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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2012 Issue 3, Pages 17–21 (Mi izkab546)

MATHEMATICS. MATHEMATIC MODELING

Development of the method of averaging of elastic properties of geomaterials on the basis of theory of multifractal modeling

R. K. Khalkechev

Moscow State Mining University, 119991, Moscow, 6, Leninskiy prospect

Abstract: In the presented work the method of averaging of elastic properties of composite geomaterials with gas inclusions is developed. The given method is based on division of a considered geomaterial into the subsystems enclosed in each other and working out of mathematical models for each of them. The mathematical model of the last subsystem into which all remained are enclosed, will allow to define elastic properties of all composite geomaterial with gas inclusions.

Keywords: averaging method, elastic properties, composite geomaterial, gas inclusions, functional decomposition, structural mathematical model.

UDC: 004.942; 539.3; 549.08

Received: 08.02.2012



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