An investigation of the validity of first‐order stochastic dispersion theories in isotropie porous media

David A. Chin, Tiezheng Wang

Research output: Contribution to journalArticle

99 Scopus citations

Abstract

All Monte Carlo simulations are in three dimensions. Confidence limits of ensemble-averaged Monte Carlo results in isotropic porous media are established for 0.1≤σy≤1.5. These results showed that first-order theoretical estimates of the Eulerian velocity covariance function are quite accurate for σy<1; theoretical estimates of the non-Fickian longitudinal dispersivitiy do not deviate significantly from theory for at least σy≤1.5; theoretical estimation of the transverse dispersivity is limited to σy<1; and, the Fickian longitudinal dispersivity is overestimated by the theory of Gelhar and Axness. Of all first-order dispersion theories, the theory of Dagan is most robust in estimating the dispersivity tensor. -from Authors

Original languageEnglish (US)
Pages (from-to)1531-1542
Number of pages12
JournalWater Resources Research
Volume28
Issue number6
DOIs
StatePublished - Jun 1992
Externally publishedYes

ASJC Scopus subject areas

  • Water Science and Technology

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