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Identification of Parameter Structure in Groundwater Inverse Problem
Author(s) -
Sun NeZheng,
Yeh William WG.
Publication year - 1985
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/wr021i006p00869
Subject(s) - inverse problem , piecewise , mathematical optimization , sensitivity (control systems) , inverse , parameter identification problem , mathematics , estimation theory , optimization problem , representation (politics) , identification (biology) , system identification , algorithm , computer science , model parameter , data mining , mathematical analysis , engineering , geometry , electronic engineering , politics , political science , law , measure (data warehouse) , botany , biology
This paper develops an optimization method that can be used to identify parameter structure as well as its values in connection with the inverse problem in groundwater modeling. The complexity of the parameter structure is determined by the quantity and quality of observation data. Output least square error is used as the criterion of identification. Sensitivity coefficients at finite element nodes are evaluated by the variational method. The problem of identifying the parameter structure is formulated as a problem of combinatorial optimization. A new parameterization technique is presented for describing the parameter structure. It can represent various distributions of parameters from piecewise constant to continuous variability. Based on this representation, the combinatorial optimization problem for determining the parameter structure is then solved by a simple one‐at‐a‐time searching procedure. Numerical experimentations are used to demonstrate the efficiency and practicality of the proposed method.