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Numerical study of dynamic processes in a continuous medium with a crack initiated by a near-surface disturbance by means of the grid-characteristic method

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Abstract

The purpose of this work is to study the problem of the near-surface disturbance propagation in a massive rock containing various heterogeneities, i.e., empty or filled cracks. Numerical solutions have been obtained for problems of wave propagation in such highly heterogeneous media, including those taking into account the plastic properties of the rock that can be manifested in the vicinity of a seismic gap or a well bore. All kinds of elastic and elastoplastic waves are analyzed resulting from the propagation of the initial disturbance and the waves arising from the reflection from the cracks and from the boundaries of the integration domain. An investigation was carried out of wave identification by means of seismograms obtained at the receiver located near the ground surface. In this study, the grid-characteristic method is employed using computational grids with triangular meshes and boundary conditions formulated at the interface between the rock and the crack, and on free surfaces in an explicit form. The proposed numerical method is extremely general and is suitable for investigations of the processes of seismic waves’ interaction with heterogeneous inclusions because it ensures the construction of the most correct computational algorithms at the boundaries of the integration domain and at the medium’s interface.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Moscow, Russia

    I. E. Kvasov, S. A. Pankratov & I. B. Petrov

Authors
  1. I. E. Kvasov
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  2. S. A. Pankratov
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  3. I. B. Petrov
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Correspondence to I. E. Kvasov.

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Original Russian Text © I.E. Kvasov, S.A. Pankratov, I.B. Petrov, 2010, published in Matematicheskoe Modelirovanie, 2010, Vol. 22, No. 11, pp. 109–122.

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Kvasov, I.E., Pankratov, S.A. & Petrov, I.B. Numerical study of dynamic processes in a continuous medium with a crack initiated by a near-surface disturbance by means of the grid-characteristic method. Math Models Comput Simul 3, 399–409 (2011). https://doi.org/10.1134/S2070048211030070

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  • DOI: https://doi.org/10.1134/S2070048211030070

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