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BIEM solutions to combinations of leaky, layered, confined, unconfined, nonisotropic aquifers
Author(s) -
Lafe O. E.,
Liggett J. A.,
Liu P. LF.
Publication year - 1981
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/wr017i005p01431
Subject(s) - mathematics , nonlinear system , dimension (graph theory) , aquifer , laplace transform , homogeneous , boundary (topology) , boundary value problem , mathematical analysis , mathematical optimization , geology , geotechnical engineering , physics , quantum mechanics , combinatorics , pure mathematics , groundwater
The boundary integral equation method (BIEM) has usually been limited to problems governed by Laplace's equations or at least, linear homogeneous equations with constant coefficients. In complex aquifers it is necessary to solve nonlinear equations and equations with nonconstant coefficients. In this paper the BIEM is expanded to treat such cases. The nonhomogeneous equations are solved by use of efficient and automatic area integrations. Matrix substructuring is used to decrease computer requirements for large, complex problems and also to maintain efficiency. Solutions in leaky, layered aquifers are found by iteration. Thus the advantages of the BIEM are available for the solution of complex systems. In the calculations presented herein the effective dimension of an aquifer system is reduced to two by use of the Dupuit assumption. The BIEM further reduces the computational dimension by one. Therefore a three‐dimensional problem is solved by a line integration.