On numerical simulation of flow through heterogeneous formations

G. Dagan, P. Indelman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The conductivity of heterogeneous natural formations is modeled as a random space function (RSF). Consequently, the continuity equation and Darcy's Law become stochastic partial differential equations. Their solution by Monte Carlo simulations implies a partition of the flow domain in discrete blocks of random properties. The main aim of the study is to develop a methodology to derive the statistical moments of blocks conductivity as function of the given moments of the point values of conductivity and of the block size. The approach is similar to the one leading to effective conductivity, which is indeed a particular case for large block size. The general approach is illustrated for one-dimensional flow, which is solved exactly and by first-order perturbation expansion in the logconductivity variance.

Original languageEnglish
Title of host publicationComputational Methods in Subsurface Hydrology
EditorsG. Gambolati, A. Rinaldo, C.A. Brebbia, W.G. Gray, G.F. Pinder
PublisherPubl by Springer-Verlag Berlin
Pages445-454
Number of pages10
ISBN (Print)038752701X
StatePublished - 1990
EventProceedings of the 8th International Conference on Computational Methods in Water Resources - Venice, Italy
Duration: 11 Jun 199015 Jun 1990

Publication series

NameComputational Methods in Subsurface Hydrology

Conference

ConferenceProceedings of the 8th International Conference on Computational Methods in Water Resources
CityVenice, Italy
Period11/06/9015/06/90

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