Geodesic
Mathematical simulation of acoustic wave scattering in fractured media
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 9, pp. 1676-1693 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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A. V. Baev. Mathematical simulation of acoustic wave scattering in fractured media. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 9, pp. 1676-1693. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_9_a9/

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