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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 9, Pages 1676–1693 (Mi zvmmf9738)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical simulation of acoustic wave scattering in fractured media

A. V. Baev

Faculty of Physics, Moscow State University, Moscow, 119992 Russia
Full-text PDF (286 kB) Citations (2)
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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.
Key words: acoustic waves, fractured media, self-consistent field, wave equation, dispersion equation, finite-difference scheme.
Received: 15.12.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 9, Pages 1304–1320
DOI: https://doi.org/10.1134/S096554251206005X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Baev, “Mathematical simulation of acoustic wave scattering in fractured media”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012), 1676–1693; Comput. Math. Math. Phys., 52:9 (2012), 1304–1320
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:80
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