borehole water-level variations and the structure of the ... · h a ut glacier d ' aroll a is...

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Journal ofClaci%g)" \ '0 1. 4 1, K o. 1 39, 1995 Borehole water-level variations and the structure of the subglacial hydrological systelll of Haut Glacier d' Arolla, Valais, Switzerland B. P. HUBBARD , Cfl/tre Jor C/aci%PJ" Institute oJ Eartiz Studi es, Uni versify oJ II 'ales, A be1),Slll ')' tit , D).'fed S )123 3DB . I Vale s M .] . SHARP , De/Jar tment oJ Ceogra/) / I) ', Univfrsil)' oJ A lbe rta , Edmollton, ALberta T 6C 2H 4, Callada I. C. WILLI S, NI. K. De/Jartment oJ Geog rajJ /o', L 'ni l'er si l) ' of Cambridge. Cambridge CB2 3t. .... \ ', England C. C. S! VIART DejJartment oJ Cniu ersi£l' oJ Il 'estem Ontario. London, Olltario ,1 \ 6A 5C2, Canada ABSTRACT. La te-s umm er subglac ia l wa le I' press ur es h ave been meas ur ed in a dense a rr ay of boreholes in the a bl at ion ar ea of Haut Gl ac ier d' !\roll a, Sw il ze rl a nd. I nt e rp ola ted s urf aces of minimum diurn al wa ter press ur e a nd diurn al wa te r-pr ess ur e \ -a ri a li on su gge sl lhe pr ese nce of a s ub gl ac ial cha nn el w ithin a more wid esp r ea d. distrib ut ed dr ainage syste m. Th e cha nn el fl O\ I 's along lh e ce ntr e of a l'ariable /Jress llre a,is (VPA ), som e lens of me tr es wide, th a t is characte ri ze d by low minimum diurn al wa ter pr ess ur es (fr equ e nt ly atmosphe ri c) a nd hi gh diurn al wate r-pr ess ur e va ri a ti ons. Th ese c h a r ac teristics arc tr ans itional ove r a lateral distan ce o f' c. 70 m to hi gher and more sta bl e s ub glacial wa ter press ur es in th e adjace nt di s tribu tc d system . vV ater- pr ess u re va ria ti ons reco rd ed in boreholes loca ted cl ose to th e cen tre of the VPA renect the d el i\'ery of surface -d e ri\ 'ed mel twa ter to the glacier bed and r es ult in a diurn a ll y re\'C rsin g, tr an svC\'se hydr a ulic gradie nt th a t dri\'es wa ler o ut fr om the cha nn el in to the distr ibut ed sys tem durin g the a f't e rno on and b ac k to the cha nn el ove rnig ht . Subglac ial obsern ltions suggest that such fl oll- occ ur s throu gh a ve rti ca ll y co nfin ed sc dim e nt laye r. Borehole turbidit y r eco rd s indi ca te th a t lh e r es ulting diurn al water nO li 's arc responsible for th e mobili za ti on a nd transpo rt of fine debris in suspension. Ana lys is of the pr opaga ti o n \' e1 ocity a nd a mplitud e a tt e nu a ti o n o f th e diurn al pr es s ur e lI' a\ 'es su gges ts th a t th e h ydr a uli c co ndu cti\'ity of th e se dim e nt laye r d ec reases ex pone nt ia ll v wi th dista n ce from the cha nn el. fa llin g fr om c. 10 -I m s I at th e channel bo und a ry lO c. 10 7 m s I 70 m away . Th ese a pp a;'e nt hy dr a uli c co ndu c ti v iti es a rc co nsiSle nt with Darcian n ow thr ough clea n sa nd and ty pi ca l glacial till, resp ec ti\ ·e ly. \\ 'e su gges t th a t fin e m a terial is system a li ca ll y nushed from basal se dim e l1l s loca ted adj ace l1l to large, mel l-seaso n dr a in age cha nn els ben ea th wa rm-b ased glac ier s. Thi s process m av h a\'C impo rt a nr im p li ca li ons for patte rn s of glacier e ro sion, hydr o- chemis tr y a nd dynamics. INTRODUCTION meltll'aler films (W ee rtm an, 1957, 1 972 ), thr ough pe rm - ea ble sub gl ac ial se dime nt s (Bo ult on, 1 974; Clarke, 1 987 ) or \·ia netw ork s or either link ed cav iti es ove r bedr oc k (W a ld er, 19 86; Ka mb , 1987) or "ca nals" ab ove and within unc ons olidated se dim e nt s (Wa ld er a nd Fowler, 1 994). Th e ex istence of th ese diff erent dr a in age co nfi g- ur a ti ons h as b ee n es tab li shed e mpiri ca ll y on th e basis of pro glacial bed rock mappi ng (e.g. Walder a nd Hall et, 1 979 ; Sha rp a nd others, 1989), d ye -trace r s tudi es (e.g. Sea berg a nd others, 1988 ) , melt water hydro chemistry (e.g. Fo unt a in , 1 992 ) a nd ob se r va ti ons at th e glac ier bed (e.g. Ka mb a nd LaC hape ll e, 1964). \\'a rm-b ase d glaciers m ay dr ain s ub gl ac ially \'Ia a numb er of diff erent h ydra u li c co nfi g ur ations. Th ese m ay be cla ss ifi ed as either " di screte" or "d is tribu ted" . Th e former m ay be co mp osed of chann el s incised up ll'ards int o ice (R othlisberger. 1972; H oo ke and o th ers, 1 990 ) or do wn wa rd s into bedr oc k (j\: ye, 1 973 ). In each rase , cha nnel s li nk to f or m ef fi cie nt netll'orks w ith the cap ac ily to dr ain large amo unl S of meltll'ater ra pid ly. In co ntr ast, di s tribut ed systems dr a in ex tensi\'e ar eas of the glac ier bed a l lowe r (l ow rates. Such now m ay occur via 572

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Page 1: Borehole water-level variations and the structure of the ... · H a ut Glacier d ' Aroll a is a predominalllly wa rm-based vall ey glacier located at the head of Val d'H crens, Valais

Journal ofClaci%g)" \ '01. 4 1, Ko. 139, 1995

Borehole water-level variations and the structure of the subglacial hydrological systelll of Haut Glacier d' Arolla,

Valais, Switzerland

B. P. HUBBARD ,

Cfl/tre Jor C/aci%PJ" Institute oJ Eartiz Studies, Universify oJ II 'ales, A be1),Slll')' tit , D).'fed S )123 3DB . I Vales

M .] . SHARP,

De/Jartment oJ Ceogra/) /I) ', Univfrsil)' oJ Alberta, Edmollton, ALberta T6C 2H4, Callada

I. C. WILLI S, NI. K. NIELSE~ ,

De/Jartment oJ GeograjJ/o', L 'nil'ersil)' of Cambridge. Cambridge CB2 3t. .... \ ', England

C. C. S !VIART

DejJartment oJ Ceogra/)/~v. Cniuersi£l' oJ Il 'estem Ontario. London, Olltario ,1\ 6A 5C2, Canada

ABSTRACT. La te-summ er subglac ia l wa leI' pressures h ave been m easured in a dense a rray of boreholes in th e a bl ation a rea of H a ut Glacier d '!\roll a , Sw ilze rl a nd. Interpo la ted surfaces of minimum diurna l wa ter press ure a nd diurn a l wa ter-press ure \-a ri a lion suggesl lh e p resence of a subg lacia l cha nnel w ithin a more w id esp read . distri b ut ed drainage syste m. The cha nn el fl O\I's a long lh e centre of a l'ariable /Jressllre a,is (VPA ), some lens o f m e tres wid e, th a t is cha rac teri zed by low minimum diurnal wa ter press ures (frequent ly a tmospheri c) a nd high diurn a l wa ter-pressure va ri a ti ons. These cha rac teristics a rc transiti onal over a la tera l di sta nce o f' c. 70 m to hig her and more sta ble subglac ia l wa ter press ures in the adj acent distribu tcd sys tem . vV a ter­press u re va ria tions reco rd ed in bo reho les loca ted close to th e cen tre of th e VPA renec t the del i\ 'e r y of surface-d e ri\ 'ed meltwa ter to th e glac ier bed a nd res ult in a diurn a lly re\'C rsing, tra nsvC\'se hydra uli c gradi ent th a t dri \'es wa le r o ut from th e ch a nnel in to the di st r ibut ed sys tem during the a f'te rnoon a nd bac k to th e cha nn el ove rni ght . Subglac ia l o bse rn ltions sugges t tha t such fl o ll- occ urs through a ve rti ca lly co nfin ed scdim ent laye r . Boreho le turbidit y reco rds indica te th a t lh e res ulting diurn a l wa ter nOli's a rc res ponsible fo r th e mobili za ti o n a nd transport of fin e debris in suspension . Analys is of th e propaga ti o n \'e1 ocity a nd a mplitud e a ttenu a ti o n of th e diurna l pressure lI'a\'es sugges ts tha t th e h ydra uli c condu cti\'it y of the sedim ent layer d ec reases ex ponentia ll v wi th di sta nce from th e cha nnel. fa lling fro m c . 10 -I m s I a t th e cha nn el bound a ry lO c. 10 7 m s I 70 m away . Th ese a ppa;'e nt h ydra uli c conduc ti vities a rc consiSlent with Darcia n now through clea n sand and typical glacia l till , resp ec ti\·e ly.

\\'e sugges t th a t fin e m a terial is sys tem a lica ll y nushed fro m basa l sedim el1ls loca ted adj ace l1l to la rge, mell-season dra inage ch a nn els benea th wa rm-based g lacie rs. This process m av ha\'C im po rt a nr im pli ca li o ns for pa ttern s o f glac ier erosio n , hydro­chemistry a nd d ynamics .

INTRODUCTION meltll'a ler film s (W ee rtm a n, 1957, 1972), thro ug h perm­eable subglacia l sediments (Bo ulto n, 1974; C la rk e, 1987 ) or \·ia ne tworks or eith er linked cav iti es ove r bedrock (W a lder, 1986; K a mb, 1987) or "ca nals" a bove and within unconsolida ted sedime nts (Wa ld er a nd Fowler, 1994). The ex istence of th ese different dra inage co nfig­ura ti ons has been es ta bli shed e mpiri ca ll y on th e basis of proglac ia l bed rock ma ppi ng (e .g . Wa lder a nd Hall et, 1979; Sha rp a nd o thers, 1989), d ye-trace r studi es (e.g . Sea berg a nd o th ers, 1988) , meltwa ter hydrochemistry (e.g. Founta in , 1992) a nd o bse rva ti ons a t the g lac ier bed (e.g. Ka mb a nd LaCha pell e, 1964) .

\ \'a rm-b ased glacie rs m ay drain subg lacia ll y \ ' I a a number o f different hydra u li c co nfi gura ti o ns. Th ese may be cla ss ifi ed as either " di sc re te" or "d is tribu ted" . Th e form er m ay be composed o f cha nn els incised up ll'a rds into ice (R o thli sberger. 1972; H ooke and o th ers, 1990) or do wnward s into bedroc k (j\:ye, 1973 ) . In each rase , cha nnels li nk to form effi c ient netll'orks w ith the ca pac ily to dra in large a mounlS o f m e ltll'a ter ra pid ly . I n contras t, distributed sys tems dra in ex tensi\'e a reas o f th e glac ie r bed a l lower (low ra tes . S uch now m ay occ ur via

572

Page 2: Borehole water-level variations and the structure of the ... · H a ut Glacier d ' Aroll a is a predominalllly wa rm-based vall ey glacier located at the head of Val d'H crens, Valais

Hubbard and others: Subglacial h),drology DJ Hall! Glacier d': Jrol/a . Sl('i!::.erfalld

A full und ersta nd in g o f th e co-ex iste n ce of, a nd

inte raction be tween, th ese d i fTer en t subg lac ia l dra inage

sys tems ma y be criti cal to m od e ls of glacie r m o ti on, sin ce

each config ura ti on may be ch a rac terizl' ri h y a di stin cti\T

stead y-sta te re la ti onship b e tw ee n di sc ha rge a nd wa te r

press ure (e.g . R o thlisberge r , 1972; W a ld e r , 1986 ). The

sta bility of di stributed flow to cha nn el d eve lo pment has

th erefore bee n in ves tigated Jo r film s (e.g . W a ld er , 1982;

\\'ee rtm a n a nd Birchfield , 1983 ) , perm ea ble sedim ents ,e.g .

All ey, 1992 ) a nd linked ca\ iti es (K a mb, 1987 ) . K a mb ( 1987 )

a rg ued th a t certa in linked-ca \ ' ity geometries a rc inherenLl y

unsta ble to pe rturba tions in subglacia l wa te r press ure and

sugges ted th a t tra nsiti ons be twee n drainage v ia tunn els (a t

rel a tiyely low stead y-sta te w a te r press u res ) a nd link ed

cav it ies (a t rcl a ti\ 'ely hig h stead y-slate \I'a te r press ures)

m ay be res po nsibl e for th e initi at ion and te rminat ion o f"

g lac ier surges . Subglacia l dra in age systems ben ea th tempe­

ra te glaciers m ay th erefore d eve lo p o r co ll a pse in res ponse to

seasona l \ 'ari a ti ons in meltwa te r suppl y (e .g . H ock and

H ooke, 1993 ) . Whilst a w id espread distribut ed sys tem ca n

e\ 'ac uate base fl o\l's during th e \I' inter, th e onse t o f high and

vari able melt-season discha rges m ay des tabili ze suc h a sys tem

a nd replace it , a t leas t locall y, with chann eli zed drain age.

This repl ace m ent may occ ur a t g lac iers th a t a rc und erlain by

bedrock o r un consolid a ted secliments (e.g . Fo unta in , 1992,

1994). D ye-trace r studi es a t H a ut Gl acier d ' Aro ll a prO\' id e

strong empiri ca l support fo r this m od el. indi ca tin g, first , that

cha nneli zed dra in age de\'e lo ps as th e headward g rowth of

cha nn els repl aces di stributed now durin g th e m elt seaso n,

a nd secondl y, th a t th e bound a ry be tween th e t\ \"C) sys tems is

associa ted with the ret rea t o f th e sno\l' lin e a t th e glac ie r

surface (.\ii enow. 1994). An a lys is of subglacia l pi ezometri c

surfaces indi ca tes th a t such re pl ace ment is laterall y variable ,

with distributed dra in age sun'iv ing th e melt season in a reas

o f th e glac ie r bed se pa ra ting the cha nnels (Fo ullta in. 1994).

R edu ced surface melting during the ,,-inte r res ul ts in th e

creep clos ure o f melt-seaso n c h a nn els and th e rc-es ta blish­

m ent of a w id es pread distributed dra in age sys tem (paper in

prepa ra tion by r. C. Willis a nd o th ers).

Evid ence fro m wa rm-based g laciers th e re fo re indi ca tes

th a t th e sp a ti a l ex tent o f c h a nn e li zed a nd di s tributed

dra inage COli fi g ura ti ons \-a ri es seasona ll y a nd th a t th e t\l 'O

co-ex ist a t th e g lacier bed fo r much of th e melt seaso n ,

irres pecri\'e o f th e na ture o f th e substra te . H OWe\T r, little

is kn own a b o ut th e tra n siti o n be tween th ese dra inage

compo nents o r th e m a nn e r in w hi c h th ey inte rac t

h ydra uli ca lly . Boreho le ill\"('s ti ga ti ons p rov id e a m ealls

o f a ddressin g such iss ues, sin ce th ey a llow spa ti a ll y

di stin c t drain age compo n e nts to be accessed a nd studi ed

simulta neous ly . In thi s pa p e r , wc prese nt diurn a l reco rd s

o f subg laeia l w a te r pressure, el ec tri ca l conclu c ti\ 'iry (E C l

a nd turbidity record ed a t th e b ase of a d en se n ('l \l'o rk o f

b o reho les drilkd to th e b ed o f H a ut Gl ac ie r d 'Aro ll a.

S w itze rland. Spa ti a l va ri a tion s in th ese pro p e rti es' a rc

inte rpre ted in te rms of th e prese n ce of dif1e re nt subg lac ia l

dra inage co nfl g ura ti ons a nd th e n a ture o f th e h ydra uli c

linkages be twee n th em .

FIELD SITE AND METHODS

H a ut Glacie r d ' A roll a is a pred omin a llll y w a rm -based

va ll ey glacie r loca ted a t th e head of Va l d ' H c re n s, Va la is.

Swi tzerl a nd ( Fig . I ) . Th r g lac ie r ex tend s ri'om c. 2560 m

a .s.l. a t its sno ut to c. 3500 m a.s .l. a t its headwa ll a nd

covers an area of c . 6. 3 kn12 . J\ dense a rra \' or 24 bore holcs was d rill ed du r ing Jull' a nd Au g us t 1993 close to th e

easte rn ma rg in o f th e a blat ion a rea 0 [" the g lac ie r , a bo ut

1.5 km from th e te rminus (Fig . 2 ) . This site ,,-as ch ose n o n

th e bas is of reco n stru Cled subg lac ia l h ydra uli c po te nti a ls

th a t predi cted th e prese nce of a m a jo r m r lt-seaso n c h a nn e l

b e ll ea th this pa n o f th e g lac ie r (S h a rp a nd o th ers, 1993 ).

I ce-ma rg in a l a nd subg lacia l o bse n 'a tio lls ill\ 'a ri a bly reyea l

th a t th e g lac ie r is und erl a in by un co nso lid a ted sedime nts.

Th e recove ry of su c h sed im ent w ithin a nd on b o r e h o le

p ro bes furth e r .indi ea tes th a t su c h Cl substra te ex te nd s

b e nea th th e bo re h o le a rray. It is unlikel y th a t th e d e bri s

reco\ 'ered on th ese pro brs \\'as d e ri\ 'ed from the m el tin g o J"

d eb ris-ri ch basa l ice, since no thi c k basa l-ice layers h3\T

bee n o bse rved a t th e g lac ier (Hubba rd , 1992 ). fh a il a b lc

e \·id ence th ere fo re indica tes th a t Haut Gl ac ir r r1 ' Aroll a is

unde rl a in by unco n so lid a ted sed im e nts.

Bo reho les we re drill ed to th e g lac ie r bed using h o t

wa ter. The bed was cO llsid ered to h a \'e bc-e n reac h ed a nd

drilling "'as ha lted \I-hen no furth e r p rogress cou ld be m a d e

a t a d epth co nsis te nt ,,-ith radi o-ec h o so unding (S ha rp a nd

o th e rs, 1993 ) a nd th e d ept hs of n e ig hbo uri ng bo re h o les.

Bo reh o le d ept hs \ 'a ri ed rrom 23 m fo r bo reholr 38 . loca ted

c lose to the g lac ie r m a rgin. to 1+2 m fo r bo reh o le ~6 ,

loca ted tOIl'a rd s th e glac ier cent re lin e ( Fig . 2 ). Inclin o­

m e try o r 120 1" th ese bo reholcs indi ca ted a mca n ho ri zo nta l

dev ia ti on of 2.9 ± 0.7 m across th e g lac ie r (cast wes t ) a nd

4.6 ± 1.3 m pa ra ll e l to ice f1 o\l' (n o rth so uth . Th e Ill ea n

d ep th o f" t h ese b o r e h o les \las 87 m min . = 23 Ill :

milX. = 132 m; (J = -~ 1.5 m ' . C:o lllan \I'ith the b ed was

occasiona ll y m a rk ed by a ra pid r~tll in wa tcr le \ 'e l as

eCJuilibrium lI'as reac hed \I'ith the subg lac ia l wa te r press urc

a t the base o f th e bo rehole. Less im m ed ia te co nnec ti o ns

we re also reco rded , w ith ma ny bo re h o les co nnect ing durin g

th e ni gh t within sO l11 e d ays o f be in g d rill ed. Oll ee drill ed,

bo re ho lcs liT re iso la ted ri 'om suprag lac ia l wa ter inn o w iJl'

c h a nll e l c1i I'CTsio ll. H OIIT\'C r, min o r infI oII- thro ug h th e

wea th ered surface ice lal'e r co uld n o t be pre\·c n ted . " 'a te r

lc\T ls \lT re mo nitored in iti a ll y b \ ' ma nu a l so undin g a nd

subseq uentl y, in 12 of th e bo reho lcs . b y a ULO mated se n so rs

( Fig . 2 ). Th e se n so rs meas ured lI"a ter press ure, e lec tri ca l

cO llduc ti\·itv (EC ) a nd turbidit y \I ' ithill a reil' te n s o f'

ce n tim e tres o f th e g lac ier bed . The ir o utpu t was s to red o n

ll1i c ro logge rs Ca mpbell Sc icn tifl c C R- IO that reco rd ed

th e m ea ns of30 readings eve ry 10 min . \\'ater press ures <t nd

E Cs \IT re ca libra ted aga inst kn ow ll \'a lu es a nd a rC' a cc urate

to w ithin 0 .5 m o f w a te r heac! a nd 5 /iS cm I , res p ec ti\T ly.

ECs a rc prese nt ed as meas ured ill \I 'a te r a t c. 0 C.

Bore holr turbidiLi es lIT re m eas ured b\· li g ht-se n s iti \T

a nd li g ht-emitting di od es th a t \I 'e r e se pa ra ted b y th e

sampl e. The difTi c ulti es ill\'o k ecl in c alibra ti ng turbidit \·­

se n so r reco rd s in te rm s o r suspend ed-secliment co n centra t­

io n s a rc we ll-d oc um e nted (c .g . G i ppe l. 1988; Ston e a nd

o th e rs, 1993 . Th ese da ta a re th e refore prese llled a nd

inte rp re ted pred o mina lllh- in te rms o f " re la ti \T turbid ­

ity" (Tll[ t ]) , d efin ed as

TU [T] = (Tu[c] - T u[s]) TlL[c]

(1)

wh e re Tu[c] a nd Tu[.s] a re th e t u rbidit \· signa ls record ed

in clea r wa ter a nd th e sa m p le. res p ec ti ve ly. C lea r \I-a ter.

573

Page 3: Borehole water-level variations and the structure of the ... · H a ut Glacier d ' Aroll a is a predominalllly wa rm-based vall ey glacier located at the head of Val d'H crens, Valais

Journal if Glaciology

93000

92000

91000

90000

89000

Mont Colion 3637 ...

L' Evequc 37 16 ...

1 km

6OS000 606000 607000

Bouquctins 3838 ...

608000

Fig . I. H aut Glacier d'Arolla. T he bore/zole array is located on th.e eastern side of tlte glacier tongue c. 1500mJrom the terminus.

lherefore , has a rela tive lUrbidity of 0 and opaque water a rela ti ve turbidity of I . However, turbidity sensors were a lso calibrated against suspend ed-sediment concentra tion (SSC) using th e fin e fract ion « 125p,m) of flu viall y deposited sediments sampled from the proglacial a rea o[ H a ut Gl acie r d ' Aroll a . Th ese ca libra tions d efi ne a relationshi p of the form

SSC = 28.4(Tu[r]) (R = 1.00) (2)

where SSC is in g I- I (Fig. 3) . D espi te the good fi t of these data, the innu ence of variatio ns in sediment gr a in-size and lithology remains unco nstra ined . Calibra ted SSCs are therefore used onl y as a n a pproximale indi ca tion of

100

54 53 52 E 0

Cl 50 46

c: 0 X :c 43 45 44 t: 0 z

0

-50 0 50 100

ac tual concentratio ns. The da ta presented in this paper were recorded during

a 7 d period of sta ble meteorological a nd hydrological conditions from 16 to 22 August 1993 U uli an Day UD] 228- 234). This ti me period was long enough to excl ud e d aily meteo rological variability a nd short enough to

exclud e seasonal trends in the hydra uli c development of th e subglac ia l drainage system. The lat ter of these forms the subject of another paper (paper in prepara tion by I. C . Willi s and oth ers) . The data presented in this paper, a nd the in terpretations based on th em, a re therefore consid ered to represent typical, late melt-season cond­itions a t Haut G lacier d 'Aroll a .

Approximate centre of VPA

51 39 37 : 28 34 33 • , 0 . 0

X X ' . 27 32 X ,X 0 038 42 40 29 135

I . ;6 : 0 41 30 31

150 200 250 300

Easting (m)

574

Fig. 2. The 1993 borelzole array. Borelzoles indicated b)' dots were monitored automatically and those indicated b)' circles were monitored manually (every J-3/z during daylight ) . OJwntitative ana01sis presented ill the text is based on data recorded in borelzoles 35, 29, 40, 42 and 43 (crosses) .

Page 4: Borehole water-level variations and the structure of the ... · H a ut Glacier d ' Aroll a is a predominalllly wa rm-based vall ey glacier located at the head of Val d'H crens, Valais

Hubbard and others: Subglacial /~)ld1"Ology oJ Hall l Glacier d' Arolla , Switzerland

0.4

';:' • ~ 0.3 SSC = 28.40 x Tu(r) C (R= 1.00) C :a :e 0.2

~ • " > 0.1 .'" '" 0;

r:<:

0 I 0 2 4 6 8 10

SSC (g rl)

Fig . 3. T urbidi!)' calibration curve JOT borehole sensors lIsed dUTing the 1993 lield season . Sedimellts were recovered ji-om flu vial de/Josits in the jmglacial a rea of the glacier and were sieved 10 remove /JarlicLes coarser thall 125 1D11 prior to calibration .

DIURNAL SUBGLACIAL WATER.PRESSURE VARIATIONS

Minimum d a il y borehole wa ter leve ls a nd d a il y borehole wa ter-level ra nges have been interpo la ted spa ti a ll y ac ross the full bo rehole a rray (U NIRAS, 1990 ) . The res ulting surfaces fo rJO 229 d emonstra te that mu c h of thi s a rea o f" th e g lac ie r is cha rac te ri zed by subg lae ia l wa ter pressures tha t a rc hig h (approac hing ove rburd en press ure; Fig . 4a) a nd di u rn a lly cons ta n t (Fig . 4b). H o wever , the surfaces a rc elea rl y bisec ted by a n ax is, grea ter th a n 100 m wid e

bl

a nd a li g ned sub-para ll el to th e ge nera l direc ti on of ice fl ow, th a t is cha racte ri zed by low minimum wa ter pressures a nd la rge press ure vari a ti ons. Th e centre of thi s "va riabl e press ure ax is" (VPA ) passes thro ugh the bore hole a rray a t an easting o f e. 185 m; close to borehole 36 in th e sou th ern tra nsec t, be twee n boreho les 35 a nd 29 in the middl e tra nsect a nd be tween borehol es 3 7 a nd 28 in th e northern transect (Fig . 2) .

Subglac ia l water press ures h a \'e a lso bee n inves tiga ted using tim e seri es of wa ter levels record ed in bo reholes 35 , 29, 40, 42 a nd 43 in th e midd le tra nsec t (Fig . 5 ) . Th ese reco rds confirm a progressi\'e d ro p in minimum wa ter le\'el a nd a n increase in diurn a l water-l e\'e! ra nge towa rds th e centre o f th e VPA. W a ter levels in the two bo reholes loca ted closes t to the centre o f the VPA (bo reho les 35 a nd 29 ) rise to w ithin 10 m of th e ice surface du ring th e day a nd fa ll to th e g lacier bed fo r so me hours ove rni g ht. These temporal va ri a ti ons ta ke th e ge nera l fo rm of quas i­sinuso id a l cycles, with a waveleng th of I d a nd a ph ase rela ti onship th a t lags c.2 h behind glac ier-surface a ir tempera ture . C lose r inspec ti o n o f the form of th ese cyc les re\'ea ls a sys tema tic asymme try, with steep ri sing and a trenua ted fa lling limbs.

Interpre tat ion

The wa ter-pressure cha rac teri sti cs a nd ori enta ti o n of the VPA a re consistent with th e locati on of a hydra uli ca ll y efIi ciel1l subg lac ial cha nnel a t its centre. I n contras t,

I

I - - 100 _ _

I ---~ ~ I

I

I

100

- - SO _ _

- 100 c: 0 _

:;:: c: .. ., .- "0 ro :s >.0

50 a; :;; > > .,0

..J

:;; 0 50 ... ...

0 ;:: -

100

§

Easting (m) 200

Fig . 4. Inler/Jolated subglacial waler-jJressure slI1/acesJor IheJII LL borehole arrayJor JD 229, 1993: ( a) minimum waler LeveL ( m a.s .L.); ( b) waler-jJressure variaLioll (percentage oJ overburden ) .

575

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J ournal oJ Claciology

wa ter pressures adj acent to th e VPA a re uniform a nd high-stand ing, indica ting the presence of a widespread and less effi cient dra inage system. The pa raboli c cross­sec tiona l form of th e VPA indica tes th a t the two sys tems interac t hydraulica ll y and a re possibl y transitiona l, ove r tens of metres .

T he na lLlre of thi s hydra uli c i11lerac ti on may be in ves tiga ted on the basis of diurn a l wa ter-l evel vari a ti ons reco rd ed ac ross the middle bore hole transec t (Fig. 5 ) . \Va te r levels (in m a .s.l. ) in bo reholes 35 and 29, loca ted close to th e cen tre of th e VPA, ri se a bove and fa ll below those in boreholes 40, 42 and 43 each d ay. A diurna lly reve rsing h yd ra ulic g rad ien t therefore ex ists betwee n the cha nnel and th e surro unding glacier bed. R econstructi ons of the direc ti on a nd magnitude of this g radi e11l be tween adjacent boreholes loca ted to the west of the chann el (Fig . 6) indica te that wa ter is dri ven la tera ll y out from th e cha nnel in the early a ft ernoon a nd back to it ove rnight . Th e magnitud e of th e hydra uli c gradi ent a lso dimini shes with di stance from the cha nnel, as wo uld the velocity of th e consequ ent wa ter Oows und er a uniform basa l h ydra ulic configuration. Th e rela tively minor diurn a l wa ter-p ress ure \'a ri a ti ons reco rded in boreholes 42 a nd 43 sugges t th a t th e inOuence of these channel-initia ted wa ter Oows d ecays rapidl y over some tens of metres . No wa ter­level vari a ti ons we re a pparent in bo reholes 44, 45 o r 46, each of which was monitored manua ll y several tim es a d ay . E ven though th ese boreholes reached th e glacier bed , wa te r levels in th em remain ed hig h a nd consta nt. Al tho ugh such bore holes a re "co nn ected " to th e subg lacial hydrological sys tem, the loca l ca pacity of th a t sys tem may be in ad eq ua te to tra nsmit wa ter away from th eir bases ra pidly enough to dra in surface meltwa ter in p uts. \ \fa ter le\'els in such boreholes may not, therefore, reOec t acc ura tely th e magnitud e on ocal subglaeia l wa ter­press ure \·ari a tions. Such boreholes m ay fill with wa ter d u ri ng drilli ng and never su bseq uen tI y drain to their eq uilibrium levels .

Th e asymm etric form of the borehole wa ter- p ress ure tim e-series records (Fig. 5) may also reOec t th e na ture of these la tera l subglacia l wa ter Oows. Alley (in press) a rg ues th a t asymm etry a ri ses in such sys tem s because va ria tions

2780

---:-en 2760 cri

.S-a; 2740 > Q) --l

Cii (ii

~ 2720 Q)

(5 .c e? 0 2700 '. CD

2680

in effective pressure res ul t in fl ow pa ths opening up first and clos ing down first a t the channel bo und a ry. Thus, according to Alley, cavities at the ice- bed rock interface progressively open up as water is dri ve n a way from tllf' channel b ut have alread y closed down a t the channel (due to fa lling channel pressures) as the wa ter dra ins back to il. R eturn dra in age is t hereby impeded relative to out­Oow from th e cha nnel. Altho ugh Alley envisages such a process in te rms of wa te r Oow through a film- cavity sys tem over bedrock, our d a ta suggest tha t simila r cycles occur a t H aut Glacier d 'Aro ll a, which is und erlain by unconsolid a ted sed iments. Asymmetry in la tera l wa ter Oows benea th such soft-bedd ed glaciers m ay refl ect th e effec ts of va riable cha nnel -m a rgina l effec ti ve press ures on sedim ent conso lid a ti on ra th er th an (or as well as) th e capacity of fl ow pathways a t the ice- substrate interface.

The signifi cance of the di u rnal, transverse wa ter flu xes a t H a UL G lacier d 'Arolla m ay be in ves tiga ted on th e basis of subglacia l water-qua lity reco rds across the middl e borehole a rra y (Fig. 7) . Time seri es of basal EC record ed in boreholes 29, 40 and 42 have been compa red with th e hydra uli c g radient between boreholes 29 a nd 40 for JD 229 a nd 230 (Fig. 7a) . BOt-ehole 29 is cha rac teri zed by a slrong diurna l EC cycle, rising gradua ll y to c. 20 MS cm I overnight a nd falling rapidly to c. 2 MS cm- I in the la te mo rning . This pulse of so lute-poor wate r represents the new d ay's melt wave a rri ving (fro m th e channel) a t borehole 29 as the hydra uli c g radient is es ta blished from this bo rehole towards borehole 40 (Fig. 7a) . Th e low EC of thi s wa ter indicates, first, tha t the cha nnel transports locall y d e ri ved , surface meltwa ter a t thi s tim e and , secondl y, th a t li ttle solute has been acquired during Oow fro m th e channel to borehole 29 . In contras t, th e high-E C signal reco rded Q\'ernight in borehole 29 coincides with wa ters Oowing back to th e chann el und er th e reversed hydra uli c gradient. Th ese wa ters have acquired solu te within the di stributed dra in age system. ECs at the base of borehole 40 are genera ll y hig her (15 20 MS cm I) and less variable th a n those a t th e base of borehole 29, sugges ting less subg lacia l hydrological mi xi ng and longer water- rock contact limes benea th th e former. However , a distinct fa ll in EC is recorded a t the base of borehole 40 during rh e

229 229.5 230

Julian Day

230.5 231

Fig. 5. Water-level time series recorded in boreholes across the middle transect on JD 229 and 2301993.

576

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H ubbard and olhers : Sllhglaria/ hydrology oJ Haul GLacier d'Arol/a, Swil<.eriand

a ) Water flow direction:

4 BH 29 -> 40

2

0

-2 BH 40 -> 29

-4

229 .0 229 .5 230 .0 230 .5 23 1.0

";-

E b) ..... Q) ...... C'O 4 :<!:

E BH 40 -> 42

--- 2

...... C Q) 0

'6 C'O .....

<9 -2

.~ BH 42 -> 40

::::l C'O -4 ..... '0 2 29 .0 22 9 .5 230 .0 230.5 23 1.0 >-I

c)

4

BH 42 -> 43

o .. . ...... ..

-2 BH 43-> 42

-4

2 29 .0 22 9 .5 230.0 230 .5 231 .0

Julian Day

Fig . 6. Hydraulir gradients, ca/cuLaled ~)' linear iule/jJo/alioll, hellceen hore/lOLe jJairs across Ihe lIIiddLe Iransect Oil JD 229 alld 230 1993: (a) borellOle 29 10 borehoLe 40 , ( b) bore/toLe 40 to bore/lOle 42 and ( c) borehoLe 42 10 boreho/e 43. ( CaLcuLations are based on borehole separation as slIrve}ed al the gLacier slI/face. i ndinomell), suggests Ihal Ihese distallas may be ± c. 20% oJ bore/wle se/Jaralioll al l/ie gLacier bed. The magnitude oJ the reco llslrllcled /IJ1dralllic gradiell ls may Iherefore aLso be ± f. 20% ) .

a ft ern oon. If we ass ume that thi s event refl ec ts th e a rri va l of th e same lo w-EC pulse th a t is record ed in bo reho le 29, th en the a pp rox ima te \'c!oc ity of th a t pulse m ay be ca lcul a ted fro m th e time it ta kes to pass be twee n th e two bo reholes : 0. 24 d (2.1 x 10" s) o n JD 229. Th e twO boreholcs a re c. 16 m a part, i nd ica tin g a m ea n fl ow ve loc it y be tween th em of c. 67m d 1 (8 x 10 " m s I) . No such prono u need EC \'a ri a ti o ns we re reco rd ed in ei ther bo rehole 42 o r borehole 43.

Borehole turbidity time se r ies provide furth er e\·id­ence for diurn a l subglacia l wa te r fl ows ac ross th e VPA. R e\'C rsals in th e hydra uli c g ra d ient betwee n bo reho les 29 a nd 40 a re co incid ent with turb idity pulses in both bo reholes (Fig. 7b), indi ca tin g th a t the diurn a l wa ter fl ows a re responsible fo r m o bili z ing fin e sedim ents. H oweve r, th e two turbidity cyc les a re Out o f ph ase a nd

pea k turbiditi es in bo rehole 29 a re a n o rd er of magnitud e hi g he r tha n in bo re hole 40. These diffe rences m ay be inte rpre ted in te rms of the so urce a reas and rela ti ve a m o unts of sedim ent iJl\·o h-ecl . During th e ea rl y a fte r­noon, when th e h ydra uli c gradi ent dri\'es wa ter a w ay fro m th e cha nnel, clea r wa ter is reco rd ed a t th e base o f' bo reho le 29 (T U[T] < 0 .00 I ) a nd a (rela ti vel y) tu rbid pul se is r eco rd e d a t th e b ase o f' bo re h o le 40 (TU[T] > 0.002 ). In contras t, whe n lh e reve rsed hydra ul­ic g ra di ent dri \'es wa ter back to th e c ha nnel Q\'e rni g ht , a pro minent turbidity pea k is reco rd ed in bo reho le 29 (TU [T] = c. 0.07 ) a nd ve ry low turbiditi es a rc record ed in bo re ho le 40 (TU[T] = c. 0.0005 ) . Th ese pa ttern s sugges t, firs t, th a t the ra te o f wa ter fl ail' dimini 'hes away fro m th e c ha nn el such th a t, b y borehole 40 , o nl y rel a ti vely low suspe nd ed-sedim ent concentra ti o ns a rc reco rd ed , a nd

577

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Journal oJ Claciology

40 a)

30

20

10

... ,_ ...... BH 42

. BH 40 ,

:: BH 29 i ~

Water flow from 29 to 40

Water flow from 40 to 29

4

4-----~~~~--,-----~~~~--._------~------+-3 ~

230 231 232

Ju iian Day

0.08 b) 4

~ ~

3 .. ... BH 29 J: ~

" 0_06 29 to 40 '<

t 2 ~ ."

~ ~

:0 co'

:e Q 0.04 ."

" 0-

f-< 0 (S.

Ol :=. :> 3' .~

-1 ~ ;; 0.02 ." ~ g

40 to 29 -2 3

~

0 . ... BH 40

-3

229 230 231 232

Jui ian Day

Fig. 7. ComjJarisons oJ the hydraulic gradient ( heavy lines) calculated between boreholes 29 and 40 with (a) ECs recorded ill boreholes 29, 40 and 42 and (b ) relative turbidities recorded in bore/wles 29 and 40 Oil J D 229 and 230 1993.

secondl y, that waters returning to the cha nnel a re more turbid th a n those leaving it. Substitu tion o[ these data into Equation (2) suggests that, a t borehole 29, waters leaving the cha nnel in the m orning have a SSC of <0 .1 g l I, wh ile those returning to it overnight have a SSC c. I- lOg I I . A net tran '[e r of fin e debris towards the channel is therefore inferred, wi th peak transfer ra tes occurring during the descen ding limb of the diurn al fl ow cycle. Overn ig ht bulk meltwa ter suspended sed iment yields may th erefore compri se d ebris supplied prin cipall y by latera l water fluxes returning to subglacia l channels. The na ture o[ this erosion d epends largely on th e precise hydra uli c confi g uration o[ the distributed sys tem flow pa thways. In the absence o[ evid ence to the contra ry, we adopt the worki ng hypoth esis that th is occurs as po re­water flow through the subglacial sediment laye r. The permeab ility o[ such a layer may be inves tiga ted quantitatively on the bas is of th e speed a nd a mplitude of water-pressure waves as th ey propagate through it.

THE HYDRAULIC DIFFUSIVITY OF THE SUB­GLACIAL SEDIMENT LAYER

Borehole data from Haut G lacier d ' Aro ll a indicate that diurna l pressure waves a re initiated a t th e centre of the

578

VPA and migrate la tera lly throug h the surrounding di stributed sys tem. Stand ard heat-fl ow theory (Ingerso ll a nd o thers, 1954; Carslaw and J aeger, 1959) provides a na lytical solutions th at rela te the propaga ti on ve locity (Fo untain, 1994) a nd the amplitude attenuation of these pressure waves to th e hydra ulic conductivity of the sedimen ts thro ugh which they mig ra te. According to thi s a na lysis, the dri ving press ure is treated as a boundary condition that varies as a harmon ic fun cti on of tim e a nd th e g lacier bed is treated as a unifo rm half-solid with a steady water press ure a t infinity.

Pressure-wave propagation velocity

Th e propagation velocity ofa subg lacial pressure cha nge m ay be rela ted to the frequency of the initi a ting press ure flu c tua tion and the hydraulic conduc tivity and specifi c storage of the sedim ents through which the wave passes . The tim e t it takes [or a press ure inflection to arri ve at a point of distance x from the cha nnel is given by

fBs t=xV2:;K (3)

where Ss is specific sto rage of th e sediments (defin ed as th e vol ume of water released from sa tu ra ted storage by a

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Hubbal'd and others: Subglaciallzydrology oJ Haut Glacier d'Al'olla, Switzerland

unit vo lum e of material und e r a unit d eeline of h ydra uli c

head ; m I ) ; w is the a ngu la r frequ ency of th e periodi c

boundary conditi on (27r /t = 7.27 x 10 5 S 1 for a diurn a l

cyc le) and K is th e h ydra ulic co nducti v it y of th e

sedim ents (m s I). Since both K and Ss are related to

th e mate rial properti es of the sediments, 'vve base our

a na lysis on the ra tio parameter hydraulic diffusivity (D ) d efined as

(Freeze a nd Cherry, 197 9, p. 61; m 2 Si ) . Soh'ing

Equation (3 ) for D gives

x2

D = (2wt2) . (5)

Equation (5 ) can be solved in one dim ension across th e

middle bo re hol e transect usin g the reco rd ed press ure-wave

ar ri va l times at boreho les 35, 29 , 40, 42 a nd 43 . For th e

purpose of th ese calcu lations, we assume that borehole 35

ma rks th e westwa rd margin of the cha nnel. \ Ve th erefore

take distance x = 0 a t boreho le 35 and t = 0 as the time a t

which th e direction of press ure cha nge reve rses in this

boreho le. Plotting th e mean time of a rrival of diurnal

press ure infl ec tio ns (maxim a a nd minima) a long this

transect for the 7 d period , JD 228- 234, revea ls a quasi­

ex ponenti a ll y increasing d elay in arriva l tim e away from

th e cha nn el (Fig . 8a ) . The diurna l pressu re wave th erefore

propagates a t a progressively lower veloc ity as it migrates

away from th e channe l. These press ure-wave ve loc iti es ma y

be compared with tha t predic ted und er th e assumption ofa

co nsta nt hydrau li c diffusivity fo r th e sediments und erl yin g

th e VPA (F ig. 8b). Substituting a typica l va lue of D for

subglacia l sedim ents (3.4 x 10 1 m 2 s I; ~'1urray and C la rke,

1995; T a b le I) in to Equati o n (5) yield s a propaga tio n

ve locity (x/t ) of c. 7 x 10 4 m s 1 (Fig. 8b) . This ve locity

contrasts marked ly with th ose recorded ac ross the V PA:

m eas ured press ure-wave ve loc iti es are , first , m a rkedl y hig her than 7 x 10 4 m s I, sugges tin g that subglacia l

Table 1. Reported values qf hydraulic conductivity and sjJeCijic storage Jor I)ljJical S71bglacial sedimenls

Hydraulic (onductivil)' 1 m s

1.1 x 10 6 to

2.2x 10 ti

10 4 to 10 7

10 6 to 10 12

2.2x 10 8

10 8 10 10 9

2 X 10-9

1.3 x 10

SjJecijic storage Source 1 m

Bou lton a nd D ent

( 1974)

Fo unta in ( 1994)

10 4 to 10 7 Freeze and C herry

( 1979 )

6 .4x 10 6 Murray and C la rk c

(in press )

W adding to n ( 1993 )

Enge lh a rdt and

othe rs ( 1990 )

I\'e rso n a nd others

( 1994 )

sedim ents beneath th e VPA a re c h a rac teri zed b y a hi g her

h ydra uli c diffusivity th a n typica l g lac ia l tills, a nd seco ndl v,

d ecrease away from the cha nn e l, ugges ting a n assoc ia ted

d ec rease in th e h yd ra uli c diffu sivi ty of th c subg la cia l

sedim ent layer. Fitting a curve to th ese d a ta indica tes

that th e hydra uli c diffusivity (D ) of the layer d ec reases

ex ponenti a ll ), with di sta nce (x; in m ) accord ing to

D = 43.5c(-0091.1") (R = 0.99 ) (6)

(Fig. 8c ). So lv ing Equa tion (6 ) for D at th e c h a nnel

m a rgin (x = 0 ) and at th e "ed ge" of the VPA (x = 70) ,

yie lds h ydrauli c diffusi, ·iti e. of 4 x 10 1 m2 s I a nd 7 x 10 2

m 2 Si , respectivel y . The ra nge of hydrauli c conductiviti es

a ssoc ia ted with th ese diffusiviti es m ay be approximated b y

su bsti tu ting a ty pi cal val ue of Ss fo r su bg lac ia l sed i ments (6 .4x 10 Gm I; Murray a nd Clarke, 1995; T a ble I ) in to

Equation (4 ) . The resu lting h ydrau li c conductiv it ies arc

3 x 10 4 m s 1 fo r sediments loca ted close to th e channel a nd

5 x 10 7 m s 1 for sediments located c . 70 m away (b earing

in m ind th at th e ass umpti on of constant S, may red uce th e

accuracy of th e a nal ys is by a n ord e r of magnitude (freeze

and Cherry, 1979, p. 55)) . Whils t the la tter value is ty pi cal

of D a rcia n Oow throug h subglac ia l till (Tabl e I ), th e

former is more t ypical of" now th rough clean sand (Freeze

and Cherry, 1979, p . 29 ) .

Anal ysis 0(" th e propagation " e locity of th e diurna l

press ure wave at H a ut G lac ier d ' Aro ll a th ere fore

indica tes that th e h ydra uli c d iffu s iv it y of th e subg lacial

sedim ent la ye r inc reases markedly towards th e centre o f

the V PA. This is co nsisten t w i th th e progress i'T re mm'a l

of fines from s ll c h a laye r by diurna l water nows th a t a rc

initi ated a t, and re turn to, a subglac ia l channel locatecl at

th e centre of th e VPA.

Pressure-wave axnplitude

Th t' hydrau li c diffusi,'ity (D ) of th e subglacia l sedim e nt

layer ma y a lso be es tim a ted fr o m th c a mplitud e

attenuati on of th e diurnal pressure '~ ' a "e as it propaga tes

across lht' VPA. followin g C a rs la w a nd J aege r ( 1959) ,

th e d ecay 0 (" w ave a mplitude (a) wit h di stance (x ) from

th e cha nnel is g iven b y

a( x) (-2J' IW.) --=e V w a(O) .

(7)

This rela ti o n m ay be used to predict th e a mplitud e

attenuation of diurnal press ure waves as they mi g ra te

ac ross th e midd le borehole tra nsec t (boreholes 35, 29, 40,

42 and 43 ) und e r two assumptions; firs t, that th e h ydrau li c

diffu sivit y of th e und e rl y in g sed iments is unifo rm

(D = 3.4 x 10 3 m 2 s I ) and, secondl y, that the h ydrau li c

d iffu si"ity of th e unde rl ying sedim ents d ec reases away from

the cha nn el in acco rdan ce with th e propaga tion veloc ity of

the diurna l pressure wavc. Under th e second scenario , a(O) is red efin ed a t each bo rehole acco rding to th e reco rd ed

amplitude and D c hanges continuously across the VPA

accord ing to Eq ua ti on (6). Pred ic ted a mpli tud e-atten ua ­

ti o n pa tterns und e r th e two sce narios a re compared with

those reco rd ed across th e tra nsec t o nJD 234 (Fig . 9 ) . None

of th e waler leve ls fell below th e se nso rs on thi s day,

providing reco rd s of th e fu ll magn itud e of th e pressure-

579

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JournaL oJ CLaciology

25000

20000

15000

10000

5000

o

a ) 43

Borehole :

42 40 29 35 (channel)

-5000 ~---'---'---'----'---'---'----'---'---'----'

0. 1

0.01 § ":"00

.~ .s g> 0.00 1 0. e

a..

100

b)

120 140 160 180 200

Predicted Velocity

0.000 I ~---'---'-----'----"T----r-----r----'----'----'------'

100 120 140 160 180 200

c)

lOO

-10

--

0.1 1----.----,-----.---,----.----,----.---,----.----,

100 120 140 160 180 200

Easting (m)

Fig. 8. Analysis oJ Ihe projJagation velocil)l oJ the diurnal pressure wave across the middle borellOle transect ( boreholes 35, 29, 40, 42 and 43) Jor ] D 228- 234 1993: ( a) lime delay to arrival oJ pressure-wave inflectiolls Jollowing initiatioll at borehole 35 (error bars = 1 (j ) ; ( b) associated propagatioll velocity ( the velocil)l jJredicted Jor tyjJical subglacial tills (ex/)lained in texl ) is slwwnJor comparison) ; ( c) calculated variation in hydraulic diffilSivifJl ( D ) .

wave cycles in a ll boreholes . The assumption of homo­geneo us subglacia l sed iments yields amplitudes that are similar to those recorded in bo reholes 40- 43, but which decay too ra pidly close to the centre of the VPA (Fig. 9a). This comparison therefore indi cates th a t the h yd ra ulic diffusivity of th e subglacia l sed iment layer between the ch a nnel and borehole 40 is hig her than that o f typical subglacia l sediments. Ind eed , with th e exce ption of borehole 42, recorded pressure-wa\·e amplitud es corre­spond much better with those predicted on the bas is of an exponenti a l dec rease in diffusivity away from th e channel (Fig. 9b). H owever, a much sma ll er amplitud e is reco rded in borehole 42 than is predi cted. The hyd rological system benea th this borehole may be un a ble to transport th e wa ter flu x that is required to reflect accura tely the magnitud e of

580

th e subglacia l pressure wave. This a nomalous behaviour sugges ts th at th e ana lysis of pressure-wave amplitudes (th a t is, based on wate r levels in open boreholes) may be suscepti ble to local vari a tions in th e capaci ty of the subglacia l hydrologica l system. In co ntras t, the analysis of pressure-wave velocities (based on the timing of a pressure change) is less sensiti ve to such va ri a ti ons since wave propagation does not require signifi cant wa ter tra nsfer. This in terpretation is supported by the consis­tency of the timing of the pressure vari a tion recorded in borehol e 42 with a rri val times in boreholes 40 and 43 th a t a re adj ace nt to it (a bO\·e) .

An a lysis of bo th pressure-wave velocities and pressure­wave amplitudes a t H a ut Glacier d 'Aroll a sugges t a system atic increase in h ydraulic diffusivity (to leve ls

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H ubbard and others: Subglaeial hydrology of Haul Glacier d' AraLIa, Switzerland

signifi ca ntl y above those of typical subglacial sediments) close to the centre of the VPA . This increase is interpreted in terms of a coarsening of the su bg lacial sedime n t laye r. Thi s inference m ay be assessed by co mpa ring th e hydra uli c condu c ti vity of a ch a nnel-m argina l subglacial sediment sample (recovered from a basa l cm'ity a t H a ut G lacier d 'Arolla; Fig . 10) with th a t determined on th e basis of the press ure-wave a nal yses . Th e h ydrauli c co nd ueti v i t y (K in m Si ) o f th is sa m pI e m ay be ap proxim a ted from its effec ti ve grain-size (the diameter a t wh ich 10% by weight of the pa rticl es a re fin er than rl lO in mm ) according to

J( = (ad 102

)

100 (8)

where A is a coe ffi cient with a value of c. 1 (m I s I )

(Freeze a nd Ch e rry, 1979, p. 350). Th e effective g rain­size (rl lO ) of th e sample is c . 0 .3 mm, indi ca ting (from Equa ti on (8)) a h ydra uli c cond uctivity of c. 9 x I 0 ~ m s 1

Thi s h yd ra uli c co nd ucti vi t y is consisten t wi th th at d etermined for cha nn el-m a rg in a l sediments on the basis of the diurna l pressure-wave propaga tion veloc ity a nd a mplitud e a lle nu a tion (3 x 10 4 m s I; a bove) .

SUMMARY AND DISCUSSION

Diurna l water-l eve l va ri a ti o ns in boreho lcs 111 th e a bla ti on a rea of H a ut Glac ier d 'Aro ll a indica te the la te

a ) 100

80

60

40

20

0

100

b)

100

80

60

40

20

100

43 42

Actual amplitude

120

Predicted amplitude (variable sediments)

120

140

140

melt-season presen ce o f a va ria bl e pressure axis (VP A ) th a t is a ligned broadly pa rall el to th e direction of ice fl ow . This axis is characte ri zed by a g rad ua l rise from low minimum diurna l water press ures and high diurn a l water-press ure variati o ns at its centre to hi gh minimum di urn a l water press ures a nd low di urna l wa ter-press u re va ri a ti ons at its m a rg ins, a bout 70 m away. Th ese patte rns indica te the presence o f a m ajor subg lac ia l ch a nne l (located at th e celllre o f the \'PA) that is bounded by, a nd interac ts with , a n extensive "d is­tributed " hydro logical sys tem. R eco nstructed subg lac ia l h ydrau li c gradi ents suggest that this interac ti on is drive n by la rge diurn a l water-press ure \ 'a riations within the ch a nnel: high pressures in the d ay fo rce water out from the c ha nnel, a nd into the adj ace nt distributed system , and low chan nel pressures o\'ernight dri ve that water back. Ana lyses of the ve loc ity a nd a mplitud e a ttenu a ti o n of th e associated diurn a l pressure waves indi ca te th a t the hyd ra uli c cfTic iency of the distributed sys tem inc reases m arkedl y close to the c ha nnel. In th e foregoing a na lys is, we h ave pos tul a ted th a t th ese fl ows occur by perm eating the subglac ia l sedim ent laye r that underli es the VPA . VVhilst such noli's mu st occ ur where a h ydra ulic gradi ent acts on sa turated, permeable sedim ents, the appa ren t incr ease in hydra uli c diffusivity close to the cha nnel m ay a lso be interpreted in terms of now co ncentra ti on a t the ice- sed iment illlerface. Such conce ntration may ta ke three forms: first, as film now a t the ice- till inte rface (W eertm an and Birc hfi eld , 1983 ) , second ly, as pore­water now throug h coarse r, a nd therefore 111 0 re

Borehole :

40 29

160

Actual amplitude

160

35 (channel)

Predicted amplitude (uniform sediments)

180 200

180 200

Easting (m)

Fig. 9. ComjJarison of the amjJlitude allenllation of the diurnal /JrfSSllre wave recorded acrOJS Ihe middle bore/tofe lrallS'eet (boreholes 35, 29, 40, 42 and 43) on JD 234 with that /mdieted for sllbglacial sediments with (a) a llniform hy draulic dijJusivit)l (3.4 x 10 .1 11/ s /) and (b) a hy draulic diffusivity that decreases with distance from the channel ( according to Equatio11 (6); see lexl).

58 1

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J ournal of Glaciolog)'

hydra ulicall y tra nsmissive, cl a sts at the uppe l- surface of th e subglac ia l sediment laye r (Fountain , 1994) , and thirdl y, as fl ow through a n e twork of sm a ll cha nnels loca ted a t th e ice- sedime n tin terface (' '\' a ld er and Fowler, 1994) . Although a n y of these config ura tions may ex ist be nea th the VPA a t H a ut Glacier d 'Aro lla, no independ ent evidence is currentl y avail a bl e to sugges t tha t thi s is th e case. In contrast, the co rrespondence of th e hydra uli c co ndu cti\' i ty of a cha nn e l-m a rgin a l subglac ia l sedim ent sample with th a t de te rmined from the pressure-wave analyses suggests th a t th e inferred hydra uli c diffusivities may b e accoUl1led for by pore­wate r fl ow a lo ne.

La teral, diurnal wa ter fl ows a t the glac ie r bed invo lve th e tempora ry sto rage of w a ters in th e di stributed hydrologica l sys tem, the tra n sp ort of subglacia l debris a nd sys tem a tic \'ari a tions in th e pattern of subglacial wa ter pressures . These may h ave importa nt im p li ca ti ons for glacier erosion, hydroch emistry and motion .

1. Itnplications for glacier erosion

I t has long been recognized th a t pore-wa ter flow has the capacity to eluviate line d ebris through unconsolidated sediments (e.g . I ngles, 1968 ) . Boul ton and D ent (1974) linked verti ca l grain-size va ri a ti ons in proglacia l tills a t Breioamerkurjokull , Ice land , to elu\'ia tion by p ermea ting rain wa ter, w hilst Clarke (198 7) sugges ted th a t su bglacial pore-wa ter fl ows could result in la teral va ri a ti ons in the tex ture of th e sediment laye rs through whic h they pass. We beli eve th a t evidence fr om H a ut Gl acier d 'Arolla provides the first empirica l support for thi s process of subglacial er os ion. Borehole-turbidity pulses a re synch­ronous with sys tematic cha nges in the direc tion of the subg lacia l h ydra uli c g radi e nt and a n a lyses of th e propaga tio n r a te and a m pli tud e a tten ua tio n of the diurna l p ress u re wave ind ica tes tha t su bg lacia l sedi men ts are cha rac te ri zed by sys tem a ti c transverse varia tions in hydra uli c conducti vity, va rying from c.IO 4 m s I a t the cha nn el m a rg in to c. IO 7 m s- 1 70 m away . These values sugges t, first, th a t fin e materi a l has been rem oved from sediments und erl ying the bo rehole a rray a nd, secondl y, th a t such rem oval is grea tes t elose to the subglacial cha nnel, a long which fines m ay be transported to th e

100

~ 80

c

'" S Q; 60 c ;;:

1: Ol 40 'w ~ (]) > ~ 20

g lacier porta l. Th e spatial extent of thi s erosion m ay be a pprox im a ted by the a rea of th e glacier bed a ffec ted by th e permea ting diurn a l water flu x . Boreholc EC a nd turbidity record s from H aut G lacier d 'Aroll a indica te th at such a zone m ay be about 20- 40 m wide. Bore hole­turbidity records furth er sugges t th a t waters returning fro m thi s zo ne to th e central cha nnel may tra nsport fin e sedim en ts a t concen tra ti ons of I 10 9 I I .

2. IInplications for glacier hydrochem.is try

The occurrence o f diurnal, la tera l subglacial wa ter fl ows sugges ts the presence of three subglacia l weathe ring e n vironments. Firs t, wa ters flowing within melt-season co ndui ts will be ch a rac terized b y solute-acquisiti on s ig na tures th a t a r e indi ca ti ve o f the disso luti on of rela ti vely h igh susp end ed-sediment concentra tions for sh o rt peri ods ( te ns of minutes to hours) . Second ly, wa ters fl owing thro ugh sedim ents beneath the VPA will be ch aracterized b y solute loads tha t a re acquired from in-situ subglacia l sediments and (poss ibly) suspend ed sedimen ts ove r so me hours. Th ese effects may be most ev ident in bu lk meltwa ters forming the recess ion limb of diurna l hydrogra phs, since tha t is when these cycled pore wa ters return to subglacial dra in age channels a nd exit the g lacier. Sol u te acq u isi tion wi thi n th e distri bu ted sys tem r epresen ts th e third wea th ering environm ent, wh ere wa ters are in contact with sedim ents containing a high pro porti on of reac tive fin es for peri od s of' perha ps weeks to m o nth s. Such wa ters may ex it the glacier rel a tively continuously, as a n ionicall y concentra ted " base-fl ow" component .

3. IInplications for glacier Inotion

High subglacia l water press ures inc rease basal sliding, ei ther via slip a t th e ice- bedrock (Iken and Bind sch adler, 1986) or ice- sediment (Iverson a nd others, 1995 ) inter­face or via the d efo rma ti on of a subg lacia l sediment layer (e.g . Boul to n a nd Hindmarsh, 1987 ). Our bo rehole in ves ti ga ti ons a t H a ut Glacier d 'Arolla reveal that subglacial wa ter pressures app roach Q\ 'erburd en within a band 50 m wide a t the centre of th e VPA (Fig . 4 b) for some hours each d ay (Fig. 5) during the late melt season.

• •

• •

:; E :::J •

.t-- . dIO = c. 0.3 mm U 0 • • •

0.001 0.01 0.1 10 100

Grain-size (mm)

582

Fig. 10. Grain-size distribution oJ a near-channel subglacial till samjJledJrom a cavity in Ihe ablation area rif Haut Glacier d'Arolla . Grain-sizeJractions were determined by dlJ-sievingJrom - 5cjJ 10 3cjJ (32- 0. 125 mm) and by laser granulometry Jrom 3cp to 9cjJ (O.125- 0.002mm; Hubbard, 1992) .

Page 12: Borehole water-level variations and the structure of the ... · H a ut Glacier d ' Aroll a is a predominalllly wa rm-based vall ey glacier located at the head of Val d'H crens, Valais

J-Jubbard and olhers: Subglari((1 I~)'drnlog)' of Haul Glacier d'A mfla, Swi{<:erlalld

R eco nstru cted subg lac ial hyd ra uli c pote nti a ls indicate th a t two such channel s drain the g lac ie r for most of its

le ng th (Sh a rp a nd oth e rs, 1993) , sugges tin g th a t th ese hi g h tra nsient subg lacial water pressures aITect c. 10% o f

thi s sec tion of' th e g lacier (lI'hich is c . 1 km \\·ide). This

proportion may in c rease down-g lac ie r as th e net m e lt­

wa te r 0 ux in creases a nd g lacier \I·id rh d ec reases . The infe rred latera l va riations in subg lacia l sedim ent texture

may a lso inOuence g lacier mo tion , s ince la bo ratory studies indica te th a t sh ca r st reng th m ay be increased b y

th c remOlal of fin es (e .g . R odine and J o hnso n, 1976) . L a teral subg lac ial watcr OOIl'S, suc h as those identifi ed

a t H aut Glacier d'Arolla , therefore ha\'c timc-dependent

co nsequences for patterns 01' subglac ial pore-\nlter

pressure and sed iment texture and there fore rh eo logy ) . Th ese inOuences m ay be refl ec ted In hi gh-reso lution

temporal and spati a l variations in g lac ie r motion .

ACKNOWLEDGEMENTS

W c thank A. Hubbard and \1. Tulle), [or their ass istance in th e field . Y. 13 ams a nd P. alld B. Bournisse n provided

csse n ti a l logisti ca l su pport in Arolla . Add i tional logist ica l

support \\'as pro\'id ed by \1. Bey tre),son of Grand e

Dixe n cc S.A. The m a nuscript has bee n grea tl y impro\'("d

by co mments on a n ea rli e r draft by R. H ooke, :\. 1I'erso n a nd A. Fountain. The resea rch was fundcd by th e U.K.

Natural Eil\·ironmcnt R esearch Council (g ra nt GR3 /

8 11 4 ) and th e Roya l S oc ie ty.

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uncle r it ?; Ia c il·r. ]. G/oriol., 29 1103 . 37+-382.

,If rereiz 'ed 13 December !994 and acre/Jiff! in revised form 7 J\ 1c1)1 !995

583