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Darcy's Flow With Variable Permeability: A Boundary Integral Solution
Author(s) -
Cheng Alexander H.D.
Publication year - 1984
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr020i007p00980
Subject(s) - permeability (electromagnetism) , mathematics , mathematical analysis , darcy's law , boundary value problem , integral equation , porous medium , mechanics , geotechnical engineering , geology , porosity , physics , chemistry , biochemistry , membrane
A boundary integral equation method (BIEM) for Darcy's flow with spatially varied permeability is developed. The formulation requires that Green's function be found for each given permeability variation. For a few permeability functions in one and two dimensions, which can be used to fit field permeability data, closed‐form Green's functions are obtained. Numerical examples are solved and verified.