Central Valley Aquifer, Chapters A and B - MAE Class Websites
Central Valley Aquifer, Chapters A and B - MAE Class Websites Central Valley Aquifer, Chapters A and B - MAE Class Websites
154 Groundwater Availability of the Central Valley Aquifer, California Net Recharge slope ( - Hydraulic Properties K) and thickness - member. where x p M ( x)= n ⎛ 1 ⎜ ⎝ 1 n p p ⎞ ∑ xk ⎟ k = 1 is the value being averaged (such as hydraulic conductivity), p is the averaging power-mean exponent, n is the number of elements being averaged, and th x is the k element in the list. k - K ) and K where F ci , K h,i = + ⎡ ⎣KF K F c c, i f f , i is the fraction of coarse-grained sediment ⎠ ⎤ ⎦ in a cell, estimated from sediment texture data as described earlier in Chapter A, and F isthe fraction of fine-grained sediment in a f , i cell (1 Fci , ). K is much smaller that K , the arithmetic mean K and fraction of the coarse- K 1/2 ) p th - - where k K vk , + 1 2 F f k , + 1 2 p K = ⎡F K F K vk , + 1 ck , + 1 c + f , k+ 1 2 ⎣⎢ 2 2 represents the layer, p f ⎤ ⎦⎥ 1 p isthe fraction of coarse-grained sediment between layer midpoints, and is the fraction of fine-grained sediment between layer midpoints. ,
p - - - p p. mean. K RANGE IN HYDRAULIC CONDUCTIVITY, IN FEET PER DAY 1,000 100 10 1 0.1 0.01 0 20 40 PERCENTAGE COARSE-GRAINED DEPOSITS EXPLANATION Exponent of power mean— -1.0 -0.8 -0.5 -0.3 0 0.5 1.0 Model Development 155 - -3 ft/d for silty clay to 13 ft/d for sand. Williamson and others (1989) - K ) to be K ) to be 4.010 - (Harmonic mean) (Geometric mean) (Arithimetic mean) 60 80 100 Figure C14. Relation between hydraulic conductivity and percentage coarse-grained deposits based on hydraulic conductivity end members and exponent of the power mean.
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p<br />
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-<br />
p<br />
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p.<br />
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<br />
mean. K <br />
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<br />
<br />
RANGE IN HYDRAULIC CONDUCTIVITY, IN FEET PER DAY<br />
1,000<br />
100<br />
10<br />
1<br />
0.1<br />
0.01<br />
0 20 40<br />
PERCENTAGE COARSE-GRAINED DEPOSITS<br />
EXPLANATION<br />
Exponent of power mean—<br />
-1.0<br />
-0.8<br />
-0.5<br />
-0.3<br />
0<br />
0.5<br />
1.0<br />
Model Development 155<br />
<br />
<br />
-<br />
<br />
<br />
<br />
<br />
-3 ft/d<br />
for silty clay to 13 ft/d for s<strong>and</strong>. Williamson <strong>and</strong> others (1989)<br />
<br />
<br />
<br />
<br />
-<br />
<br />
<br />
<br />
K ) to be<br />
<br />
K ) to<br />
be 4.010 -<br />
<br />
(Harmonic mean)<br />
(Geometric mean)<br />
(Arithimetic mean)<br />
60 80 100<br />
Figure C14. Relation between hydraulic conductivity <strong>and</strong> percentage coarse-grained deposits based on hydraulic conductivity end<br />
members <strong>and</strong> exponent of the power mean.
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