A general method for obtaining analytical expression for the first-order velocity covariance in heterogeneous porous media

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11 Citations (Scopus)

Abstract

Velocity covariance of seepage flow is the essential quantity in understanding the uncertainty of groundwater flow and contaminant transport in heterogeneous porous media. Nevertheless, a closed-form analytical expression is available only for first-order analysis. These available expressions are limited to some specific correlation functions of natural log hydraulic conductivity. The present paper develops a general method for obtaining the first-order velocity covariance for any statistically isotropic log-hydraulic conductivity correlation function. The general analytical expressions are derived for both two and three dimensions. The results are demonstrated for several frequently used correlation functions.

Original languageEnglish
Pages (from-to)2273-2277
Number of pages5
JournalWater Resources Research
Volume35
Issue number7
DOIs
Publication statusPublished - 1999 Jan 1

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

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