This article is cited in 8 scientific papers (total in 8 papers)
Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers
Abstract:
Seismic responses from fractured geological layers are mathematically simulated by applying the grid-characteristic method on unstructured tetrahedral meshes with the use of high-performance computer systems. The method is intended for computing complicated spatial dynamical processes in complex heterogeneous media and is characterized by exact formulation of contact conditions. As a result, it can be applied to the simulation of seismic exploration problems, including in regions with a large number of inhomogeneities, examples of which are fractured structures. The use of unstructured tetrahedral meshes makes it possible to specify geological cracks of various shapes and spatial orientations. As a result, problems are solved in a formulation maximally close to an actual situation. A cluster of computers is used to improve the accuracy of the computation by optimizing its duration.
Citation:
V. A. Biryukov, M. V. Muratov, I. B. Petrov, A. V. Sannikov, A. V. Favorskaya, “Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1762–1772; Comput. Math. Math. Phys., 55:10 (2015), 1733–1742
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https://www.mathnet.ru/eng/zvmmf10289
https://www.mathnet.ru/eng/zvmmf/v55/i10/p1762
This publication is cited in the following 8 articles:
Maksim V. Muratov, Tatiana N. Derbysheva, Smart Innovation, Systems and Technologies, 214, Smart Modelling For Engineering Systems, 2021, 115
I. B. Petrov, M. V. Muratov, “The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)”, Math. Models Comput. Simul., 11:6 (2019), 924–939
M. V. Muratov, I. B. Petrov, “Application of mathematical fracture models to simulation of exploration seismology problems by the grid-characteristic method”, Kompyuternye issledovaniya i modelirovanie, 11:6 (2019), 1077–1082
Igor B. Petrov, Alena V. Favorskaya, Margarita N. Favorskaya, Sergey S. Simakov, Lakhmi C. Jain, Smart Innovation, Systems and Technologies, 133, Smart Modeling for Engineering Systems, 2019, 3
M. V. Vesnik, “Physical Interpretation of Strict Solutions of Diffraction Problems by Heuristic Relations”, J Math Sci, 239:6 (2019), 751
Maksim V. Muratov, Igor B. Petrov, Smart Innovation, Systems and Technologies, 133, Smart Modeling for Engineering Systems, 2019, 120
A. V. Favorskaya, I. B. Petrov, “Study of seismic isolation by full-wave numerical modeling”, Dokl. Earth Sci., 481:2 (2018), 1070–1072
M. V. Vesnik, “Fizicheskaya interpretatsiya matematicheski strogogo resheniya zadachi difraktsii pri pomoschi evristicheskikh formul”, Trudy seminara po differentsialnym i funktsionalno-differentsialnym uravneniyam v RUDN pod rukovodstvom A. L. Skubachevskogo, SMFN, 62, RUDN, M., 2016, 32–52
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