Moment differential equations for flow in highly heterogeneous porous media

C. L. Winter; D. M. Tartakovsky; A. Guadagnini

doi:10.1023/A:1022277418570

Moment differential equations for flow in highly heterogeneous porous media

C. L. Winter, D. M. Tartakovsky, A. Guadagnini

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

87 Scopus citations

Abstract

Quantitative descriptions of flow and transport in subsurface environments are often hampered by uncertainty in the input parameters. Treating such parameters as random fields represents a useful tool for dealing with uncertainty. We review the state of the art of stochastic description of hydrogeology with an emphasis on statistically inhomogeneous (nonstationary) models. Our focus is on composite media models that allow one to estimate uncertainties both in geometrical structure of geological media consisting of various materials and in physical properties of these materials.

Original language	English (US)
Pages (from-to)	81-106
Number of pages	26
Journal	Surveys in Geophysics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1023/A:1022277418570
State	Published - 2003
Externally published	Yes

Keywords

Composite media
Nonstationary
Statistical
Statistically inhomogeneous
Stochastic

ASJC Scopus subject areas

Geophysics
Geochemistry and Petrology

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10.1023/A:1022277418570

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title = "Moment differential equations for flow in highly heterogeneous porous media",

abstract = "Quantitative descriptions of flow and transport in subsurface environments are often hampered by uncertainty in the input parameters. Treating such parameters as random fields represents a useful tool for dealing with uncertainty. We review the state of the art of stochastic description of hydrogeology with an emphasis on statistically inhomogeneous (nonstationary) models. Our focus is on composite media models that allow one to estimate uncertainties both in geometrical structure of geological media consisting of various materials and in physical properties of these materials.",

keywords = "Composite media, Nonstationary, Statistical, Statistically inhomogeneous, Stochastic",

author = "Winter, {C. L.} and Tartakovsky, {D. M.} and A. Guadagnini",

note = "Funding Information: This work was performed under the auspices of the U.S. Department of Energy (DOE), DOE/BES (Bureau of Energy Sciences) Program in the Applied Mathematical Sciences Contract KC-07-01-01. The authors would like to acknowledge partial support from Italian CNR Short-Term Mobility Program, year 2000. We are grateful to the anonymous reviewer for thoughtful comments.",

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doi = "10.1023/A:1022277418570",

language = "English (US)",

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T1 - Moment differential equations for flow in highly heterogeneous porous media

AU - Winter, C. L.

AU - Tartakovsky, D. M.

AU - Guadagnini, A.

N1 - Funding Information: This work was performed under the auspices of the U.S. Department of Energy (DOE), DOE/BES (Bureau of Energy Sciences) Program in the Applied Mathematical Sciences Contract KC-07-01-01. The authors would like to acknowledge partial support from Italian CNR Short-Term Mobility Program, year 2000. We are grateful to the anonymous reviewer for thoughtful comments.

PY - 2003

Y1 - 2003

N2 - Quantitative descriptions of flow and transport in subsurface environments are often hampered by uncertainty in the input parameters. Treating such parameters as random fields represents a useful tool for dealing with uncertainty. We review the state of the art of stochastic description of hydrogeology with an emphasis on statistically inhomogeneous (nonstationary) models. Our focus is on composite media models that allow one to estimate uncertainties both in geometrical structure of geological media consisting of various materials and in physical properties of these materials.

AB - Quantitative descriptions of flow and transport in subsurface environments are often hampered by uncertainty in the input parameters. Treating such parameters as random fields represents a useful tool for dealing with uncertainty. We review the state of the art of stochastic description of hydrogeology with an emphasis on statistically inhomogeneous (nonstationary) models. Our focus is on composite media models that allow one to estimate uncertainties both in geometrical structure of geological media consisting of various materials and in physical properties of these materials.

KW - Composite media

KW - Nonstationary

KW - Statistical

KW - Statistically inhomogeneous

KW - Stochastic

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Moment differential equations for flow in highly heterogeneous porous media

Abstract

Keywords

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