 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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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 2019 | Revised |
11 March 2020 | Accepted |
26 March 2020 |
| Link to Fulltext |
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