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Aquifer Parameter Identification
This paper presents an analysis of the inverse problem of parameter (or parameters) identification in unsteady ground-water flow. The response of the system is governed by a typical nonlinear second-order partial differential equation for which there exists no closed-form solution. Identification is an inverse process whereby the parameters embedded in a differential equation are determined from observations of the system's input and output along with appropriate initial and boundary conditions. These parameters are usually not physically measurable. In this paper, a simple but illustrative inverse problem is analyzed by quasilinearization, maximum principle, gradient method, the influence coefficient method, and linear programming. A comparison is made between these methods. The problem of convergence and stability is examined and demonstrated by numerical experimentation.
Aquifer Parameter Identification
This paper presents an analysis of the inverse problem of parameter (or parameters) identification in unsteady ground-water flow. The response of the system is governed by a typical nonlinear second-order partial differential equation for which there exists no closed-form solution. Identification is an inverse process whereby the parameters embedded in a differential equation are determined from observations of the system's input and output along with appropriate initial and boundary conditions. These parameters are usually not physically measurable. In this paper, a simple but illustrative inverse problem is analyzed by quasilinearization, maximum principle, gradient method, the influence coefficient method, and linear programming. A comparison is made between these methods. The problem of convergence and stability is examined and demonstrated by numerical experimentation.
Aquifer Parameter Identification
Yeh, William Wen-Gong (author)
Journal of the Hydraulics Division ; 101 ; 1197-1209
2021-01-01
131975-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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