Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers

Tian-Chyi J Yeh, S. Hanna

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An iterative coconditional Monte Carlo simulation method is developed to estimate coconditional means and variances of transmissivity (T) and head (φ) distributions based on some T and φ measurements in heterogeneous aquifers under steady state condition. This method uses the classical coconditional Monte Carlo simulation technique, and a successive linear estimator to produce realizations of random T and φ fields that preserve measurements of T and φ at sampling locations. In addition, it ensures these random fields to be consistent with the governing flow equation. As a result, the iterative coconditional Monte Carlo simulation method alleviates problems associated with the classical coconditional Monte Carlo simulation method by incorporating the nonlinear relationship between T and φ. The averages of all the coconditional realizations then yields the coconditional means of T and φ fields, and the variances around the means become coconditional variances of T and φ. These variances can be utilized as a measure of the reduction in estimation uncertainty due to T and φ observations.

Original languageEnglish (US)
Title of host publicationInternational Conference on Computational Methods in Water Resources, CMWR
PublisherComputational Mechanics Publ
Pages679-687
Number of pages9
Volume1
StatePublished - 1996
EventProceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2) - Cancun, Mex
Duration: Jul 1 1996Jul 1 1996

Other

OtherProceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2)
CityCancun, Mex
Period7/1/967/1/96

Fingerprint

Aquifers
Sampling
Monte Carlo simulation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Yeh, T-C. J., & Hanna, S. (1996). Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers. In International Conference on Computational Methods in Water Resources, CMWR (Vol. 1, pp. 679-687). Computational Mechanics Publ.

Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers. / Yeh, Tian-Chyi J; Hanna, S.

International Conference on Computational Methods in Water Resources, CMWR. Vol. 1 Computational Mechanics Publ, 1996. p. 679-687.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yeh, T-CJ & Hanna, S 1996, Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers. in International Conference on Computational Methods in Water Resources, CMWR. vol. 1, Computational Mechanics Publ, pp. 679-687, Proceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2), Cancun, Mex, 7/1/96.
Yeh T-CJ, Hanna S. Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers. In International Conference on Computational Methods in Water Resources, CMWR. Vol. 1. Computational Mechanics Publ. 1996. p. 679-687
Yeh, Tian-Chyi J ; Hanna, S. / Iterative coconditional Monte Carlo simulation method for steady-state flow in aquifers. International Conference on Computational Methods in Water Resources, CMWR. Vol. 1 Computational Mechanics Publ, 1996. pp. 679-687
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