Modelling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid‐characteristic method |
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| Authors: | Alena V Favorskaya Michael S Zhdanov Nikolay I Khokhlov Igor B Petrov |
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| Institution: | 1. Laboratory of Computational Geophysics, Moscow Institute of Physics and Technology, Moscow 141700, Russia;2. Department of Computational Mathematics, Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russian Federation;3. Department of Geology and Geophysics, University of Utah, Salt Lake City, UT 84112, USA;4. TechnoImaging, Salt Lake City, UT, USA |
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| Abstract: | This paper introduces a novel method of modelling acoustic and elastic wave propagation in inhomogeneous media with sharp variations of physical properties based on the recently developed grid‐characteristic method which considers different types of waves generated in inhomogeneous linear‐elastic media (e.g., longitudinal, transverse, Stoneley, Rayleigh, scattered PP‐, SS‐waves, and converted PS‐ and SP‐waves). In the framework of this method, the problem of solving acoustic or elastic wave equations is reduced to the interpolation of the solutions, determined at earlier time, thus avoiding a direct solution of the large systems of linear equations required by the FD or FE methods. We apply the grid‐characteristic method to compare wave phenomena computed using the acoustic and elastic wave equations in geological medium containing a hydrocarbon reservoir or a fracture zone. The results of this study demonstrate that the developed algorithm can be used as an effective technique for modelling wave phenomena in the models containing hydrocarbon reservoir and/or the fracture zones, which are important targets of seismic exploration. |
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| Keywords: | Acoustics Elastics Wave phenomena Modelling Fracture zone |
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