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A perturbation boundary element code for steady state groundwater flow in heterogeneous aquifers
Author(s) -
Lafe O. E.,
Cheng HD.
Publication year - 1987
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/wr023i006p01079
Subject(s) - groundwater flow equation , perturbation (astronomy) , laplace transform , hydraulic conductivity , groundwater flow , aquifer , boundary value problem , mathematics , mathematical analysis , boundary element method , hydraulic head , finite element method , groundwater , geotechnical engineering , geology , physics , soil science , quantum mechanics , soil water , thermodynamics
A boundary element code is developed for the steady state Darcy's flow in heterogeneous porous media. The solution is based on the expansion of the piezometric head into perturbation series. The governing equation is decomposed into a Laplace equation and a sequence of Poisson equations with known right‐hand sides. Regular boundary element procedure is applied for their solutions. Three numerical examples with moderate hydraulic conductivity variations are provided to demonstrate the applicability of the code. The convergence of the perturbation solution is discussed using a one‐dimensional problem.