NUMERICAL INVESTIGATION OF INFILTR ITION iNTO FROZENSOIL

Y-X TaoandD M Gray

Division of Hydrology Urnte’city of Saskatchewan Saskaton CANADA

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•d Within he bra! aler?girg t.,!urte. tli.rc. cn.i.i. liquid-sre. liquid-vapor, and :- :4pur !ntcrf4cl•e’ Fig. lb’. and it” !‘. injwnb!a. The :ength -‘aI’rnt tht liquid vapor ai’4 ir vapor tr ttrfal c are pn•pnrtt.JeP1 o the- I!qu:d ai.d :,. to!’..w. fzar’n’ e.

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scale re qi ‘ ‘or global transT)crt let crc ‘a. Hoa’u’r. t&s ctsumption ‘tic, br”ak ion af a -:gnificant phase change is coupled !th a ralathely hig!.flow rate n the porous matrix A” anl>si hr Ia’.and Gray 19031 mdicate that A’&imption • bi i’. jimtilled for ‘be typical ‘a.e’ within he scope of thistudy. Atump’ion • c; is ob iou for .nfht ration ifrozen soil ; sea later dbcu-o . %amption 14i

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Tha anal> sis exchdas ga°eous phase mocem it. ii.ai,itig phcnc•men and .ohra tralt..port hr cause the:. anot tonidered to be important factors infiuardrg theinfiltration pr.watc Tha equalionc de’cribi-g flhd’fl

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It should be noted that, depending on the initial soiltemperature distribinion. a ‘soil profile during infiltration could be divided into two domains, a completelt -

front do’ alit LI(tt) 1’) where 7a is the minimum upercooling %mperature and a partially-frozen‘loznaar’

‘:. fl T... Supercoolin& of water in soils

or nra dii.’ to: (11 rhn presence of salts that reduccti,’ .‘qiibrium freezing penn. .2’ nucleation on satfaces of cil particles and 3) tIc formation f ‘cemciii i between soil pazticle’ that reduct tie eq i.lbri ir IrecAr g pressure ( irnilar to the Kelvit ifertfor liqiid menisri’ lamp and Nor’im lfrq)t reportedrl.en1:’d-num —upercooinsi temp’-rat’ire ii. non ‘aIir’e-ct— ‘ —‘,out “C Th— take !s .aed t tic.fit’ thu r Fn bttvur tie 1tt fo c andIa ta 1 ,tI

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sastfthe u c I ralysi.it rludcd1)th 1 xklscapabk fd.cribi

infiltratio to frcact us and the c n’ple’c lutestiOns l)etW(C a at trot hr )ha* ci p and liqu Iflow that occ d’ tug th process.

(2) Th mo t ilut itial variables affecting thamount of infiltra i n vito a frozen soil are. the infiltration rarc . wrid. dep.z:d- •n thc rate maltw’ttez Ssupplied t, ‘he ‘oil -urfare.. the minimum cupercou)ing tempera? ir of -he a nter -‘il mdia, and tI.tdegree of aa”ir.tt:c’. zf the soil kt the start of ntiltra..tion. Fid pta’ ts— is lu.. sencit W ‘n the pnm abiittand i& nal rmppra’ure of coil pr’ a Ed”.’ a soil .1.i.’cnot con’ aiz k.rge uiacropoie w.d flcrA is driten 01.1:.

by capillar’t3 and ravitt£3 a In •‘n-iruni et- nby”et tc. ‘trnn ‘linr:aI ry

ding of tart per stut ti at cau* rn’ mug an’ free,ingjf watts in ‘ha id ‘soil, th to’aI r awater in ultra n of the tout tO T

aili evvnt lic.’i’ nlutt f tiOTi

t by f tia bton 0. p

fcis iaf

ACKNO?iL D L ILNTThe authois it cige. ‘I e assictance o Bat cc

and 7. Brcnvn. D. 3 sn of Kdmologi. Urn frst) ofSaukati hewan hi tl•t olie• ton. tabular.csr an procescing of field data. The financial -“pport providedby the the Sirategir Grants Program. Natura c. i.ences and Engineering Research (‘vundi of Canada is

greatly appreciated

REFERENCES

N j.”Q. Sumultaueo’ H°a aidnov -Reicue. So’ S i Ph

iStatt I it.

rim. cf(‘Cs

or op.

t .‘i I.e‘I a’ ‘4.

t

S

•a I) :b’ L...Z’ p r;t;•;. 1{.

l93 Sin’ulat ng InLkrat;c’. inn Froze. Pra;ceS ! ‘t ‘t;, ‘n4n. i-v. J (r ,rl .

\J \. .. c..:,:

int’ H at an *Soso Transafe4SiltM 99 llFDh

iiettiag Frontv tl’maSioae Rrr4Osee

Mwile’n. \ . i’iT’L A Yea Model “or Pn’dicting thr

H ;4rauiii Condn. tit in of tn&attrated PoroticM’ d’a Tfl’r’ — Rt4o’.ln.. Reerr+. V,i. 12. pp513 ‘22.

Nttt’n. J t l’” Meicentnm Fere,. IaTra.a-f’-: z Coi’iw t. ‘xcnrad F. .. ft F. Krieg’ rP’.r,. I•: S

Besaut, H. ‘.n Pilah K St dy Heat t d Ma isfer ‘ait’i

in an In’ routine, Ff01114 3 No

R 1iati( a I iti thdOrow i let PIatc

lass l)anf 333 363

Fan I , and (1rat, D M.. Vamldat.on a’L.” a! ‘vernal Eqslibr’sni : I orOus ‘leula axti,

eot. flow and Free&nc. hit or.’nu,’.liter avid fq Truraf.r. ol. 2. pp 323 332.

layk.z. ( S. and Luthin. 3. N.. i97, A Model forrr,-dp!.d Beat and \Ioistiire Trifer during c,iFreezg flu,, Gcoterh .1.. Veil 15. pp. 34”.55.3.

k aid Whitalcar. S. lSG %irnultanet54’K a’ a’d Ma.- Ti0ucfrr .1cnsrtaniew! by P’:aseC t P01011% Iicilati Heal Trrn:%f’

p 132- 40

in itaatw:tt

1 C”

a.4g T al’‘I,

Li . I a

‘ ‘I. Ia

ou kl ro Vt

Pt“ 0

Marsi IAl aC ottRe “t6.

%%oo. M lc. 984c aid Freezing of Me twa er2 a Simulation Mode, S

so:. 20. pp. 1R63 l71

I

Fleuchinger. (3a’er ModeI) The-i

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