1887

Abstract

Summary

A new method for modeling acoustic monitoring of a layered-block elastic medium with composite inclusions of various physical-mechanical hierarchical structures was developed. An iterative process for solving the direct problem is developed for the case of two hierarchical inclusions of l, m-ranks based on the use of 2D integro differential equations. The degree of hierarchy of inclusions is determined by the values of their ranks, which can be different. Hierarchical inclusions are located in different layers above each other: the upper is anomalously plastic, the second is anomalously dense. The degree of filling inclusions of each rank for all three hierarchical inclusions is different. The results of the simulation can be used to provide monitoring studies of the stability of the rock massif during its development by mass explosions followed by rocks laying.

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/content/papers/10.3997/2214-4609.201801793
2018-05-14
2024-04-18
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References

  1. Hachay, O. and KhachayA.
    [2011] On the integration of seismic and electromagnetic active methods for mapping and monitoring the state of two-dimensional heterogeneities in an N-layer medium. Bulletin of SSSU. A series of “Computer technologies, management, radio electronics”. 2 (219), 49–56, [in Russian].
    [Google Scholar]
  2. Hachay, O. and Khachay, A.
    [2013] Modeling of electromagnetic and seismic field in hierarchical heterogeneous media. Bulletin YuURGU, Computational Mathematics and Informatics, 2(2), 48–55, [in Russian].
    [Google Scholar]
  3. Hachay, O., KhachayO. and KhachayA.
    [2017] Integration of acoustic, gravitational, and geomechanical fields in hierarchical environments. Mining Information and Analytical Bulletin, 4, 328–336 [in Russian].
    [Google Scholar]
  4. Khachay, A.
    [2006a] Algorithm for solving the direct dynamic seismic problem when excited by a horizontal point force located in an arbitrary layer of an n-layer elastic isotropic medium. Informatics and mathematical modeling. Ekaterinburg, 170–278 [in Russian].
    [Google Scholar]
  5. [2006b] Algorithm for solving a direct dynamic seismic problem when excited by a point source of a vertical force located in an arbitrary layer of an n-layer elastic isotropic medium. Informatics and mathematical modeling. Ekaterinburg, 279–310 [in Russian].
    [Google Scholar]
  6. Hachay, O. and KhachayA.
    [2016] Modeling the propagation of a seismic field in a layer-block elastic medium with hierarchical plastic inclusions. Mining Information and Analytical Bulletin, 12, 318–326 [in Russian].
    [Google Scholar]
  7. Kolsky, G.
    [1955] Waves of stress in solids. Moscow. Edition of foreign literature [in Russian].
    [Google Scholar]
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