Report DOE/ER/82329-2 Gathered Equations

Note: This is the entire set of equations from Report DOE/ER/82329-2, presented here without explanation. If the user does not have the TrueType font "SYMBOL" installed on the user's computer, not all the variables may show properly. It may be useful to print out the set before reading the other pages.

[1] , where

rq = relative flow, Q/Ks, (dimensionless), Q = flow (m/s), Ks = saturated conductivity (m/s), H = total head (m), and x = vertical displacement (m).

[2]

[3] , where

Dx = x₂-x₁, the vertical separation between grid cells centered at x₂ > x₁ (m), with the vertical axis positive upwards, and Y₁ and Y₂ are the matric suctions at x₁ and x₂, respectively.

[4] , where

Kv = the Darcian relative conductivity mean for vertical flow (dimensionless).

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[10] ,

where Dx = (x_i+1-x_i-1)/2

[11] ,

where kr(x1) = kr1, kr(x2) = kr2, Y (x1) = Y1, and Y (x2) = Y2, given the relationship kr(Y ).

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[14] , where

(m/s) , the saturated conductivity of the composite relation.

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[21] ,

[22] , where

kr = unsaturated relative conductivity (dimensionless), l = fitting parameter (1/m), y = matric suction (m), and y_d = displacement pressure (m).

[23] , where a = kr1, b = , u = l Dx , Dx = x2 – x1

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[30] , NOTE: I believe this equation is in error; click here for a more accurate form.

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[65] , NOTE: I believe this equation is in error; click here for a more accurate form.

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