Large-time behavior of macrodispersion in heterogeneous trending aquifers

Ching Min Chang*, Hund-Der Yeh

*Corresponding author for this work

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

This paper presents a stochastic analysis of the large-time behavior of macrodispersion in a three-dimensional heterogeneous aquifer with a linear trend in the mean log hydraulic conductivity. To solve the problem analytically, focus is placed on the particular case where the linear trend is aligned in the direction of mean hydraulic head gradient. A spectral approach based on Fourier-Stieltjes representations for the perturbed quantities is used to develop closed-form expressions that describe variability of flow velocity, the second-order mean flow, and asymptotic macrodispersion. The impact of the mean log hydraulic conductivity gradient on these results is examined. It is found that the asymptotic longitudinal and transverse macrodispersion coefficients decrease with the increasing trend gradient of mean log hydraulic conductivity in the case of finite Peclet numbers. This feature is a consequence of the reduction in variability of flow velocity with the trend gradient.

Original languageEnglish
Article numberW11501
JournalWater Resources Research
Volume43
Issue number11
DOIs
StatePublished - 1 Nov 2007

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