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 journalArticle

30 Citations (Scopus)


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 languageEnglish
Pages (from-to)45-50
Number of pages6
JournalComputational Materials Science
Issue number1
Publication statusPublished - 1 Nov 2006
Externally publishedYes



  • Anisotropy
  • Correlation function
  • Effective conductivity
  • Heterogeneous
  • Statistical continuum

ASJC Scopus subject areas

  • Materials Science(all)

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