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

Research output: Contribution to journalArticle

10 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

Fingerprint Dive into the research topics of 'A general method for obtaining analytical expression for the first-order velocity covariance in heterogeneous porous media'. Together they form a unique fingerprint.

Cite this