml lo h(~ l'al hO!' ;\JI(ali aK "olllpar('([ lo that at S11)~uka.

RrASSUN'I'(). - DIIl'allte l'illtell,''o perioilo ili attivitiì. mi(~ro,.;iKmica av­Vlllll1to a l'Irat ";ll"hiro, le mino";"o";He fllrono nl/.:i"t.ratn a SIl7.aka P 2\I'atHIlShil'u con Iln n'gidl'atorl' a Hij.stro ma,t:'lwlko F~J. I ,lali "oHi oltclluli fUl'OIlO uti­lizzati l'C!' Ht1!,li~I.!,t· lo variazioni oli b. ,lalla rOrlJl\tla ili Gllhmlwrg-H.kllt.llr ,.)11' ll'ga la [n' IIIwnza alla. mag-nitlHlo

10g.N = /[ -".ll ,10\'(' ..Il i.~ la wagllilwlo c,l X i.~ il lllllllC!'O ,Ici tCl'I'cmoli pl'csi in e.~alllC.

Dalle of;81l1'vazionl fatte a ;\Iat.~ll~hiro (, .~tat.o trovato dw il valore di /, pe!' brevi int('rva.I1i (li tempo (, pii't o mFno ('o,.;tante, mentre yarin. HFn,.;ibil­meHte a SU7.aka qnij.H,lo "i (,oH~i,]Prano ,I\H~ ,li\'I'Hi perio,li si~mit'i. Ilal COllo frolltO (1,01]', oSRervaziolll ~i è polllto ('ollslatare t'hl' il valol'c di li rdalivo a MahnHhll'O è allJ1Jallto pii't piet'olo (li IJ1H'llo ('akolato per ~";t,aka.

l. - TN'rIWDUCTTO~.

8eismicity of 1htSllShil'o eal'tltqnake f!warm ha.~ beell t.lte subject of illt.el'est for the bst rew yen,l's. Some seinnologistH nmllely Sllyehiro,

(.) Intel'Hij.tioHal Tnstit.llte of Seismology and Eart luluakl' Engineering Tokyo, Japall.

(U) ScislIlolo!-(ical Lahoratory. Atlwns l:llivcrsily, Grcccc. ( ••• ) !!lIlia ;\Ici.co!'ological DCjJarllllclll, Lo,li Roa,l, }l'cw D,oIhi 3. I![{!ia.

Page 2: Scismi city of Matrmshiro micro carthquake swarm

178 J. C. DRAKOPOULOS - II. ~. "RIVASTAVA - T. TERASHDIA

et n.1 (I) studied tho se.ismicit,y of t,he region for Celt earthquakes or eart,hqllakes of ratlwr large ll1agnitnde. In a series of lJal)ers, Hamada and JTn.giwn.rn. (~) relJOrted det,ailed re8lllts of tlw micro and ultra ll1icro­eart,hqnakefl in the area of ::\Iu,t,SlIRhiro Ilfling high sensit,ivity trivart,ite observations recorded on magnetic data recorder. 'l'hey fonlld t,hn.t, the valne of b in Gutenbcrg-llichter's relation8hip (3) did not, clmnge signiflca.ntly with respect to difIcrent intervals of time. :Further, the valne of b dUl"ing UlC abnormalIy high activity wa.s flill1ilar to that for normal seismie l1ctivit,y. They also found that the Ishimot,o-lida's coclftcient "In (4) examined with reS}Jeet to nltrn. lI1icro-en.rLhqnH,kes showod larger v a.lnc before two elimaxef! of flei:muc activity n.t the bcginning of Aprii and t,he end of August and the smH,lIer vH,lue l11)1)earcd jnflt after the climaxef!.

Thc party for soiflmographir. obflervn.tion and soiflmological sec­tion (~) obtained the valne of "In for overy lO days and tho valuos of b for each month flince 1Ifal'ch 1966. The value ofm at eH,ch fltation of obflcrvn.tion showed a sill1ilar belmvionr.

The object of the IH'{\f!{lnt palmr if! to fltudy thc seismicity in lmr­t,icuhlol" t,he variations of b in Gntenberg-Richtf>.r's l'elationshil) (3) within flllOrter int.erval of timo than studicd hithcrto with reference to t,he micro-earthqnakef! recorded at Smmka and :i\Tatsushil'O lmd COml1!H'e t,ho reslùts with t,llOse of other inve8t,igators.

,, ~w .... ,, ~,~t. '"~ ,.~.ULt.

Fig. l - Block dia.gram for micro-carthqllake o1.JServatiolls.

Page 3: Scismi city of Matrmshiro micro carthquake swarm

SEIMIICITY 01' MATSUSJU1W MIC1W EARTlIQUAKE SWARM 1 iO

'l'able l - 8UZAKA l (196,:;)

Munitur Perioù 01 Ob~(\r\'ation I Xum1Jer of

N° Pl'OIll '1'0 Eal' t1HIUakes

- -

I ]kl'. 20, 1411 1 Om Dlw. 20, l till3"m 12 2 1 ti ,i2 23 2" " 3 Dee. 21, OH 00 Ilee. 21, 12 42 31 4 18 42 20 40 2 ,i 23 45 Ilrw. 2') -, 00 48 O

" Ilox'. 22, 00 .51 01 44 O ; 01 '" 08 l" 1 35 8 08 17 12 31 " U 14 IO 16 55 33

lO I i 3i 18 51 O ]] 18 51 20 23 O 12 20 38 lltw. 23, ])]) 27 37 13 Ilox'. 23, 00 30 07 00 "' 14 Oli 00 Il 53 21 l,:; 12 32 18 00 52 lfi 18 O,i Dee. 24, 00 40 33 17 Due. 24, 00 41 00 "H 3 18 01 IO 07 30 40 IO 08 Oli 14 33 37 20 14 34 21 16 52 21 21 I; D('I\. 2,;, 00 06 18 22 De!'. 2,;, 00 14 07 30 41 23 08 34 13 O,i 26 24 13 13 16 12 I; 25 IO 17 In 47 32 26 Ili 48 00 ,i.5 61 2; De!:. 26, 00 ,,6 Dee. 26, 07 30 85

Suzaka ]] (1066)

50 Jun. 13, 011l12m ,J a ll. 13, 08"00,n 02 51 lO 23 12 23 14 52 12 2.5 1550 15 ,:;3 16 O" 17 lO 8 ,)4- I; Iii 21 36 I 60 ,i,i 21 ,,8 ,J an. 14, 00 lO 1 ,i6 56 .Tali. 14, 00 Il OG 45

I tii

5i I lO 05 12 14 7 58 12 IO 1 H ,:;2

I 1.50

,:;1)

I I n 30 21 MJ i4

60 21 51 23 35 n3 1 1

Matsush iro (10G6)

I I May 21, 00"10m I May 21, 04h44m I 510

Page 4: Scismi city of Matrmshiro micro carthquake swarm

180 ll II AKOI'OUr.OS .r. c. - S IIlVASTAVA Il . S. - 'l'EltASIl D!A T.

2. - INf:lTltU!lfENTA'l'lO-", AND COLLECTION OI<' nATA.

'l'IHl experimental ,~I'I'}~llgellwllt for t.he observatioll of lIli(lI'o-eart.h­qw~kes is giV()1l in -Fig. 1. 'fhe ouLpllt signalH frOlli t,hn't' moving ooil transducers oi 1 seo fnlO Ileriod wit.h It =!=- O.(i5 ,vere roeorde(l hy FM

magnetic tape l'ecO!'der after alllpW-ieation. 'rhe .~ensitiTit,y or thc transdueer iH 3.5 YoI1:/kine. Tlw respollse

of Lhe dat.,~ of Ff.I was l\at Irom nc to 250 eIl,~ with a shal1) cut orT. 'Plte gain of t.he aml)lifier was variahle dup01uling upon tlte grollllfl 1l00se. 'rlte t.'"I)eS wCI'e rePI'(l(luced h'ypen galvallometer~ of natural frequency 30 cp.~ witlt a papm spee(l oI 30 lllm/.~ec.

TIHI l)erio(l of observation alld the nUlnber of llIiero-e,~rLhqm1kes reeorded at, Slizalm amI Mat.sushiro are given in 'r,~hle 1.

During t,he period oI observat,ioll at ì\Iat.~lIshiro approxilllately 2

eartltquakes were recorded per llIinllt~l.

3. - CAT.GV"LATION OF ]'L\GNI'l'1'DF~<; OI<' l\IICHO-EA1~'l'l1lìlIAT;:E.<;.

'rlte ea.lcuh~t.jon oI nmgnitude of llIiel'O-ea.l-Lhqm1kes is bamd 011 t.he eOIlHidera tioll or atwnuatioll of seiSlllie waves with tlte epieentral

dista.uee. Mummatu et al (S), (lerive(l tlw following equatioll fol' c,~lellla.t,illg

the magnitude frOlll Lhe ohservations oI miel'o-lmrLhquakeH in the

vieillit,y of Gifu prefeetl1l'e.

.ili = 1.25 log ~i" (kine) 1- 2.5 log T (lnu) + 1.0 [lJ

whel'e A" i,~ Uw velociLy muplitude ,~Jl(l T is Llw h.Ypocentml diHtauce. HeCllllt.l.Y Tera~hillla (7) dl:'.1'ived the following equation Iol' the enlcul­at.ion oI magnitude.~ of llliero-eal't.hquakes.

M = log A"(T) + 1.5 log T + 2.35 [2]

V'h have IIs0Il ellua.t.ion [2J in the pre8ellt stlllly fO!' Lhe ealeulatioll

oI mngnitlt(le.~ of miero-earthquake8. Substitut.ing t.he inst.l'umental eOllHtantH and the hYl)()eelltral

(listanees in equa tion [2J we get:

- 0.-1-1 + 10gA -Fm' Suz,~ka monit.oring" recm'der

sensitivit.'y,2011unimVolt [3J

Page 5: Scismi city of Matrmshiro micro carthquake swarm

SEIS~IICITY Ù"'" ~J,\'rSlJSllmLl MleRO llAIlTIIQUA10: SWAIDI 1S1

JI = - 0.84- + log A

..ilI - 3,10 j- log A

1<'01' Suzaka lllollitol'ing reeorder ~en8it.ivity, 50mm,im Yolt. [4]

l·'or )htsushil'o monit.ol'ing ]'N',ol'del' ~en8it.ivity, 2mm/lIJ \'olt; [5J

whel's .il is the doublo amplitllde as moaslll'ed on tllo St>.if!lllogl'am",

! ! I l" \' , " 'l'I ! I I I , , , , I ,

,i. .. I , , , ,

I I i .

i i i l ; , ,

I , I I I I ' I •

i I I I I I I

I i I , I i I I ' " ... _. " , I I ,

Fig, 2 - Micro-eartlul!Jakes reeonled at ~uzaka 011 Ja11. 14-, 1\.166,

I

Fig, 3 - Mkl'o-cal'thquakcs 1'6001'<1e<1 at Matsushiro on May 21, 1966,

AlI tho oarthquakos of trace amplitude greater than l mm recorded 011 ~eismograms were ntilized for calclliating t.he magnitllde~ of llliero­oal'thqllftkes_ 'l'he ea.rthqllake~ of m agnitndo largol' tlmn that COl'­l'esponding- to tho traco amI)litude of 50 mm had to be omittod as t.he defloctions were too largo to be "\yit.hin the recol'ding papero

The dlll'ation of P amI.'; int.orval at Sllzaka wa~ appl'oximately 2 second~. r and 8 phasos wore not quite cloar at Thhtsushiro due

Page 6: Scismi city of Matrmshiro micro carthquake swarm

182 D UAKorO U LOS J. C. - S IH VASTAVA I I. N. - TImA1i Il DIA T.

to the location of the f\eif\mometers in the el)icentral region. Typical micro·ea rt.hquaokes rccordecl at Suzaka and J\Jatsushiro are shown in Fignres 2 aond 3 respectively.

,1. - RBSULTS AND DISCUSSION.

It is welI known th a t, the nnmber j'l of eart,hqlUvke8 during an arbitmry interval of t,ime in a given seif\mic rl-lgion is l'elatoMI to mlv' gnitude Jf by

log N = A'-bM. [lì]

Many investigl~torH use t,hif\ equation in the form,

log N = Ali + b (8-M) . [7J

In the above equations the constanw A', Ali l~llli b are coefficients which flore determined from the da,t,a by t,}ie least sqlUvl'e met,}lIId and the v a.l'iances are alf\o given.

The values of A' or Ali vary wit,h the cluration of timc of the data, geographical location and choice of .di'IL 'l'he valne of b i8 reh~t,ively uniform. lIu,,,ever, cOllsidemble diffol'ence of UIJiniun exists regarding the variations of b with the focal depth, geogmphical looa.t,ion, foresllllck and aftershock seqnences, eal'thquakEl swal'ms ,Lnll vI)lc,oni? eal't,}lqm~ke.'!.

'l'he value of b increases as the (legree of hettlrogencity incl'ea.'!efl and a.'! tlw degree of symmetry of the al)plied stress decrcases. .A dElcreasc of b with depth has been fonnd by fleveml sei.~mologists.

It has been fonnil ( ~ .U) that thEl v'olncR of b ,ore lal'ger for 'oftcl'shockR than for foreshocks. 'l'he constants bi and b" of the fore- and after· shock scqucnccs of the s,ome main shock are connectl-lll by the l'elation(O)

bi '"'"" (0.11 ± 0.13) + (0.65 ± 0.11) ba . [S]

Mogi (l~) 8hoWEl(1 exveriment,olIy that when foreshocks and aft,ershoch OCCUI' in the same volume the valtle b is sml~ller fol' fOl'eshocks than for aftershocks because the main shock ca.nsef\ new eracks an(l thUH the number of irregula.l' voints increasf\,~. The value b for earthquali:e swarmf\ is larger t,}Uvn fol' aftershocks or normal seismic a.otivity.

Ishimoto amI Iirla C') 1)rOl)08ed l~ fOl'mnhv

N(A) dA ~ H-m dA [9J

Page 7: Scismi city of Matrmshiro micro carthquake swarm

SEIS~IICITY 01' )IATSUSIIIIW )lICIW EAUTlIQU.\KE ~W.lIDl 183

where N is t,he ILlllnher of e'1.l'thquakes and A is the m.1.XimUlll tmee a.lllplitude. 'fhe coeffieients k andm are detel'lllined by t,he IE't\st square method. For..ti, it i~ suffieient, t,o oonf\idel' t,lw llla.xiul1Jln tmee t\mplit,nde of an arbit,rary chosen standal'd f\ei::!lllOgraph. COI'I'I\etiollS for distanoe must IlO llla.de fl'om the point of observat.ion to tho opi­centrai a rea.

Page 8: Scismi city of Matrmshiro micro carthquake swarm

JK-l- lJ]{AKUl'UULU~ J. C, - SHI\'ASTAVA Il, ~. - TE]L\~I!DU T.

SinCfl M -::: log A for Ollicolltral llista,llee eqlla l 1.0 100 klll a lld dA = AdllI it (!)"m be slwwn tlmt tll(' conHklo llt,s /; a llli III in tlw forllln­

!as [o] a llli [Hj a ro rolated by

/; = '11/.-1, [lO]

'l'lw 10g',.riLhm o( the onlllnla.t,iye fW1llll']WY funct,ioll N(j'U) and tlw lllagnitllde of mic]'o-e,w Llt1lllaoko ref'onlod :~t. t)m:a,ka dllring tlte lWl'ioù ~Oth j o ::!oth I k.fll'llllwr 1965 is showll in tlw Fig. -L 'l'ho 1llolH m: lol'kt'd with lejtl'],,~ A, 11, C, n, g a,lld 1<' indiclbt,e IlitII>l'ellt in­tOl"yah o( time, It llla y lw ,~eell tlmt, f~ ll tho six el1lTeH HI'O lj,pp]'oxiln­n,t,efy p, lo]'a lllll wit.,h (',wh otlwr im}llyill)..!," that /; Ylj,lnOH mlluLillH nOIlKLa llt ill ~ho]'t, illte]'Ya l of (ime. 'l'1m f]'('(lllCney llm)..!,"llihule ]'olat.ioll~hip fo]'

the~e <HlI'Y('S is (\X.IJI'I~,~H('d l)y

( ,l) log N , .li5 .0:") jl!

(II) log J..V , .-w .0:") ;li

(O) log -.N :l .::!.1 . O!! M

( li) log -.N . !]H .06 111 [11] (E) log N 1 . !ii! 1 .05 ;li

(1") lo}.!; N 1 .. 1\) Il .!W M

li'])..!,". (r)) giyeH Lite m ag"llitllde-froqul'lIey l'dn,t,ioll for nllotllOr 1H\]'iOlI of oh,~(~rvaLioll i, c,13th t.o l-it.h :\lH,~r 1!hW a l, Snzaka . AIUlOnglt t.,lle yahlO oI b iH sliglrUy difIcrellt., f]'OIll t1w )JI'eViOll8 set. oI ohHorva t.iolls (Fig. -i), tho v a lne of li 18 almof\1, Hta tiolla l'y dlL]'ing" difIorl\nt int,crvafi;

or tinte. '['[l(' ]'ef<lot.ioIlH hd,\n~I'1l lo}.!; N Vel'HIlS ;li a re giVOll a.s Iollow~:

(A) log N 2 .~9 1 .19 M

(Ii) log N ::! .18 1 .~\l M

(O) log N , .O~ .1 !! Al

( n) log N 1 .,sO 1 .18 111 lI::!]

(El log N 1 .:3/ 1 .1G 111 (P') log II 1 .39 .13 M

fn t.his case wc Jmd to oxefUlle t,he lllaglliLIHle Slll a lllw Lfl all -- O .!)

lwemlM' dlll'ing this IwriOiI L[m sellHiLivil,y 01 Uw (b ta rC'eonlor wa.'! nlmllg(~11 with Lite 1'(~,~IlIL tha t.. Uw muth(Jlm kes of wmller llmgllituùos ('onld Bot he roool'ùed tlm.J\1ghout tllo :pol'ÌOII of o!Jsel'va tioll. rl'hi,~ i8 the l'ea.soll why tlw cm'ves ùo not, Et. t,he dal,a fo]' t1le lllagniLndes lowm' t,lla ll - O.:"),

'l'he plot o[ log N Ve]"~IlH .M aL }h tf\lL8hi]'() is giveu ill :Fig. n, 'l'he yalno of b l'mnains statiollal',Y dUl'illg ùiilerent intervuls of Lime

Page 9: Scismi city of Matrmshiro micro carthquake swarm

• " - ~ • .. • • • • " " " " " • • • • •

~ ~ v p "

• o

• •

o

", ~ • • • •

.. ~

" •

~

, .. • -.. '. • • •

• , .. ", - • ~

"

Nt'ì

~ <! .. "

• •

r .. ..

~ • ,

" 2

~ ..

Page 10: Scismi city of Matrmshiro micro carthquake swarm

~ 'lo ... ,.,"1 • ... ~ . h

U ~ , 'II ~ ., •• ~

• , \O." . ... lo ~ • \ ~ O ·~I· ~

'-' • • , 'lo:. ' .h • ,., , .. ~ o.,'" , • O • > U • • O , <l ,

O ' .0 5 , ., • • , . , • •

1 • c

'.' o f ,.

• " ,., o < ~ • o • > o o • " ~ • " • • > '.' o • • <

> o •

Lo , C

, , , , o.,

o " " " ' ·0 > ,. • o

< o., > ; ..

• -' .'L -) .1 -}.O -1." -'. -1,·1 -., -z. .~ -1.'1 · 1·\ -1."1. -'l·t -'1..- -" - l.' -n ·u -" - 1.'1

" ,

]i'ig. 6 - I •• ,. ve r ... us JI J<1r !l ifferenl. inl.ervtl.l,. 0 1 ti nl(' Te<'onlC'tl " i'Jahm!ihiro ( 196H).

Page 11: Scismi city of Matrmshiro micro carthquake swarm

SEJ~~lICJTY 010' ~IAT~U~J-JJRO MIGRO l~ARTHQ,UAKE ~W."'IB[ 18i

foJ' this period of obsel'vation although the value of b is srnallel' than t,lu~t a t Suzaka. Thc least squarlìs fit blìtween IOg" N ltnd . .:lf fOl' dif­ferent bme int,ervals (Fig. 6) is given below:

(A) log ],T 0.10 0.8..1- M (B) log ],T () .1H O .. ~3 . .:lf

(C) log N () H O . 86 . .:lf

(D) log N () 57 0.92 M [13] ( l<J) log N () .88 0.97 N

(F) log N 1 O" ."' 0.86 N

(a) log ],T 1.38 - o 86 M .

In Table II tlw cllmula tive fl'equency of N1rthquakes for ali cases is given.

'l'abl .. Il - CU~IULATJ\'E FREQUEXCY OF ]<:AR1'IIQU.\KES

• VrolIl Sm;aka I FI'Olil :-luzuka Il Frolll .\Iat..4u~hiro

:.r ago CUIl!. I :\fag. CUlli. "rag. CUlli.

M freq. ][ freq. ,l{ frl'q. -- - - -- -

- O . .J. H4!J -O . H 610 -3 2 510

-0 . 3 7.J.2 -0 . 7 ;ii8 -3 . I 467

-0 . 2 H4!J -O . ti 545

I -3 O .J.36

- 0 . 1 555 -O . fi ii22 -2 . D 3im

0 . 0 4iiH -OA 47H -2 . 8 2%

() . 1 :170 -0 . 3 3ii .. 2 , 23i

o. 2 2Ui -0 .2 320 -2 li 18ti

O. 3 235 -0 . 1 261 -2 , l4i

0 . 4 lill 0.0 20.J. -2 4 128

0 . 5 l3ti O. j 158 -2 .3 114

O. I! 10H Il 2 130 -2 . 2 87

O. i 83 0.3 08 -2 . 1 i3

() . 8 70 Il 4 tiU -2 .0 ti3

O U 53 O 5 .J.ii -I . 0 ii 1

1.0 '" Il li 3;; - I . 8 43 1.1 " Il 7 21! - I , 34 1.2 19 O 8 \;j - I .I! 24

1.3 5

I O 9 7 - I . 5 III

1.11 2 - 1.4 2 1.1 I

I

Page 12: Scismi city of Matrmshiro micro carthquake swarm

I,'\X 1J 1I AKOPOliLOS .r. c. -- ~ U n-ASTAY,\ II. :\". - TERASnnlA T.

Frolll 1;hc u,hovc result~ it may be sccn that, thc valuc or b is sta tionary in short intcl'val or time in earthqm~ke swarmi>. 'rhis result is simila r to tlmt ohtainC!1 fOI" l ~ft,(wshock SI'qlwncllS (II). Ho\\'­lWCI", in thcsc 1'1Ll"thqnakc swarms, thc vu,hw of li changcs significH.nt,]y in dilhwenl mont·h" 01" lli1rm'l'nt ])CriOlL of ohMlI""Va tion n.

O. Ri) .8

. .s - 2.:J Ftd,. lo :\Ial".

rOI"l'·aHt'.r~ll(wk~, ~wal"lll ' l lIol"lIIal s\'i"mit'itJ'

:\[lIl~II~llÌl"o i'W:l1"1II

I U - l.n I ,ApI". lo ,llIl!.

[.S <).J. I ,I III. to .\11g-.

1l.!lii- I . .J.O 1/1, 2. [ !ili F~ lo. I ~Hi!i

1.1

O. :J,") 0.7(;

O.iiii±0.05 1.13±O.O.J.

O.lj lo I.:J

r')l"e"ho('k~' :\rllt.~l1~hil'o aftel""[lOt~k~

rOl"c~IJ<,('k,,' CIIiII':lIl arteI"HIJ<)('k.~ l'urlh,[.

Lal"g-e Pil1't.hq. ili ,liIT\'l'l'lIt, ~I'i~mit~ n'.g-ioJI~

onlilllll"y parlll,[uakt,t; ! allll aft'I'T><h,,,'k ad,ivit.y

AIIIIIIII""

Il1IllIf\!la .'\: Ilag-iwal"a I !llili, l't. I

lIaJlL~\!la .'\: lIag-iwara InnO, l't. 2

[laIJlf\!llI So. IIlI!.!,"ÌwlIl"a I !llili, l't, 3 '

l'al"t.y fOI" Spi~JllOg-l"a[)hi(' ()h~t'.rl'at.ioll ([\Jtl7)

[[ol"i (IHtr"i)

Sl1,Vl'hiro. l't al. ([HO.J.)

~ll:>'f\hiI"O (I ~Hi!i)

Glltmllh'Tg $.: Ri"litl1r (I H;j.J.j"

:-ìllzuki ([ ~j,")~j)

In TaNc Hl, thc valucs or li l ~ll(lm ohta inc!l hy dilTm'ellt in­vestigators are g-iven ror Jlatsushiro rcgion. Tt nmy be .~mltl t,hat thc vH.lllc of li COm])al'llS wnlI with thc clLrlicl' \vorkers.

SUyllhil'O (l) noLiec!l a ~llhstl ~llt.ial dilTenmcc betwcen thc forcs­hoeks and aftcrshocks in tlw b vahw whieh was fOlllld to he 0.35 for tlw foreshocks l~nd 0,7(; for thc l ~ft(\rsll()(lb or l ~ Sllutll lH'I'Cc])tible

Page 13: Scismi city of Matrmshiro micro carthquake swarm

SEIS)lI('ITY ()F ~L\TSlTSIITnO ~llcno EAH'I'IIQUA"KE ~WAIOI JHfI

oarthqllako in tlw )Ia,tsnshiro rogiml. ComparmI with them Hw v ahw of li i~ larger l ~~ is expeetod far tllo oal'thqllakC' ,~warlll,~ al!!! aho sng­

gostml by the oxporilllonts of i\Iol!i (I~). H howovor, tlle v a lno o[ b for )Iatsnshiro l'el!iou l[nl'iul! file HWlU'm

i,~ cOlllparod with t!mt of genomi SOiSlllicity OVOI' dil1(1!'(1Ut p!;\e!\i; in tho world (13), it is rathel' diflicult to 00110h1(10 tllat t!w ya!no i,~ Iliglw~t.

dnl'ing tlw SWu,rlll. 01](\ of tlle pos~ihl0 l'oason,~ far thiH llis(,l'epancy is a,t,trihlltnd to t!w dittm'(mt gmphieal all(I nmtlH'lllMicallllotllods mpd [or detl1t'lllining b va!n(','l, )H1sidpH tlw 11.~e or dilferellt lltagnitude sl·all's.

5. - COè'fCLTTSlON.

'[']w abovll stlJ([Y hl'inl!s to light tlw iuterc~tilll! cOllelmiou thaj­iu Il[l,rthqllfl,ko SWlUlil tho valno ai b l'olllaim station1H.v iu a sliOrt lime interval l~lthough it nmy cha,ngl' OVOI' dilferont ]wriod aI observat.illm.

G. - ACKXOWLEDGEI'IIEN'l':'l.

'l'he a.nthol's l~re ~'Tatpfu! to Dr. S. ()IllOte, ;\diul! llirnctor of lJ1tol'w~tioua,! Illstitute of Seislllo!ogy l ~IHl Eal'thqw~lw Enl!inoering, Tokyo, for eUCOllral!lllll(mt and far providing tllo lH'('eSslw~' [a,c,ili1il's Ior the IH't\~ml1 inv('stil!ation.

(') SYUEHIIW S., A.~AIH T. & :'IL UIlTAK.:, POn'S/lfJckR (Imi Ai/rr".lwck.~

"-lecolllf!lwyiny Il PaGe}J/.ible h'arl,hquakl' iII Celi/mi .!ajJall-, "Pa]lllr~

,rlltt'O!". Geoph.y~. 1'okyo ",15, 71·88, (HHi-1-).

(' ) ILuL\DA K &; T. HAGIWAI(A, lIjgh Sell".i/i!'i!.l! 1'ri}Jar/.itc O/"<frm/iol, 01

JlII/~I/.".hiro BarlhgIHlke~, ,. Bull. EartlHl. R('~. In~t.." PurI 1, 121:1-123.-., 1'111"1. 2, 1 2:111· I 21i1i. l'art, :{, HiIi7·IH'-'7, (I!llili), l'art -1-, Li!l·

!\Hi (I !Hii).

(") GlJl'llNIlEIW Il. & C. HICTlTEI\, 8r:isJJl.fcil!l o/11M.' 11'111'/11. Imd A~socilll,l'd f'hr­'1II11I1C/I{I .• PrÌncctoll l~niver~ity Pm;;;; ", (1005).

(') [SIII}IOTO .\1. & lillA K., ()/lsl'rl'lllillll~ il'l/)" [rs SriSI!lI'N Hllre(!i~lrls }J/l1"

k Jl icroseismoyrn}Jhl' (!r/ll.N/rll il, f)rrll-ihl'llIcllt" Il 1111. Eurt li 'I. R('~. [n~L 17, .J-.J-3 . .J-7K, (111311).

Page 14: Scismi city of Matrmshiro micro carthquake swarm

190 fH ! AKOPOULOS .1. C. - S Il IVASTAVA II. N. - TERASIIIMA T.

(') Purly for Sei~mogruphic Observatioll of ][atsus/dro Eal'thqnakcs and HeiwlIUlmetrieul Hcction, .l[alsu~hil'O BUl'lhquakes Obscl't'ed wilh a Ternpo. rary Seismogra!,hic Network, l'art 4,45, 887-9l7. (i9H7).

(') ;-'TUltA)IATU I., et al. O!Jsc1Tutioll of .l[icro-earlhqll(lke~ in J[ino dislricl in Oifu Prefect.ure, Ceti trai .!o/lUn "J. of l'hp\. of the l';arth ", 11, 35·49, (191i3).

(1) TERAsnBIA T., .l[agnillldc oj ]ficro'l'urthquuke alld tlw Hpectra oj JIicro· MlrUlqu(lk e IVavel,' ,. Bull. liltorn. Ill~t. ScislIl. Eal'tllq. Engin ", 5, 31·101:!, (Hl(jl:!).

(") SUY.~:l!JIW ~., j)iOel'mlc~ !J~tlt'eMI Ajll'1"8/wcks (llId F01'es/wekli in lhc RI~.

l.alionship (lf ][agni/udc to l<'rcq-lIl'ne!! oj Occ-urrcllce lor the Gl'eal Chilwn b'urlhquuke io 1%0 "Bull. SPiSlll. Soc. AlIl.", 56, 185·200, (190H).

(') ])ltAKOPOULOS ,j., Ghamc/eri~iie l'araml'lrr~ of Fore (llId Allcl'6hock Hc· quenecs iII Ihl' Hegi(ln oj (frecce, "Di88ertatioll ill Athen8 Univf'.rsity" ( 19G8).

(IC) ;-'TOGI IL, H/ud!! (lf E/rullie 8hod:s Caused b!!lhe Fraclurc 01 IIell'l·o.qeneo-us .l[alel'i(ll~ all{i IIs re/.alirJ!l.s lo Bar/hquakc Phcuollle/la, "Bull. Eal'thq. ReR. 1118t.. ",40. 125·174 (19H2h).

(l') UTSU T., On the N(I/ll1'e oj Thrl'e A/.a8krW Aliershocks 1'3cquellees (lI 19ii7 anri 19,;8, " Bull. ~eh\ll'. So!'. Am. ", 52, 279·297 (l962).

('2) ;-'TOGi K., Home ])i8c-us~irHls rm AI/e1"8hock8 F01"Cshoeks al/d Earlhq·uakc Hworms - 'l'he Fmcture oj a HMni·lnfinile Body CallsetI by ali Inner Stress all~l Ils rdatio-//. lo thf- Earlhquakf- Phcnomcna, "Bull. I(nrlhll. Res. fast. ", 41, lili)·658, (l963b).

(l~) ISACKS B. an,] UL!y.~:1t J., Scismie IV(wes with Freqllf-ncies Irom 1 lo 100 r;ycll'8 pa 8eeoml Reconlcrlin a Deep Jline iu Northern NC1j' ./crsc!!, "Bull. ::)ei8nl. ::)01:. Am. ", 54. 1941·1979, (1904).

(H) Hom M., .l[al8ushiro Burlhquake Slt'unn auri J/s PeriJ!hcral Scis1IIicily, "Bull. l';arthq. Rei<. last. ", 45, 489-503, (l967).

('0) SUZUKI A., ,1 slalislical Sturiy on Ihe Oecurre/lec oj Hmall Bar/hquakcs, "::)ci. Rept. Tohoku Uaiv., ::)el'. 5, Geollhys." Il. 10·54, (1959).