Diagram technique method for calculation of effective physical parameters of microinhomogeneous media

Evgeni M. Chesnokov; Yuri A. Kukharenko; Peter Yu. Kukharenko

doi:10.1117/12.218490

1 September 1995 Diagram technique method for calculation of effective physical parameters of microinhomogeneous media

Evgeni M. Chesnokov, Yuri A. Kukharenko, Peter Yu. Kukharenko

Proceedings Volume 2571, Mathematical Methods in Geophysical Imaging III; (1995) https://doi.org/10.1117/12.218490
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

For microhomogeneous media with inclusions the problem of construction of macroscopic equations is solved using diagram technique. Distribution of inclusions in a medium is considered as an arbitrary stochastic tensor field of macroscopic elastic modules, which are defined by correlation functions of an arbitrary order. The exact expression of an effective tensor of elastic modules is deduced using mass operator. The calculation of Green functions, mass operator and effective elastic tensor for media with inclusions is carried out in a frame of correlation approximation. The existence of elastic anisotropy due to an order in location of pores in a space is shown. Numerical estimations of influence of space distribution of inclusions on a coefficient of effective elastic anisotropy are obtained.

Citation Download Citation

Evgeni M. Chesnokov, Yuri A. Kukharenko, and Peter Yu. Kukharenko "Diagram technique method for calculation of effective physical parameters of microinhomogeneous media", Proc. SPIE 2571, Mathematical Methods in Geophysical Imaging III, (1 September 1995); https://doi.org/10.1117/12.218490

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