Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua

Attenuation and dispersion of compressional seismic waves in inhomogeneous, fluid-saturated porous media are modeled in the framework of wave propagation in continuous random media. Two dominant attenuation mechanisms are analyzed in detail. First, attenuation due to wave-induced flow, an intrinsic...

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Main Authors: Muller, Tobias, Gurevich, Boris, Shapiro, S.
Other Authors: Renata Dmowska
Format: Book Chapter
Published: Elsevier 2008
Online Access:http://hdl.handle.net/20.500.11937/42161
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author Muller, Tobias
Gurevich, Boris
Shapiro, S.
author2 Renata Dmowska
author_facet Renata Dmowska
Muller, Tobias
Gurevich, Boris
Shapiro, S.
author_sort Muller, Tobias
building Curtin Institutional Repository
collection Online Access
description Attenuation and dispersion of compressional seismic waves in inhomogeneous, fluid-saturated porous media are modeled in the framework of wave propagation in continuous random media. Two dominant attenuation mechanisms are analyzed in detail. First, attenuation due to wave-induced flow, an intrinsic attenuation mechanism where a passing seismic wave introduces localized movements of the viscous fluid which are accompanied by internal friction. Second, attenuation due to scattering, the so-called apparent attenuation where ordinary elastic scattering is responsible for a redistribution of wavefield energy in space and time. Despite the fact that both attenuation mechanisms have a quite different physical nature, the theory of wave propagation in random media provides a unified framework to model these effects in a consistent manner. In particular, it is shown that the method of statistical smoothing can be applied not only to energy conserving systems (elastic scattering) but also to energy absorbing systems (conversion scattering into diffusion waves). Explicit expressions for attenuation and dispersion for relevant correlation models are presented, and the asymptotic frequency scaling at low- and high frequencies of both attenuation mechanisms are compared and contrasted.
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spelling curtin-20.500.11937-421612022-12-07T06:50:50Z Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua Muller, Tobias Gurevich, Boris Shapiro, S. Renata Dmowska Haruo Sato Michael C. Fehler Attenuation and dispersion of compressional seismic waves in inhomogeneous, fluid-saturated porous media are modeled in the framework of wave propagation in continuous random media. Two dominant attenuation mechanisms are analyzed in detail. First, attenuation due to wave-induced flow, an intrinsic attenuation mechanism where a passing seismic wave introduces localized movements of the viscous fluid which are accompanied by internal friction. Second, attenuation due to scattering, the so-called apparent attenuation where ordinary elastic scattering is responsible for a redistribution of wavefield energy in space and time. Despite the fact that both attenuation mechanisms have a quite different physical nature, the theory of wave propagation in random media provides a unified framework to model these effects in a consistent manner. In particular, it is shown that the method of statistical smoothing can be applied not only to energy conserving systems (elastic scattering) but also to energy absorbing systems (conversion scattering into diffusion waves). Explicit expressions for attenuation and dispersion for relevant correlation models are presented, and the asymptotic frequency scaling at low- and high frequencies of both attenuation mechanisms are compared and contrasted. 2008 Book Chapter http://hdl.handle.net/20.500.11937/42161 10.1016/S0065-2687(08)00005-8 Elsevier restricted
spellingShingle Muller, Tobias
Gurevich, Boris
Shapiro, S.
Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title_full Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title_fullStr Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title_full_unstemmed Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title_short Attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
title_sort attenuation of seismic waves due to wave-induced flow and scattering in randomly heterogeneous poroelastic continua
url http://hdl.handle.net/20.500.11937/42161