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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-8pp.1363-1371

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Stognii P.V., Khokhlov N.I., and Petrov I.B., "Schoenberg’s Model-Based Simulation of Wave Propagation in Fractured Geological Media," Mech. Solids. 55 (8), 1363-1371 (2020)
Year 2020 Volume 55 Number 8 Pages 1363-1371
DOI 10.3103/S0025654420080282
Title Schoenberg’s Model-Based Simulation of Wave Propagation in Fractured Geological Media
Author(s) Stognii P.V. (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141701 Russia, stognii@phystech.edu)
Khokhlov N.I. (Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow 117218 Russia, k_h@inbox.ru)
Petrov I.B. (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141701 Russia; Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141701 Russia, petrov@mipt.ru)
Abstract Schoenberg’s mathematical model of fractured geological media has been widely used in studies related to seismic exploration of oil fields. This paper proposes to use this model for computing wave processes in geological media by the grid-characteristic method. In that case, the sought-for functions are components of the velocity vector and stress tensor in the vicinity of the fracture, the values of which are determined at grid points. We simulated seismic pulse propagation through a homogeneous elastic medium with a fracture in the case that the wave front is totally reflected from the fracture edge. We used the grid-characteristic method in simulating wave fields with Schoenberg’s and two-edge fracture models. It is found that the models produce broadly similar results.
Keywords seismic exploration, Schoenberg fractures, grid-characteristic method
Received 29 November 2019Revised 11 March 2020Accepted 26 March 2020
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