This article is cited in 1 scientific paper (total in 1 paper)
Seismic imaging of fractured elastic media on the basis of the grid-characteristic method
V. I. Golubevab, O. Ya. Voinova, I. B. Petrovab
a Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
b Scientific Research Institute for System Analysis, Federal Research Center, Russian Academy of Sciences, Moscow, Russia
Wave processes occurring in a fractured rock material in seismic exploration are numerically simulated and studied. The grid-characteristic method on hexahedral grids is extended to construct a seismic image of a fractured elastic medium (i.e., the positions of the reflecting layers under the daytime surface). The underlying idea is that the method is applied to both direct and adjoint problems (in the latter problem, seismometer data recorded on the daytime surface are transformed into corresponding seismic sources). In this case, a seismic image is obtained as the convolution of the direct and adjoint fields. Numerical computations are used to produce synthetic seismograms (time dependences of point oscillations on the daytime surface) for rock materials with gas-saturated and liquid-saturated cracks. The inhomogeneities are explicitly described (at the stage of hexahedral grid generation) and the stressed state on their boundaries is updated at every time step (by solving a contact discontinuity problem). The algorithm is used to construct seismic images for media. An analysis of the results yields information not only on the locations of the cracks, but also on their spatial orientations.
hyperbolic equations, grid-characteristic method, mathematical simulation, seismic exploration, seismic imaging, fractured media.
Computational Mathematics and Mathematical Physics, 2018, 58:8, 1309–1315
V. I. Golubev, O. Ya. Voinov, I. B. Petrov, “Seismic imaging of fractured elastic media on the basis of the grid-characteristic method”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 113–119; Comput. Math. Math. Phys., 58:8 (2018), 1309–1315
Citation in format AMSBIB
\by V.~I.~Golubev, O.~Ya.~Voinov, I.~B.~Petrov
\paper Seismic imaging of fractured elastic media on the basis of the grid-characteristic method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Raznostnaya skhema dlya resheniya zadach gidrodinamiki pri bolshikh setochnykh chislakh Pekle”, Kompyuternye issledovaniya i modelirovanie, 11:5 (2019), 833–848
|Number of views:|