Analytical expressions for macrodispersion coefficients in three-dimensional randomly heterogeneous porous media

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The dispersion coefficient is a fundamental parameter in modeling solute transport and can be determined from the particle displacement covariance. Closed-form analytical expressions for the particle displacement covariance and macrodispersion coefficient for solute transport in three dimensional heterogeneous porous media are only available in first order for a few correlation models of log-hydraulic conductivity. The methods used to obtain the analytical expressions usually require a specific correlation function of natural-log hydraulic conductivity. Adapting the methodology proposed by Hsu (2002) for obtaining macrodispersion coefficients in two dimensional statistical heterogeneous porous media, we extend the method to three dimensions. These expressions are analytical and include only the correlation function of natural-log hydraulic conductivity. They are valid for any statistically isotro-pic log-hydraulic conductivity correlation function for which the resulting integrals converge.

Original languageEnglish
Pages (from-to)375-380
Number of pages6
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume26
Issue number3
DOIs
Publication statusPublished - 2003

All Science Journal Classification (ASJC) codes

  • General Engineering

Fingerprint

Dive into the research topics of 'Analytical expressions for macrodispersion coefficients in three-dimensional randomly heterogeneous porous media'. Together they form a unique fingerprint.

Cite this