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

November 1, 2006

Journal Article

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

Abstract

Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correction 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-oint 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 conductivty of the randome heterogeneous media. Predicted results showed the influence of microstructure of the effective conductivity tensor.

Revised: November 8, 2006 | Published: November 1, 2006

Citation

Li D., G. Saheli, M.A. Khaleel, and H. Garmestani. 2006. Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions. Computational Materials Science 38, no. 1:45-50. PNNL-SA-52400.