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A direct method for the identification of the parameters of dynamic nonhomogeneous aquifers
Author(s) -
Sagar Budhi,
Yakowitz Sidney,
Duckstein Lucien
Publication year - 1975
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/wr011i004p00563
Subject(s) - aquifer , algebraic equation , interpolation (computer graphics) , inverse problem , variable (mathematics) , identification (biology) , mathematics , dimension (graph theory) , hydraulic head , inverse , parameter identification problem , mathematical optimization , mathematical analysis , computer science , geology , geotechnical engineering , geometry , groundwater , image (mathematics) , physics , nonlinear system , botany , biology , model parameter , quantum mechanics , artificial intelligence , pure mathematics
A method to solve the inverse problem is developed. This method does not require the iterative solution of the aquifer equation, which is an essential characteristic of many current identification schemes. The shape of the surface representing the observed dependent variable (which may be hydraulic head, chemical concentration, or temperature) is approximated from measured samples by means of various interpolation algorithms. Once the various derivatives of the dependent variable are approximated, the identification problem reduces locally to algebraic equations of small dimension. It is shown that aquifer conditions of general heterogeneity and anisotropy are amenable to this method. Input may be treated as an unknown to be evaluated. The method is appraised by application to scattered solution points of a simulated solution to a nonhomogeneous aquifer equation.