Geodesic
Numerical solution of exploration seismology problems in areas of fractures reservoirs
Matematičeskoe modelirovanie, Tome 28 (2016) no. 7, pp. 31-44.

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The aim of the paper is the study of diffracted waves from different fractures and their formations forming and propagation in exploration seismology problems. The results of elastic waves propagation in geological medium numerical simulation are represented in the paper. Numerical method is grid-characteristic method on triangular meshes with boundary conditions use on contact surfaces, fractures, boundaries of integration domain with taking into consideration characteristic properties of system of constitutive equations. This numerical method allows using computational algorithms on boundaries of integration domain and contact surfaces the most correctly, taking into consideration the physics of problem (propagation of waves by characteristics directions). The important problem at the moment is the study of different dimension fracturing. The evolution of different dimensional subvertical fractures is property of oil and gas sources in carbons and tight sandstones. The role of fractures in filtration properties of productive reservoirs is quite huge. That determines the importance of estimations of their space placement and characteristics. Special for responses from fractures modeling several models were developed. These models are the most optimal by duration of computations and closeness to real inhomogeneity.
Keywords: numerical simulation, grid-characteristic method, unstructured triangular meshes, exploration seismology, fractured media. 
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M. V. Muratov; I. B. Petrov; I. E. Kvasov. Numerical solution of exploration seismology problems in areas of fractures reservoirs. Matematičeskoe modelirovanie, Tome 28 (2016) no. 7, pp. 31-44. http://geodesic.mathdoc.fr/item/MM_2016_28_7_a2/

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