Analytical Solutions for Macrodispersion in a 3D Heterogeneous Porous Medium with Random Hydraulic Conductivity and Dispersivity

Chaudhuri, A and Sekhar, M (2005) Analytical Solutions for Macrodispersion in a 3D Heterogeneous Porous Medium with Random Hydraulic Conductivity and Dispersivity. In: Transport in Porous Media, 58 (3). pp. 217-241.

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Abstract

A stochastic analysis of macrodispersion for conservative solute transport in three dimension (3D) heterogeneous statistically isotropic and anisotropic porous media when both hydraulic conductivity and local dispersivity are random is presented. Analytical expressions of macrodispersivity are derived using Laplace and Fourier transforms. The effects of various parameters such as ratio of transverse to longitudinal local dispersivity, correlation length ratio, correlation coefficient and direction of flow on asymptotic macrodispersion are studied.The behaviour of growth of macrodispersivity in pre-asymptotic stage is also shown in this paper. The variation in local dispersion coefficient causes change in transverse macrodispersivity. The consideration of random dispersivity along with random hydraulic conductivity indicates that the total dispersion is affected and important in the case when the hydraulic conductivity and dispersivity are correlated. It is observed that the pre-asymptotic behavior of the macro dispersivity is not sensitive to the choice of spectral density functions.

Item Type:	Journal Article
Publication:	Transport in Porous Media
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	Macrodispersion;Stochastic analysis;Heterogeneity;Random dispersivity;Analytical solutions;Laplace and Fourier transform
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	20 Jun 2007
Last Modified:	19 Sep 2010 04:38
URI:	http://eprints.iisc.ac.in/id/eprint/11205

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