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Lecture Packet 13. Stages of Desaturation

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1.72, Groundwat er Hydrology Prof. Charles Harvey

Le ct u r e Pa ck e t # 1 3 : St a ge s of D e sa t u r a t ion

St a ge s of D e sa t u r a t ion

1. Com plet e sat urat ion 2. Air ent ry

3. Funicular sat urat ion

a. Pores dewat er from large t o sm all b. Air and wat er phases are cont inuous

c. Average suct ion ( over REV) dom inat ed by direct suct ion t ransm ission t hrough t he cont inuous phase, alt hough film s of sorbed wat er exist at very large negat ive pot ent ials.

4. Pendular sat urat ion

a. Wat er phase discont inuous – no direct pressure t ransm ission b. Air phase is cont inuous.

5. Hydroscopic wat er a. Sorbed wat er b. Large suct ions

c. May or m ay not be cont inuous

1 2

4

3 2

3

4

4 4

4

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D a r cy’s La w for ve r t ica l u n sa t ur a t e d flow

Use Mass Balance equat ion:

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Advant ages

1. D does not vary over as m any orders of m agnit ude as K 2. D is not as hyst eret ic as K

3. I f gravit y can be neglect ed ( horizont al flow ) equat ion is nonlinear diffusion equat ion

Disadvant age

θ

Does not w ork for ψ < ψae

C

(

θ

)

=

=

0

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I n filt r a t ion ( “pe r cola t ion ”)

- The process by which wat er arriving at t he soil surface ent ers t he soil.

The rat e of infilt rat ion changes in a syst em at ic w ay during rainfall, even t hough t he rainfall rat e m ay be const ant .

Consider t hree different condit ions:

1. No ponding. I nfilt rat ion rat e is less t han or equal t o t he infilt rat ion capacit y, t he m axim um possible rat e.

2. Sat urat ion from above. Wat er input rat e exceeds t he infilt rat ion rat e, so ponding develops. The infilt rat ion rat e is equal t o t he infilt rat ion capacit y. 3. Sat urat ion from below. The wat er t able has risen t o or above t he surface so

t he soil is sat urat ed. Ponding occurs and t he infilt rat ion rat e m ay be zero. Fact ors affect ing infilt rat ion rat e:

1. Rat e at which wat er arrives. 2. Conduct ivit y at t he surface

a. Plant s

i. Large pores

ii. Shingling ( leaves spread on t he ground) b. Frost

i. “ concret e” effect ii. Polygonal cracks c. Sw elling- Drying

d. I nw ashing of fines e. Modificat ion of soils 3. Wat er Cont ent

a. Sat urat ion

b. Ant ecedent wat er cont ent ( how wet is t he soil before t he rainfall?) 4. Surface slope and “ roughness” cont rols ponding

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θ

θ0 t1 t2 φ

tp tw

0 Khsat

w

t

zf( t5)

t5

t6 t4

t3= tp

Wat er cont ent , θ

0 0

t2 t1 t0

t2 t1 t0 t3

D

e

p

th

,

z

Profiles show a t ypical w at er dist ribut ion aft er deep soil infilt rat ion in t he absence of evaporat ion. t0 is defined as t he t im e w hen redist ribut ion begins.

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Ra in fa ll- Ru n off M e ch a n ism s rem ainder is rainfall. Unclear w hy but w e know t his based on chem ical st udies

T Hort onian Overland Flow

• Wat er input rat e exceeds t he sat urat ion hydraulic conduct ivit y, so t he t op becom es sat urat ed and ponding and runoff occurs

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Su bsu r fa ce Pr oce sse s

• Large scale groundwat er flow

• Groundwat er m ounds near st ream s I nfilt rat ion

quick

• Pressurizat ion of capillary fringe

st rong suct ion Hydrost at ic

o Moist ure dependent anisot ropy – wat er want s t o flow lat erally because

of higher conduct ivit ies due t o higher m oist ure cont ent

o Response m ight be quick because wat er does not have t o penet rat e

very far downward.

• Sat urat ion from below can also occur when:

o Groundw at er flow lines converge in surface concavit ies o Slope breaks

Decreasing conduct ivit y

sat urat ed

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Ch e m ica l a n d I sot opic I n dica t or s

Mass balance for dissolved const it uent s:

Referensi

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