Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions

D. S. Li; G. Saheli; M. Khaleel; H. Garmestani

doi:10.1016/j.commatsci.2006.01.004

Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions

D. S. Li, G. Saheli, M. Khaleel, H. Garmestani

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

34 Scopus citations

Abstract

Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the anisotropic media without making any assumption on the microstructure. Examples in this study demonstrated how the model captured the anisotropy in effective conductivity of the random heterogeneous media. Predicted results showed the influence of microstructure on the effective conductivity tensor.

Original language	English
Pages (from-to)	45-50
Number of pages	6
Journal	Computational Materials Science
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/j.commatsci.2006.01.004
State	Published - Nov 2006
Externally published	Yes

Funding

The authors would like to acknowledge the support provided by Battelle-Pacific Northwest National Lab with Grant #1806C44.

Funders	Funder number
Battelle-Pacific Northwest National Lab	1806C44

Keywords

Anisotropy
Correlation function
Effective conductivity
Heterogeneous
Statistical continuum

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10.1016/j.commatsci.2006.01.004

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abstract = "Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the anisotropic media without making any assumption on the microstructure. Examples in this study demonstrated how the model captured the anisotropy in effective conductivity of the random heterogeneous media. Predicted results showed the influence of microstructure on the effective conductivity tensor.",

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AU - Saheli, G.

AU - Khaleel, M.

AU - Garmestani, H.

PY - 2006/11

Y1 - 2006/11

N2 - Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the anisotropic media without making any assumption on the microstructure. Examples in this study demonstrated how the model captured the anisotropy in effective conductivity of the random heterogeneous media. Predicted results showed the influence of microstructure on the effective conductivity tensor.

AB - Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the anisotropic media without making any assumption on the microstructure. Examples in this study demonstrated how the model captured the anisotropy in effective conductivity of the random heterogeneous media. Predicted results showed the influence of microstructure on the effective conductivity tensor.

KW - Anisotropy

KW - Correlation function

KW - Effective conductivity

KW - Heterogeneous

KW - Statistical continuum

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ER -

Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions

Abstract

Funding

Keywords

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