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WATER RESOURCES RESEARCH, VOL. 29, NO. 9, PAGES 3241–3247, 1993

A Fast Fourier Transform Stochastic Analysis of the Contaminant Transport Problem

F.-W. Deng

School of Civil Engineering, Purdue University, West Lafayette, Indiana


J. H. Cushman

Department of Agronomy, Purdue University, West Lafayette, Indiana


J. W. Delleur

School of Civil Engineering, Purdue University, West Lafayette, Indiana


Abstract

A three-dimensional stochastic analysis of the contaminant transport problem is developed in the spirit of Naff (1990). The new derivation is more general and simpler than previous analysis. The fast Fourier transformation is used extensively to obtain numerical estimates of the mean concentration and various spatial moments. Data from both the Borden and Cape Cod experiments are used to test the methodology. Results are comparable to results obtained by other methods, and to the experiments themselves.

Received 26 October 1992; accepted 4 May 1993.

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Citation: Deng, F.-W., J. H. Cushman, and J. W. Delleur (1993), A Fast Fourier Transform Stochastic Analysis of the Contaminant Transport Problem, Water Resour. Res., 29(9), 3241–3247.