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Central Valley Aquifer, Chapters A and B - MAE Class Websites

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154 Groundwater Availability of the <strong>Central</strong> <strong>Valley</strong> <strong>Aquifer</strong>, California<br />

Net Recharge<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

slope (<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

-<br />

<br />

Hydraulic Properties<br />

<br />

<br />

<br />

K) <strong>and</strong> thickness<br />

<br />

<br />

<br />

<br />

<br />

<br />

-<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

member.<br />

<br />

<br />

<br />

<br />

where<br />

x<br />

p<br />

M ( x)=<br />

n<br />

⎛ 1<br />

⎜<br />

⎝<br />

1<br />

n p<br />

p ⎞<br />

∑ xk<br />

⎟<br />

k = 1<br />

is the value being averaged (such as hydraulic<br />

conductivity),<br />

p is the averaging power-mean<br />

exponent,<br />

n is the number of elements being averaged, <strong>and</strong><br />

th<br />

x is the k element in the list.<br />

k<br />

-<br />

<br />

K ) <strong>and</strong><br />

K <br />

<br />

where<br />

F<br />

ci ,<br />

K<br />

h,i<br />

= + ⎡<br />

⎣KF<br />

K F<br />

c c, i f f , i<br />

is the fraction of coarse-grained<br />

sediment<br />

⎠<br />

⎤<br />

⎦<br />

in a cell, estimated from sediment texture<br />

data as described earlier in Chapter A, <strong>and</strong><br />

F isthe fraction<br />

of fine-grained sediment in a<br />

f , i<br />

cell (1 Fci , ).<br />

K is much smaller that K , the arithmetic mean<br />

K <strong>and</strong> fraction of the coarse-<br />

<br />

K 1/2 )<br />

p th -<br />

<br />

-<br />

<br />

where<br />

k<br />

K vk<br />

, + 1 2<br />

F f k<br />

, + 1 2<br />

p<br />

K = ⎡F<br />

K F K<br />

vk , + 1 ck , + 1 c +<br />

f , k+<br />

1<br />

2 ⎣⎢ 2<br />

2<br />

represents the layer,<br />

p<br />

f<br />

⎤<br />

⎦⎥<br />

1 p<br />

isthe fraction of coarse-grained sediment<br />

between layer midpoints, <strong>and</strong><br />

is the fraction of fine-grained<br />

sediment<br />

between layer midpoints.<br />

,

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