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Some relationships between snow cover and climate

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NATIONAL RESEARCH COUNCIL CANADA

DIVISION OF BUILDING RESEARCH

SOME RELATIONSHIPS BETWEEN SNOW COVER AND CLIMATE

by

L.W. Gold and G.P. W i l l i a m s

( T h i s r e p o r t has been p r e p a r e d f o r i n f o r m a t i o n and r e c o r d purposes and i s not t o be

r e f e r e n c e d i n any p u b l i c a t i o n ) Report No.

98

of t h e D i v i s i o n of B u i l d i n g Research O t t a w a ~ u g u s t

1956

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The snow and i c e r e s e a r c h program of t h e D i v i s i o n of B u i l d i n g Research i n c l u d e s not o n l y l a b o r a t o r y s t u d i e s but t h e i n v e s t i g a t i o n of snow c h a r a c t e r 1 s t i c s i n t h e f i e l d . T h i s r e s e a r c h work has been g r e a t l y a s s i s t e d by t h e

s t e a d i l y accumulating r e c o r d s from t h e Canadian Snow Survey which i s c a r r i e d out under t h e a u s p i c e s of t h e A s s o c i a t e Committee on S o i l and Snow Mechanics.

Using some of t h e d a t a o b t a i n e d i n t h i s way, t h e a u t h o r s of t h i s r e p o r t ( A s s i s t a n t Research O f f i c e r s i n DBR, M r , Gold being Head of t h e Snow and I c e Research S e c t i o n ) have c o n t i n u e d e a r l i e r s t u d i e s on t h e a n a l y s i s of t h e Snow Survey r e s u l t s w i t h s p e c i a l r e f e r e n c e t o t h e i n t e r - r e l a t i o n of snow cover and c l i m a t e .

The D i v i s i o n w i l l welcome comments on t h i s r e p o r t by t h o s e who s t u d y i t , p a r t i c u l a r l y s i n c e t h i s i s s o new a f i e l d of r e s e a r c h i n which s o much y e t remains t o be done.

O t t awa

,

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ABSTRACT

& e l b i n a r y a n a l y s e s of d a t a c ~ l l e c t ~ e d t o d a t e by

, ; C 8 ~ a ~ ~ d i a n Snow S l l s v e y g i v e encouraging i n d i c a t i o n s of

dug: ~ 0 ~ ~ i b 2 . l i . t ~ of c o s r e l a t % n g snow cover p r o p e r t i e s t o

-;a.;aate. It was f o m d t h a t m o w d e n s i t y I n exposed area@ IF, &pendent on. s combinatfon cf w9nd v e l o c i t y and temper- a t u r e , The s t r e n g t h of t h e snowp as measured by I t s hasdnsss e z ~ l t h e t h e r m a l c o n d u c t i v i t y of t h e snow C O V ~ F ~ ~ L B Q can be

2 x : c s l a t e d t o c l i m a t e pskmarlly t h r ~ u g h I t s dependence

on

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SOME FELATIONSHLPS BETWEEN

SNOW COVER AND CLIMATF

L.W, Gold and G.P, Williams

I n 1946 a snow survey was i n Z t i a t e d by t h e Associate Committee on S n f l and Snow Mechanics of t h e N a t i o n a l Research Council of Canada (1). The purpose s f t h i s survey was t o determine t h e p h y s i c a l c h a s a c t e r S . s t i c s of t h e snow cover i n Canada. With t h e kind co- pera at ion of t h e Meteorological S e r v i c e of Canada and p r i v a t e corn anSes, s e v e r a l o b s e r v a t i o n s t a t i o n s were e s t a b l i s h e d ( ~ i g . 17. A t t h e s e s t a t i o n s ,

c e r t a i n p h y s i c a l p r o p e r t i e s of t h e snow c o v e r and p e r t i n e n t m e t e o r o l o g i c a l d a t a were measured and r e c o r d e d ( 2 ) .

Papers appeared i n 1950 and 1451 g i v i n g summarLes of r e s u l t s based on o b s e r v a t i o n s made i n t h e s u r v e y , but no d e t a i l e d a n a l y s e s were made (3,4,5,6), By 1955 s u f f i c i e n t d a t a had been c o l l e c t e d t o warrant a more complete s t u d y . Then it was p o s s i b l e t o look f o r g e n e r a l c o r r e l a t i o n s between s p e c i f i c snow p r o p e r t i e s and snow p r o p e r t i e s and c l i m a t i c f a c t o r s ,

Each annual snow cover h a s p a r t i c u l a r p r o p e r t i e s which e v e n t u a l l y w i l l e s t a b l i s h t h e average c h a r a c t e r i s t i c s of t h e c o v e r , i n a manner comparable t o t h e establishment of c l i m a t e by weather c y c l e s . It i s n a t u r a l that t h i s s i m i l a r i t y e x i s t s , because t h e cover i s a n e f f e c t of m e t e o r o l o g i c a l

e v e n t s whicn determine weather. If c o r r e l a t i o n s could be e s t a b l i s h e d between snow cover p r o p e r t i e s and m e t e o r o l o g i c a l f a c t o r s , t h e problem of determining snow cover c h a r a c t e r i s t i c s would be g r e a t l y s i m p l i f i e d , Then it would be p o s s i b l e t o determine snow c o n d i t i o n s o r s p e c i f i c p r o p e r t i e s of snow cover from t h e comparative abundance of m e t e o s o l o g i c a l d a t a . T h i s procedure would seduce t h e number of o b s e r v a t i o n s i t e s r e q u i r e d and t h e time element n e c e s s a r y f o r e s t a b l i s h i n g the average snow cover c h a r a c t e r i s t i c s , The Canadian Snow Survey has adopted t h i s p r i n ~ i p l e ,

Except f o r l o c a l f l u r r i e s 9 t h e m o i s t u r e which forms snow cover i s c a r r i e d i n t o a r e g i o n i n l a r g e a i r masses. These a i ~ masses develop o v e r P o l a r , A t l a n t i c o r P a c i f i c

r e g i o n s . Those which develop over P o l a r ~ e g i o n s are c o l d and normally c a r r y l i t t l e m o i s t u r e , P o l a r air masses dominate t h e w i n t e r scene over a l a r g e p a ~ t of Canada and are u s u a l l y a s s o c i a t e d w i t h c o l d , c l e a r weather (71, Masses which c a r r y i n most of t h e moisture develop o v e r t h e A t l a n t i c and Pacif l c a r e a s 9 a f a c t o r which I s r e f l e c t e d i n snowfa21 d i s t r i b u t i o n maps

( 8 8 )

-

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With e a c h p a r t cf t h e a i r mass i s a n a v e r a g e t e m p e r a t u r e , m o i s t u r e c o n t e n t , and wind v e l o c i t y , which v a r y w i t h b o t h t i m e and p o s i t i o n . When t h e a i r mass, o r a p a r t of i t , r e a c h e s a c r i t i c a l s t a t e i n v o l v i n g t e m p e r a t u r e and m o i s t u r e c o n t e n t , p r o c e s s e s occur which r e s u l t i n p r e c i p i t a t i o n r e a c h i n g t h e ground.

The form of snow c r y s t a l s which a r r i v e a t t h e round i s

dependent on t h e h i s t o r y of t h e c r y s t a l i n t h e a i r (107. S i n c e t h e m a j o r p o r t i o n of development of t h e c r y s t a l o c c u r s i n c l o u d s w e l l above t h e ground, t h e r e need be l i t t l e c o r r e l a t i o n between m e t e o r o l o g i c a l c o n d i t i o n s which e x i s t a t t h e ground l e v e l and t h e p r o p e r t i e s of t h e f a l l i n g snow. I n mountainous r e g i o n s , where t h e p r e c i p i t a t i n g c l o u d i s much c l o s e r t o t h e o b s e r v a t i o n

l e v e l , some c o r r e l a t i o n s have been d e t e c t e d ( 1 1 , 1 2 ) . Though m e t e o r o l o g i c a l c o n d i t i o n s a t t h e ground may n c t be r e l a t e d t o t h e p r o p e r t i e s of t h e snow w h i l e i t i s s t i l l i n t h e a i r , t h e y a r e v e r y i m p o r t a n t i n d e t e r m i n i n g how snow p a r t i c l e s a r e d e p o s i t e d

( 1 3 ) .

Of t h e m e t e o r o l o g i c a l v a r i a b l e s t h a t a r e measured, wind v e l o c i t y and a i r t e m p e r a t u r e a p p e a r t o be t h e dominant f a c t o r s a f f e c t i n g t h e f o r m a t i o n of t h e c o v e r ( 1 4 ) .

Once t h e snow i s d e p o s i t e d , t h e thermodynamic p r o c e s s i n v o l v i n g t h e snow p a r t i c l e r e v e r s e s from one of growth t o one of d e c a y , c a l l e d metamorphism ( 1 5 , 1 6 ) . Under t h e i n f l u e n c e of a c o n t i n u o u s l y changing environment, t h e p h y s i c a l p r o p e r t i e s of t h e snow modify. Temperature, g r a d i e n t s of t e m p e r a t u r e , p r e s s u r e , g r a d i e n t s of p r e s s u r e , all a c t on t h e snow t o produce a mass f l o w a p p e a r i n g i n t h e s o l i d , l i q u i d o r vapour phase. The

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

e

s t a l shape and s i z e and i n t e r c r y s t a l l i n e bonding i s p a r t i c u l a r l y no iceable ,n t h e upper l a y e r s of t h e c o v e r . A t a d e p t h of 20 cm., s e a s o n a b l e s t a b i l i t y i s a c h i e v e d ( 1 7 ) . The m e t e o r o l o g i c a l f a c t o r s d e t e r m i n e t h e environment i n which t h e metamorphic p r o c e s s i s

o c c u r r i n g .

Dependence of Snow D e n s i t y on Wind V e l o c i t y and Temperature Many d i f f i c u l t i e s oacilr t o c o m p l i c a t e t h e problem of

r e l a t i n g snow c o v e r c h a r a c t e r i s t i c s t o c l i m a t e . I n any one a r e a , t h e w e a t h e r , which e s t a b l i ~ h e s t h e c l i m a t e , undergoes l a r g e v a r i - a t i o n s from y e a r t o yeara o r w i t h i n one y e a r . F u r t h e r v a r i a b i l i t y

i s i n t r o d u c e d by t h e i n f l u e n c e of t o p o g r a p h y , v e g e t a t i o n and o t h e r f a c t o r s i n t i m a t e l y i n v o l v e d i n t h e f o r m a t i o n of t h e c o v e r . T h i s v a r i a b i l i t y makes i t d i f f i c u l t t o a s s i g n a v e r a g e v a l u e s t o t h e p r o p e r t i e s measured. F o r example, wind v e l o c i t y , t ) e m p e r a t u r e , h u m i d i t y , e t c . , measured a t a s i t e may n o t be r e p r e s e n t a t i v e of t h e a v e r a g e wind v e l o c i t y , t e m p e r a t u r e , h u m i d i t y , e t c . , which e x i s t a t t h e time of measurement o v e r t h e o b s e r v a t i o r l a r e a .

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T h i s a p p l i e s a l s o t o measilrement ~ f snow p r o p e r t i e s a t s i t e s where snow o ' b s e r v a t i o n s were t a k e n i n one a r e a o n l y and l o c a l v a r i a t i o n s could not be e v a l u a t e d . Observers were i n s t r u c t e d t o choose a n a r e a t y p i c a l of t h e s u r r o u n d i n g c o u n t r y , but l o c a l c o n d i t i o n s o f t e n made t h i s i m p r a c t i c a l o r i m p o s s i b l e .

A f u r t h e r d i f f i c u l t y i s whether t h e w e a t h e r d a t a , u s u a l l y r e c o r d e d as a v e r a g e s , a r e t r u l y r e p r e s e n t a t i v e of t h e w e a t h e r which i n f l u e n c e d t h e snow c o v e r . For example, i n a

s i n g l e month, one maJor storm w i t h h i g h winds might be t h e dominant f a c t o r a f f e c t i n g t h e snow c o v e r c h a r a c t e r i s t i c s f o r t h a t month. The average wind v e l o c i t y r e c o r d e d f o r t h a t month might n o t be r e p r e s e n t a t i v e of t h e wind v e l o c i t i e s which o c c u r r e d d u r i n g t h e storm. Another example would be t h e e f f e c t of a s i n g l e day of f r e e z i n g r a i n o r thaw which would have an i n f l u e n c e on

t h e snow c o v e r n o t r e f l e c t e d i n t h e monthly a v e r a g e t e m p e r a t u r e v a l u e s . Because of t h e s e d i f f i c u l t i e s , i t was r e a l i z e d t h a t e x a c t r e l a t i o n s h i p s c o u l d n o t be e s t a b l i s h e d .

To overcome some of t h e d i f f i c u l t i e s a s s o c i a t e d w i t h s i t e and c l i m a t i c v a r i a t i o n s , only d a t a c o l l e c t e d d u r i n g

months of continuous c o l d a t s t a t i o n s w i t h exposed s i t e s were used t o determine t h e f i r s t r e l a t i o n s h i p s t o be p r e s e n t e d . S i n c e wind v e l o c i t y and t e m p e r a t u r e a p p e a r t o be t h e dominant f a c t o r s

i n t h e f o r m a t i o n of t h e c o v e r , o n l y t h e s e e l e m e n t s were used t o c a l c u l a t e a n index of t h e c l i m a t e . P r e v i o u s i n v e s t i g a t i o n s

i n d i c a t e d t h a t d e n s i t y i s t h e most i m p o r t a n t p h y s i c a l c h a r a c t e r i s t i c of snow c o v e r , upon which secondary p r o p e r t i e s , such as s t r e n g t h and t h e r m a l c o n d u c t i v i t y depend ( 1 3 , 1 7 , 1 8 ) . T h e r e f o r e , by

c o r r e l a t i n g d e n s i t y t o c l i m a t e i t i s a p p a r e n t t h a t a c o r r e l a t i o n a l s o can be found between c l i m a t e and o t h e r snow p r o p e r t i e s .

The a i r t e m p e r a t u r e and wind v e l o c i t y d a t a were combined i n t o a weather i n d e x . Attempts t o r e l a t e a i r t e m p e r a t u r e o r wind v e l o c i t y , s e p a r a t e l y , t o snow d e n s i t y f a i l e d t o show s i g n i f i c a n t r e s u l t s . The monthly a i r t e m p e r a t u r e s were d i v i d e d i n t o s i x

c l a s s e s : +25OF. t o +15OF,; +15OF. t o +5OF.; +5OF. t o -5OF.; -5OF. t o -15°F.; -15F0. t o -25OF.; -25OF. t o -35OF., which covered t h e range of monthly a i r t e m p e r a t u r e s encountered. The monthly average wind v e l o c i t y was d i v i d e d i n t o s i x c l a s s e s : 0

-

5; 5

-

10; 1 0

-

15; 1 5

-

20 ; 20

-

25; 25

-

30 m.p.h., which covered t h e range of wind v e l o c i t i e s e n c o u n t e r e d . The w e a t h e r index was made by adding

t h e c l a s s numbers of wind v e l o c i t y and t e m p e r a t u r e . F o r example, i f t h e average monthly a i r t e m p e r a t u r e was o°F. i t would f a l l i n c l a s s

3

(+5OF. t o -5OF.). If t h e a v e r a e monthly wind v e l o c i t y was 8 m.p.h. i t would f a l l i n c l a s s 2 75

-

1 0 m.p.h.)

.

The

weather index f o r t h i s month was t h e sum of t h e two c l a s s e s which i n t h i s c a s e , e q u a l s f i v e .

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Every month was a s s i g n e d a w e a t h e r i n d e x , which could be compared t o a n average monthly d e n s i t y . F i g u r e 2 p l o t s t h e average monthly d e n s i t y of t h e l a y e r l y i n g between 4 i n c h e s

and 1 2 i n c h e s from t h e snow s u r f a c e , a g a i n s t t h e monthly weather index f o r exposed s t a t i o n s . It i s s e e n t h a t a g e n e r a l r e l a t i o n - s h i p e x i s t s . I n F i g , 2 , t h e s e i s a c o n s i d e r a b l e s p r e a d i n d e n s i t y v a l u e s f o r any p a r t i c u l a r index. T h i s may be due t o t h s n a t u r e of t h e d a t a , t h e smearing e f f e c t which i s i n h e r e n t i n t h e use of monthly a v e r a g e s and i n d i c e s and t o f a c t o r s which have been

n e g l e c t e d . When t h e m o ~ t h l y a v e r a g e s were c a l c u l a t e d f o r s h e l t e r e d s t a t i o n s and p l o t t e d a g a i n s t t h e weathes index f o r $he month,

l i t t l e c o r r e l a t i o n was foamd. T h i s 1s because most of t h e s h e l t e r e d s t a t i o n s a r e l o c a t e d i n a p a ~ t ~f Canada s u b j e c t t o weather f l u c t u a t i o n a t h a t produce m e l t i r ~ g and r a i n . T h i s f a c t o r p l a y s a major r o l e i n d e t e r m i n i n g t h e c h a r a c t e r i s t i c s of snow

c o v e r .

Both a i r temperature and wind v e l o c i t y i n f l u e n c e snow d e n s i t y , For example, d e n s i t y v a l u e s a t Old Glory Mountain, B r i t i s h Columbia and R e s o l a t e , N,W.T., a r e compasable. Yet i n a t y p i c a l y e a r t h e average w i n t e r t e m p e r a t u r e a t Old Glory Mountain can be 25°F. t o 30°F. h i g h e ~ t h a n t h e a v e r a g e w i n t e r t e m p e r a t u r e a t R e s o l u t e , However, t h e a v e r a g e wind v e l o c i t y a t Old Glory Mountain i s almost double t h a t r e c o r d e d a t R e s o l u t e . When t h e

two f a c t o r s of wicd v e l o c i t y and a i r t e m p e r a t u r e a r e combined i n t o a n i n d e x , t h e t w ~ s t a t i o n s have comparable w e a t h e r i n d i c e s .

It i s n o t c l e a r how t e m p e r a t u r e e n t e r s i n t o t h e r e l a t i o n - s h i p , Boasolasco h a s shown t h a t t h e d e n s i t y of new snow

d e c r e a s e s w i t h d e c r e a s i n g t e m p e r a t u r e from 0°C. to-15°C. and t h e n r e v e r s e s t h i s t r e n d ~ Q Pt e m p e r a t u r e s below l 5 O C . ( 1 2 ) It may be t h a t t h e t e m p e r a t u r e i s n o t t h e r e a l v a r i a b l e i n v o l v e d , but merely a n i n d i c a t o r of o t h e r p r o c e s s e s . F o r example, t h e low t e m p e r a t u r e s , t h a t occur a t R e s o l u t e o r cn t h e P r a i r i e s

,

may be a s s o c i a t e d w i t h many s n o w f a l l s c o n t r i b u t i n g l e s s t h a n 1- i n c h pez s n o w f a l l t o t h e c o v e r . A c o v e r , b u i l t up i n such s m a l l s t e p s , h a s i t s snow

t h o r o u g h l y worked over by t h e wind, S t a t i o n s w i t h h i g h e r a v e r a g e t e m p e r a t u r e s a r e l i k e l y t c have s n o w f a l l s which c o n t r i b u t e a

c o n s i d e r a b l e arno1m.t t o t h e c o v e r . The g e n e r a l r e l a t i o n shown i n F i g . 1, a l t h o u g h n o t s s t l s f a c t o s y , i s t h e most promising o b t a i n e d from t h e d a t a a v a i l a b l e ,

The R e l a t i o n of Snow Hardness t o Climate

The v a l u e of c e r t a i n p h y s i c a l c h a r a c t e r i s t i c s of snow c o v e r such as d e n s i t y , g r a i n s i z e s g r a i n shape and d e g r e e of bondingJ depends p r i m a r i l y on t h e thermodynamkc p r o p e r t i e s of t h e environment, t h a t i s s w e a t h e r o r c l l m a t e . Other p h y s i c a l p r o p e r t i e s such as s t s e ~ g t h p r o p e r t i e s , t h e r m a l c o n d u c t i v i t y and p e r m e a b i l i t y depend on e l l m a t e t h r o u g h t h e i s r e l a t i o n s h i p t c d e n s i t y , g r a i n s i z e , e t e , I n this r e s p e c t t h e y a r e secondary p r o p e r t i e s of t h e snow c o v z . ~ ,

(9)

Fza::~ th e d a t a c o l l 2 c t e d i n t h e survey i t was f o w d t h a t snow hasdnesaa a s measused by t h e N a t i o n a l Research Council h a r d ~ e s s gauge, depends primarily on d e n s i t y and t o a l e s s e r e x t e n t on t e n p e r a t u s e and g r a i n s i z e

(181,

A 40°c. change i n temperature had a p p r o x i m a t e l y t h e same e f f e c t on snow h a r d n e s s a s a corresponding change of 0 . 2 gm/cm3 i n d e n s i t y . F i g u r e 3 shows t h e dependence of t h e mean of t h e l o g a r i t h m s of a random sample of h a r d n e s s e s , on a n index d e r i v e d f ~ o m d e n s i t y and temperature c . o r s e s p o n d l ~ ~ g t o each h a r d n e s s r e a d i n g , The l i n e a s s o c i a t e d w i t h each mean v a l u e , g i v e s t h e s p r e a d t h a t was observed f n t h e d a t a . Due t o d i f f i c u l t i s involved i n m e a s u i n g hasdnesses g ~ e a t e r t h a n

5

1600 grn/cm spy value over 1000 was a r b i t s a ~ i l y g i v e n t h e v a l u e of 2500. The daahed l i n e i s t h e dependence ~ b s e r v e d when v a l u e s over 1000 gm/cm2 a r e i n c l u d e d and t h e s o l i d l i n e

i s t h e dependence when t h e y a r e n o t i n c l u d e d . Each l i n e was t h e b e s t f i t c a l 2 u i a t e d by t h e method of l e a s t s q u a r e s . The lower r i g h t nasd sorrier of F i g . 3 shows how t h e i n d e x i s

d e r i v e d . F o r i ~ s t a n c e , snow w i t h a d e n s i t y of 0.2 gm/cm2 and a temperatuke of - 2 5 O ~ , would be g i v e n a n index number of seven.

Wind and t e m p e r a t u r e p l a y a l a r g e p a r t i n d e t e r m i n i n g t h e c h a r a c t e r i s t i c s of snow c o v e r d u r i n g d e p o s i t i o n . What p a r t t h e s e f a c t o r s p l a y i n d e ~ e l ~ p i n g t h e c h a r a c t e r i s t i c s of t h e snow, e i g h t i n r k e s below t h e s u r f a c e , i s s t i l l not c l e a r . As soon a s snow i s d e p c s l t e d , a mechanism of bonding between

snow g r a i n s i s i n h t i a t e d a s p a r t of t h e metamorphism p r o c e s s . The degree of bonding, which develops between g r a i n s , depends

on t h e thermornech%nical f o r c e s t o which snow i s s u b j e c t . T h i s bonding p l a y s a n a J o s r o l e I n d e t e r m i n i n g t h e s t r e n g t h of t h e snow. I n F i g ,

3,

v a - i a t l o n s i n t h e s t r e n g t h p r o p e r t i e s a t

any one index number probably r e f l e c t v a r i a t i o n s i n t h i s i n t e r - g r a i n bonding whlcb, I n ~ I ; ~ F D , r e f l e c t t h e thesrnomech%nical

c 0 n d i t i o r . s t o wtLPr_kA t h e snow grairas have been s u b j e c t . Climate p l a y s a l a r g e p a r t i n d e t e r m i n i n g t h e t h e r m o c o n d i t i o n s and,

( t h r o u g h wfnd a c t f o n a t l e a s t ) , perhaps even t h e mechanical. Two c o r n o n l y obse-ved extremes i n h a r d n e s s v a l u e a r e hazd snow

c r u s t s , whl ch develop t h s ~ l i g h wind actict.-i, and s u g a r snow,

which i s comaraorz d u r i n g t h e s p r i n g freeze-Dhaw per-lsd. A t , some time i n t h e i r k a i s t o r y , t k e a e two e x t ~ e r n e s m y have t h e same d e n s i t y and t e n p e ~ a t u ~ e .

The E f f e c t of Snow C o v e r or Heat Flow and t h e Subsequent I n f l u e n c e s f Climate

W i l l i a m s , 13 h i s conpa~:son of snow p r o p e r t i e s between Aklavik and R e s o l u t e

,

f ~ 1 m d a c o r k e l a t i o n between t e n p e s a t u ~ e

g r a d i e n t t h s s u g h snow and t h e mean d e n s i t y of snow ( 1 9 ) .

L a b o r a t o r y e x p e p i n e ~ $ s show t h a t t h e r m a l c o n d u c t i v i t y of snow

(10)

and h e a t flow from t h e ground i n t o t h e snow c o v e r , a s measured a t O t t a w a , Canada, d u r i n g t h e w i n t e r 1955

-

56, i n d i c a t e t h e i n f l u e n c e of snow cover on h e a t flow ( F i g . 4 ) . These measure- ments were r e c o r d e d a t n i g h t when t h e h e a t flow was a t a c o n s t a n t v a l u e . The e f f e c t of even a 2 - i n c h snow c o v e r on t h e h e a t flow i s v e r y s t r i k i n g ; under a p p r o x i m a t e l y t h e same t e m p e r a t u r e

c o n d i t i o n s a t t h e a i r i n t e r f a c e , t h e h e a t f l o w , w i t h two i n c h e s of snow c o v e r , i s l e s s t h a n one q u a r t e r of t h a t w i t h no c o v e r . Curve ( 4 ) , showing measured c o n d i t i o n s w i t h a 12 - i n c h snow c o v e r , f u r t h e r emphasizes t h e e f f e c t

.

Under t h e p r o t e c t i v e b l a n k e t of snow, t h e warm up of p r e v i o u s l y cooled ground i s

c l e a r l y n o t i c e a b l e .

S i n c e t h e r m a l c o n d u c t i v i t y depends on d e n s i t y , it must be c o r r e l a t e d t o c l i m a t i c f a c t o r s . The t y p e of c l i m a t e t h a t d e v e l o p s h i g h d e n s i t y snows i s u s u a l l y a s s o c i a t e d w i t h low snow- f a l l , low t e m p e r a t u r e s and medium t o h i g h wind s p e e d s . T h e r e f o r e , a c l i m a t e t h a t produces a h i g h d e n s i t y snow c o v e r , u s u a l l y has extreme weather c o n d i t i o n s t h a t l e a d t o maximum h e a t flow from t h e s u r f a c e , F i g u r e 4 i n d i c a t e s t h a t t h e range i n p o s s i b l e h e a t flow under s i m i l a r weather c o n d i t i o n s i s v e r y g r e a t . T h e r e f o r e , t h e r e should be a s i g n i f i c a n t r e g i o n a l v a r i a t i o n i n t h e a v e r a g e amount of h e a t e x t r a c t e d from t h e ground d u r i n g a w i n t e r season. The d e p t h of f r o s t p e n e t r a t i o n o r t h i c k n e s s of i c e c o v e r developed d u r i n g a w i n t e r , i s a good i n d i c a t o r of t h i s v a r i a t i o n .

(11)

1. Bui idir:-i_g R e a e a r - ~ k La Carbsda, Vo3. 2 , No. 2 , December

1955,

pp 52-54. 2 . KleFn, G . J O 9 $ear:s, DOC. a ~ d Gold, L.W., Method of Measuring t h e

S i g n i f i c a n t Charaste,A.st%cs of a Snow Coves. A s s o c i a t e Committee on S o i l and Me?.hanlcs N a t i o n a l Research Council, D i v i s i o n of B u i l d i n g R e s e a ~ a h , TOM. 1 8 , 0 t t a w a , November, 1950,

3.

K l e i n , G . J . , Canadian Survey of P h y s i c a l C h a r a c t e r i s t i c s of Snow Covers, A s s o c i a t e Committee on S o i l and Snow Nechanics, N a t i o n a l

Research C o u n c i l , Divisiori of B u i l d i n g R e s e a ~ e h

T.M.

15, Ottawa 1950. 4. K l e i n , G.J.

,

P ~ o c e e d i r i g s of t h e Westem Snow C o n f e ~ e n c e , V i c t o r i a ,

B.C, A p ~ 1 1 , 1951,

5.

Pearae, D O C o and Gold, L,W,, The Canadian Snow Survey, 1947-50, A s s o c i a t e Cornmkttec on S o i l ar-d Snow Mechanics, N a t i o n a l Research

Council, D l v l s i c n of BuiZdT~g Research T.M. 2 1 , Ottawa 1951.

6 .

Gold

,

L.W. afid W i l l i a m s , G o P o , Some R e s u l t s s f t h e Canadian Snow Survey. Prepared for p - e s e ~ t a t i o n t o the E a s t e r n Snow Conference, Hanoves, New Hampshire, February 9-10, 19560 N a t i o n a l Research C o u n c i l , D i v i s i o n of B u i l d i n g Research.

7 . Cownor, A , J . , S n o w f a l l Maps i n Canada. Proceedings of C e n t r a l Snow C o n f e r e n c e , December 11-12? 1941,

8.

Thomas, M . K , , C12xza,a+oLogiv~al A t l a s of Canada, N a t i o n a l Research

Council N o .

31519

D f v f e i o n of B u i l d i n g Research Report 41. Ottawap December 1953.

9 . Boughnes, C,C, and P o t t e r , J O G , , Snow Cover I n Canada. Weatherwise, Vol. 6 , No. 6 , De,cember 1953. pp 155-171,

1 0 . Nakaya, U,

,

Snow C~ystals, N a t u r a l and A r t i f i e i a l , Harvakd U n i v e r s i t : ~ P r c a s , 1954.

1 2 . B o a s s l a s c o , N o , Geofiaizs. PUTS e A p p l i c a t a , No. 28, 1954, pp 208-222. 1 3 . R i c h t e r , G . D . , Snow Cover, i t s Formation and P r o p e r t i e s . Academy

Scfence U.S ,S , R . Popular Science S e r i e s , P u b l i s h i n g House of t h e Academy Science U.S,S,R., Moscow, Leningrad, 19450

1 4 . D m i t r i e v a , N O G O , C a l c u l a t i o n of Snow Cover D e n s i t y u s i n g M e t e o s o l o g i c a l Data ( ~ a s c h e t p l s t r A a s t d snezAhnogo pokra po rneteorologischeskiw

damyfi9 M e t e o r o l o g i i a 1 G i d i o l o g 2 i a 9 Ms. 2 ) " S f p r e Translation No. 24, 1954, 4 ~ 0

(12)

15, Ysshf d a , F , and ,:~l.l.eag~xl+s, P h y s i c a l S t u d 1 . e ~ on Deposited S n ~ w , I., T h . e ~ n a l . p y o p s r t l . s s , Conts%bm,t i o n s from I n s t i t a t e Low Tenpesata~se Scfene.e, No,

7,

1.955> pp 3.9-74,

17. Williams, ';;,Po, A Stludy o r Sr11,ow D e ~ s i t y A c ~ o s e Canada,

Unpzab11.;3hed D i v i a S,o:r. of Bu'..l.d?,.ng Re 3i3a~a12k-i R e p m t

.

18.

Gold 1; ,W , !, Th;? SiT;vr='2r3gtk 071' SP.T:/N 3,.7ch :Lnmp,~12 >?!q XC:?~, ,, :Fj~bmit t e d

t o t h e Jnu~nal nf Qla:r,:bokcgyp Decembe~

1955"

N"i.tJ.ona1

R e s e a ~ - . h Cm~~:~r;.:'ll, D:i.vl.sS.c,ri, of B u i l d l : ? ~ g R s s e s ~ c : h . ,

19.

WillIm,s G, P o , AP. an alga$^. ob' SZ.C!M C O V ~ F C ~ h a ~ ~ ~ ~ ~ + ~ s ~ i 8 t i c ~

a t Akl3.vf.k and W e g ~ L ~ t e , N a t i , ~ ~ a l I3eses.r-b ?nn:x~!c:'_?..

D%v .E,B l,sr, oE B l ~ ? _ l d k ~ ? g Re ~-~?,3:.~?,.h R ~ P C P F ~

9

l. !!,M+I;Fs t. 2.95b .

20. Kondsatyevs, A . S O r Thesmsl C o z d u c t i v f t g cf t h e 3now Cover, and P h y s i c a l P s o c e s s e s caused by t h , e Temper.atu.t.e G ~ a d l e n t

.

( ~ T f p l o p r o v o d v o s t snegovoqo pokrsva i Rizkcheskie p r a t s e s s y p ~ o $ a k b s d i a s c h $ e w ne.m pod olianiem temperaturflogo g r a d i e n t ) .

Publj.shed ir: ,Ph:y.3j.c2a1. and klle;::herzl.~.al P k o p e r t i e s of Snow and

t h e i r TJtl,l.!!zation 2.n .Ai:rf%.isl.d ac.d Road C o n e t ~ u c t i o a s ,

Mogeow, LsnYn.grad, Akadem.l.l.a N@hik9 U . S ,S,Ri 1945, pp 14-28. S % p m Tranalatic,n No, 2 2 ,

2.954,

1.3

p .

(13)
(14)

W E A T H E R I N D E X ( W / V

-

TEMP. C L A S S )

F I G U R E 2

W E A T H E R I N D E X R E L A T E D T O M O N T H L Y

D E N S

I

T Y V A L U E S A T E X P O S E D S T A T

I

O N S

ACROSS C A N A D A

D.B.R. R E P O R T 98

(15)

-

I I I I I I I 1 I I I I

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

0 -10 - 2 0 - 3 0 -40 T E M P E R A T U R E O C

-

I I I I I I I I I I I I

DENSITY

-

TEMPERATURE INDEX No.

FIGURE

3

THE DEPENDENCE O F SNOW HARDNESS ON

AN INDEX D E R I V E D FROM A C O M B I N A T I O N

O F SNOW DENSITY AND TEMPERATURE

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t

-

0 0

0 0

-

I I

-

I

-

-

-

\ GROUND SURFACE 7

-

TEMPERATURE OC LEGEND

a

15/1/56 0300 A M N O S N O W C O V E R , H E A T F L O W 19.5 BTU/HR F T ~ @ 2 2 / 1 / 5 6 0300 A M 2 I N C H E S S N O W COVER, H E A T F L O W 3.93 BTU/HR F T ~ @ 2 2 / 2 / 5 6 0300 A M 1 2 I N C H E S S N O W C O V E R , H E A T F L O W 1 . 5 5 BTU/HR F T ~ F I G U R E 4

TEMPERATURE TAUTOCHROMES AND A S S O C I A T E D HEAT F L O W AS OBSERVED A T OTTAWA

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