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A LUMPED APPROACH TO THE INVERSE PROBLEM IN GROUND WATER HYDROLOGY 1
Author(s) -
Khan Irfan A.
Publication year - 1980
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1980.tb02501.x
Subject(s) - inverse problem , convergence (economics) , boundary value problem , mathematical optimization , mathematics , aquifer , inverse , boundary (topology) , process (computing) , porous medium , groundwater , hydrology (agriculture) , computer science , porosity , mathematical analysis , geotechnical engineering , geology , geometry , economics , economic growth , operating system
A solution procedure to solve the inverse problem in ground water, based on lumped approach, has been proposed. The method has the following advantages: 1) exact determination of the boundary conditions and the physical laws of flow through porous media is not required; 2) all errors of approximation in describing the boundary conditions, physical laws, and the aquifer properties are lumped into the surrogate parameters; and 3) the same mathematical model can be employed both in the identification process and in the subsequent management studies. The optimal values of the surrogate parameters are found by using a multidimensional unconstrained optimization code devised by Powell. The solution procedure and the convergence characteristics of the proposed algorithm have been illustrated by two hypothetical problems.