Darcy velocity computations in the finite element method for multidimensional randomly heterogeneous porous media

Rajesh Srivastava; Mark L. Brusseau

doi:10.1016/0309-1708(95)00013-9

Darcy velocity computations in the finite element method for multidimensional randomly heterogeneous porous media

Rajesh Srivastava, Mark L. Brusseau

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

For numerical modeling of transport of contaminants through porous media, an accurate determination of the velocity field is a prerequisite. Some previous schemes of obtaining the Darcian velocity field through numerical solution of the flow equation result in a physically inconsistent velocity distribution in a heterogeneous medium. A scheme that is consistent with the physics of velocity variation near material interfaces is examined and compared with previous schemes. Numerical simulations are used to demonstrate the capability and accuracy of the proposed scheme for randomly heterogeneous porous media.

Original language	English (US)
Pages (from-to)	191-201
Number of pages	11
Journal	Advances in Water Resources
Volume	18
Issue number	4
DOIs	https://doi.org/10.1016/0309-1708(95)00013-9
State	Published - 1995

Keywords

Darcy velocity
heterogeneous porous media
material interface
numerical simulation

ASJC Scopus subject areas

Water Science and Technology

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10.1016/0309-1708(95)00013-9

Cite this

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title = "Darcy velocity computations in the finite element method for multidimensional randomly heterogeneous porous media",

abstract = "For numerical modeling of transport of contaminants through porous media, an accurate determination of the velocity field is a prerequisite. Some previous schemes of obtaining the Darcian velocity field through numerical solution of the flow equation result in a physically inconsistent velocity distribution in a heterogeneous medium. A scheme that is consistent with the physics of velocity variation near material interfaces is examined and compared with previous schemes. Numerical simulations are used to demonstrate the capability and accuracy of the proposed scheme for randomly heterogeneous porous media.",

keywords = "Darcy velocity, heterogeneous porous media, material interface, numerical simulation",

author = "Rajesh Srivastava and Brusseau, {Mark L.}",

note = "Funding Information: This study is funded in part by the DOE Env. Rest./ Waste Management Program and in part by the NIEHS Superfund Program.",

year = "1995",

doi = "10.1016/0309-1708(95)00013-9",

language = "English (US)",

volume = "18",

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journal = "Advances in Water Resources",

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T1 - Darcy velocity computations in the finite element method for multidimensional randomly heterogeneous porous media

AU - Srivastava, Rajesh

AU - Brusseau, Mark L.

N1 - Funding Information: This study is funded in part by the DOE Env. Rest./ Waste Management Program and in part by the NIEHS Superfund Program.

PY - 1995

Y1 - 1995

N2 - For numerical modeling of transport of contaminants through porous media, an accurate determination of the velocity field is a prerequisite. Some previous schemes of obtaining the Darcian velocity field through numerical solution of the flow equation result in a physically inconsistent velocity distribution in a heterogeneous medium. A scheme that is consistent with the physics of velocity variation near material interfaces is examined and compared with previous schemes. Numerical simulations are used to demonstrate the capability and accuracy of the proposed scheme for randomly heterogeneous porous media.

AB - For numerical modeling of transport of contaminants through porous media, an accurate determination of the velocity field is a prerequisite. Some previous schemes of obtaining the Darcian velocity field through numerical solution of the flow equation result in a physically inconsistent velocity distribution in a heterogeneous medium. A scheme that is consistent with the physics of velocity variation near material interfaces is examined and compared with previous schemes. Numerical simulations are used to demonstrate the capability and accuracy of the proposed scheme for randomly heterogeneous porous media.

KW - Darcy velocity

KW - heterogeneous porous media

KW - material interface

KW - numerical simulation

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VL - 18

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EP - 201

JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 4

ER -

Darcy velocity computations in the finite element method for multidimensional randomly heterogeneous porous media

Abstract

Keywords

ASJC Scopus subject areas

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