Abstract:
In this paper we describe the stages and results of the investigation of the features of oilsaturated fracturing zones by applying the analysis of spatial dynamical wave patterns, obtained as a result of supercomputer modeling by the grid-characteristic method. Fullwave modeling is used in geophysics to construct synthetic seismograms and as part of solving inverse problems. In this paper we demonstrate that it is possible to derive conclusions that can later be useful in carrying out geophysical studies by analyzing the calculated spatial dynamic wave patterns. The proposed approach of wave patterns analyzing simplifies the study of the dynamics of different wave types in comparison with the methods of analyzing and interpreting the seismograms, and is more accurate than the ray-tracing method and the geometric approximation. Three types of fractured clusters are considered: "Solid", "Intermittent" and "Chess". As a result of the research, characteristic regularities were obtained, for example, the dependence of the angle of scattering seismic waves on the frequency used and on the geometrical features of location of the fractures into the clusters and the dependence on the source frequency of the trajectory and the velocity of motion of the point of separation of the longitudinal head wave from the S-wave. These regularities can subsequently be adapted to optimize the process of seismic prospecting of hydrocarbons and fractured zones investigation, for example, for the selection of the optimal equipment and the method of seismic survey. Also, we discuss the importance of studying of the spatial dynamic wave patterns when developing and testing of numerical methods, interface and boundary conditions, including the absorbing ones. Also, we propose the approach to construct a nonlinear scale that allows simultaneous analysis of spatial dynamic wave processes whose amplitudes differ by more than 20 times.
Citation:
A. V. Favorskaya, I. B. Petrov, “The use of full-wave numerical simulation for the investigation of fractured zones”, Mat. Model., 30:11 (2018), 105–126; Math. Models Comput. Simul., 11:4 (2019), 518–530
\Bibitem{FavPet18}
\by A.~V.~Favorskaya, I.~B.~Petrov
\paper The use of full-wave numerical simulation for the investigation of fractured zones
\jour Mat. Model.
\yr 2018
\vol 30
\issue 11
\pages 105--126
\mathnet{http://mi.mathnet.ru/mm4021}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 4
\pages 518--530
\crossref{https://doi.org/10.1134/S2070048219040069}
Linking options:
https://www.mathnet.ru/eng/mm4021
https://www.mathnet.ru/eng/mm/v30/i11/p105
This publication is cited in the following 16 articles:
I. A. Mitkovets, N. I. Khokhlov, “Grid-characteristic method using superimposed grids in the problem of seismic exploration of fractured geological media”, CMIT, 7:3 (2023), 28
E. A. Pesnya, A. V. Favorskaya, A. A. Kozhemyachenko, “Implicit Hybrid Grid-Characteristic Method for Modeling Dynamic Processes in Acoustic Medium”, Lobachevskii J Math, 43:4 (2022), 1032
A. A. Kozhemyachenko, I. B. Petrov, A. V. Favorskaya, “Calculation of the stress state of a railway track with unsupported sleepers using the grid-characteristic method”, J. Appl. Mech. Tech. Phys., 62:2 (2021), 344–350
Evgeniy Pesnya, Anton A. Kozhemyachenko, Alena V. Favorskaya, Smart Innovation, Systems and Technologies, 238, Intelligent Decision Technologies, 2021, 151
Alena V. Favorskaya, Smart Innovation, Systems and Technologies, 214, Smart Modelling For Engineering Systems, 2021, 249
I. B. Petrov, A. V. Favorskaya, “Computation of seismic resistance of an ice island by the grid-characteristic method on combined grids”, Comput. Math. Math. Phys., 61:8 (2021), 1339–1352
Anton A. Kozhemyachenko, Anastasia S. Kabanova, Igor B. Petrov, Alena V. Favorskaya, Smart Innovation, Systems and Technologies, 214, Smart Modelling For Engineering Systems, 2021, 165
A. Favorskaya, I. Petrov, “A novel method for investigation of acoustic and elastic wave phenomena using numerical experiments”, Theor. Appl. Mech. Lett., 10:5 (2020), 307–314
A. V. Favorskaya, N. I. Khokhlov, I. B. Petrov, “Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape”, Lobachevskii J. Math., 41:4, SI (2020), 512–525
Alena V. Favorskaya, Smart Innovation, Systems and Technologies, 173, Advances in Theory and Practice of Computational Mechanics, 2020, 213
A. A. Kozhemyachenko, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Boundary conditions for modeling the impact of wheels on railway track”, Comput. Math. Math. Phys., 60:9 (2020), 1539–1554
Alena V. Favorskaya, Vasily I. Golubev, “Elastic and acoustic approximations for solving direct problems of human head ultrasonic study”, Procedia Computer Science, 176 (2020), 2566
Alena Favorskaya, Nikolay Khokhlov, Smart Innovation, Systems and Technologies, 193, Intelligent Decision Technologies, 2020, 201
Alena V. Favorskaya, Nikolay I. Khokhlov, “Types of elastic and acoustic wave phenomena scattered on gas- and fluid-filled fractures”, Procedia Computer Science, 176 (2020), 2556
Alena V. Favorskaya, “Fall of shock wave from a supersonic aircraft into the geological media”, Procedia Computer Science, 176 (2020), 2546
P. Stognii, I. Petrov, A. Favorskaya, “The influence of the ice field on the seismic exploration in the arctic region”, Knowledge-Based and Intelligent Information & Engineering Systems (Kes 2019), Procedia Computer Science, 159, eds. I. Rudas, C. Janos, C. Toro, J. Botzheim, R. Howlett, L. Jain, Elsevier, 2019, 870–877