Abstract
The purpose of this article is to study the problem of the propagation of waves that result in earthquakes in different geological media: homogeneous, multilayer, gradient, with fractured layer, and karst cavern. The authors pose the problem of analyzing the impact of waves on ground structures: buildings and dams. Numerical solutions of problems of wave propagation in heterogeneous media are obtained. On the basis of the analysis of wave patterns, the types of waves propagated from the focus of the earthquake are qualified. The comparison of the impact of elastic waves on the day surface for the cases of different geological media is done. Synthetic seismograms for these media are obtained. The influence of elastic waves on the stability of ground structures is qualitatively examined. The grid-characteristic method for triangle meshes with the formulation of boundary conditions on interfaces of rock-crack, building-rock, rock-water, and dam-water, as well as free surfaces in an explicit form, is used in this paper.
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References
K. M. Magomedov and A. S. Kholodov, Grid-Characteristic Numerical Methods (Nauka, Moscow, 1988) [in Russian].
N. N. Puzyrev, Methods and Objects of Seismic Studies. Introduction into General Seismology (Izd-vo SO RAN, Novosibirsk, 1997) [in Russian].
N. V. Koronovskii and V. A. Abramov, “Earthquakes: Causes, Consequences, Prognosis,” Sorosovskii Obrazovatel’Nyi Zh., No. 12, 71–78 (1998).
L. I. Sedov, Mechanics of Continuous Medium, Vol. 1. (Nauka, Moscow, 1970) [in Russian].
V. K. Novatskii, Theory of Elasticity (Nauka, Moscow, 1975) [in Russian].
V. I. Kondaurov and V. E. Fortov, Fundamentals of Thermomechanics of Condensed Medium (MFTI, Moscow, 2002) [in Russian].
I. B. Petrov and A. S. Kholodov, “Numerical Study of Some Dynamical Problems Related to Mechanics of Deformed Solid Body Utilizing the Grid-Characteristic Method,” Zh. Vychisl. Mat. Mat. Fiz. 24, No. 5, 722–739 (1984).
I. A. Sanina, A. V. Shaumyan, and I. L. Gabsatarova, “Three-Dimensional Velocity Model of the North Caucasus Crust Based on Regional Observations,” in Problems of the Geospheres Interaction. Collection of Papers of the Institute of Geospheres Dynamics, Russian Academy of Sciences, (IDG RAN, Moscow, 2009), pp. 130–141 [in Russian].
I. B. Petrov, “Computation of Processes in Housing and Industrial Buildings when Plane Crushes,” Informatsionnye tekhnol. i vychislitel’nye sistemy, 2005, No. 1, pp. 130–139.
V. B. Levyant, I. B. Petrov, and F. B. Chelnokov, “Cluster Origin of Seismic Energy Scattered from the Zone of Diffuse Cavern Porosity and Cracking in Massive Rocks,” Geofizika, No. 6, 5–19 (2005).
I. E. Kvasov, I. B. Petrov, and F. B. Chelnokov, “Calculation of Wave Processes in Heterogeneous Spatial Constructions,” Mat. Model. 21, No. 5, 3–9 (2009).
I. E. Kvasov, S. A. Pankratov, and I. B. Petrov, “Numerical Simulation of Seismic Responses in Multilayer Geological Media Utilizing the Grid-Characteristic Method,” Mat. Model. 22, No 9, 13–22 (2010).
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Original Russian Text © V.I. Golubev, I.E. Kvasov, I.B. Petrov, 2011, published in Matematicheskoe Modelirovanie, 2011, Vol. 23, No. 8, pp. 46–54.
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Golubev, V.I., Kvasov, I.E. & Petrov, I.B. Influence of natural disasters on ground facilities. Math Models Comput Simul 4, 129–134 (2012). https://doi.org/10.1134/S2070048212020056
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DOI: https://doi.org/10.1134/S2070048212020056