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Journal of Applied Mechanics and Technical Physics

2014 year, number 5

Frequency Dependence of the Effective Elastic Moduli of Cavernous Bodies

E. B. Sibiryakov
Trofimuk Institute of Petroleum Geology and Geophysics, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Keywords: boundary integral equation method in elasticity theory, cavernous medium, microstructure, pore structure, contrast media, block media


The dependence of the effective parameters of microheterogeneous media on the frequency and structure of the pore space is obtained using the boundary integral equation method. The potential method is first used to solve dynamic three-dimensional elastic problems in multiply connected domains in the case of stationary oscillations. It is shown that if the wavelength corresponds to a finite number of blocks, the effective elastic moduli decrease.