lecture17 - Approximate Analytical/Numerical Solutions to...

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Unformatted text preview: Approximate Analytical/Numerical Solutions to the Groundwater Flow Problem CWR 6536 Stochastic Subsurface Hydrology 3-D Saturated Groundwater Flow K(x,y,z) random hydraulic conductivity field (x,y,z) random hydraulic head field No analytic solution exists to this problem 3-D Monte Carlo very CPU intensive Look for approximate analytical/numerical solutions to the 1st and 2nd ensemble moments of the head field + + = z K z y K y x K x First-order Perturbation Methods Bakr et al. Water Resources Research 14(2) p. 263-271, April 1978 Mizell et al. Water Resources Research 18(4) p. 1053-1067, August 1982 Gelhar, Stochastic Subsurface Hydrology Ch. 4 Sections 4.1-4.4 McLaughlin and Wood Water Resources Research 24(7) p. 1037-1060, July 1988 James and Graham, Advances in Water Resources, 22(7),711-728, 1999. Re-write equation in terms of Ln K + = + + + + + = + + +...
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lecture17 - Approximate Analytical/Numerical Solutions to...

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