CONSTRUCTING CONTINUOS MODEL OF HIERARCHICAL BLOCK GEOMEDIUM
M.A. Guzev1, V.N. Odintsev2, V.V. Makarov3
1Institute of Applied Mathematics of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
2Institute of Comprehensive Exploitation of Mineral Resources Russian Academy of Sciences, Moscow, Russia
3Far Eastern Federal University, Vladivostok, Russia
Keywords: Geomechanics, mesostructure, high-ratio compression, separation crack, non-Euclidean model, rocks, principles
Abstract
The problem of constructing a continuous model of hierarchical block geomedium is considered. The basic structural element providing the geomedium structuring is determined, and transition from a hierarchical block to a hierarchical structured medium is discussed. The introduction of four structural levels is sufficient for modeling the geomedium within the Earth’s crust. To describe the fractured structures, a non-Euclidean model of the continuous medium is applied, which considers the violation of deformation compatibility conditions. An algorithm for the transition to a continual description of such structures is presented and nonsingular solutions for a plane-stressed field are constructed. The performed analysis showed that this approach requires hierarchical non-Euclidicity and monolithic block principles.
|
