Mathematical simulation of acoustic wave scattering in fractured media |
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Authors: | A V Baev |
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Institution: | 1. Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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Abstract: | The simulation of acoustic waves in fractured media is considered. A self-consistent field model is proposed that describes the formation of a scattered field and the attenuation of the incident field. For the total field, a wave equation with a complex velocity is derived and the corresponding dispersion equation is studied. A frequency-dependent field damping law and an energy variation law are established. An initial and a boundary value problem for waves in a fractured medium is addressed. A finite-difference scheme for the initial value problem is constructed, and a condition for its stability is established. Numerical results are presented. |
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