×

On the recovery of transport parameters in groundwater modelling. (English) Zbl 1044.86009

Summary: The problem of recovering the coefficient functions in the groundwater transport equation from piezometric head and contaminant concentration measurements is solved by minimization of an associated convex functional.

MSC:

86A22 Inverse problems in geophysics
35R30 Inverse problems for PDEs
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
86A05 Hydrology, hydrography, oceanography

Software:

PVM; PDETWO
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] M.P. Anderson, Aquifer heterogeneity—a geological perspective, in: Parameter Identification and Estimation for Aquifer and Reservoir Characterization, National Water Well Association, Columbus, OH, 1991, pp. 3-22.; M.P. Anderson, Aquifer heterogeneity—a geological perspective, in: Parameter Identification and Estimation for Aquifer and Reservoir Characterization, National Water Well Association, Columbus, OH, 1991, pp. 3-22.
[2] Bear, J., Dynamics of Fluids in Porous Media (1972), American Elsevier: American Elsevier New York · Zbl 1191.76001
[3] Bear, J.; Verruijt, A., Modeling Groundwater Flow and Pollution (1992), D. Reidel Publishing Co: D. Reidel Publishing Co Dordrecht
[4] A. Beguelin, J. Dongarra, G.A. Geist, R. Manchek, V. Sunderam, A user’s guide to PVM: parallel virtual machine, Technical Report TM-11826, Oak Ridge National Laboratories, Oak Ridge, TN, 1991.; A. Beguelin, J. Dongarra, G.A. Geist, R. Manchek, V. Sunderam, A user’s guide to PVM: parallel virtual machine, Technical Report TM-11826, Oak Ridge National Laboratories, Oak Ridge, TN, 1991. · Zbl 0849.68032
[5] Desbarats, A. J., Macrodispersion in sand-shale sequences, Water Resour. Res., 26, 1, 153-164 (1990)
[6] Knowles, I.; Yan, A., The recovery of an anisotropic conductivity in groundwater modeling, Appl. Anal., 81, 6, 1347-1365 (2002) · Zbl 1033.35139
[7] T.A. Le, An inverse problem in groundwater modeling, Ph.D. Thesis, University of Alabama at Birmingham, 2000.; T.A. Le, An inverse problem in groundwater modeling, Ph.D. Thesis, University of Alabama at Birmingham, 2000.
[8] Melgaard, D.; Sincovec, R. F., General software for two-dimensional nonlinear partial differential equations, ACM Trans. Math. Software, 7, 1, 106-125 (1981) · Zbl 0455.65080
[9] W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical recipes in Fortran 90, Fortran Numerical Recipes, Vol. 2, 2nd Edition, Cambridge University Press, Cambridge, 1996. The art of parallel scientific computing, With a foreword by Michael Metcalf, With separately available software.; W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical recipes in Fortran 90, Fortran Numerical Recipes, Vol. 2, 2nd Edition, Cambridge University Press, Cambridge, 1996. The art of parallel scientific computing, With a foreword by Michael Metcalf, With separately available software. · Zbl 0892.65001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.