Proceedings of the Centre for Mathematics and its Applications

Resolving the transmissivity zonation in a confined aquifer

R. S. Anderssen and S.-S. Chow

Full-text: Open access

Abstract

For aquifers having a zonation structure with the transmissivity varying smoothly and slowly over each zone, a common approach in determining transmissivity is to presume a known zonation structure and seek a constant approximation to the transmissivity over each zone. However, this procedure is not always acceptable as it may lead to instability in the estimation process.

In this paper, we discuss how one may simultaneously determine the zonation structure and a piecewise constant representation of the transmissivity by adapting the linear functional strategy proposed by Anderssen and Dietrich (1987). The implementation of this idea results in several adaptive and highly parallelizable procedures for the parameter identification problem. Some stability results and a generalization of the method using a Petrov-Galerkin interpretation are also described.

Article information

Source
Mini Conference on Inverse Problems in Partial Differential Equations. Amiya K Pani and Robert S. Anderssen, eds. Proceedings of the Centre for Mathematics and its Applications, v. 31. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1992), 247-261

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416323382

Mathematical Reviews number (MathSciNet)
MR1210777

Zentralblatt MATH identifier
0785.76078

Citation

Anderssen, R. S.; Chow, S.-S. Resolving the transmissivity zonation in a confined aquifer. Mini Conference on Inverse Problems in Partial Differential Equations, 247--261, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1992. https://projecteuclid.org/euclid.pcma/1416323382


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