Wave scattering by surface-breaking cracks and cavities

Budaev, Bair V.; Bogy, David B.

doi:10.1016/j.wavemoti.2004.02.003

Cited by 5 publications

(3 citation statements)

References 6 publications

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“…Almost all the studies and the numerical models have focused on the attenuation and anisotropy behavior of the response of multicracked elastic media (e.g., Kraut, 1976;Leary et al, 1987;Carcione, 1996;Pointer et al, 2000;Liu et al, 1989Liu et al, , 1991Liu et al, , 1993. Recent work (Dineva and Manolis, 2001a,b;Budaev and Bogy, 2004) has emphasized the scattering of elastic waves by discontinuities in a half-space. Mal et al (1968) solved the scattering of single objects within an infinite medium and considered the presence of a free surface based on quasi-analytical methods in the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Multiple Scattering of Elastic Waves by Subsurface Fractures and Cavities

Rodríguez-Castellanos

Sánchez-Sesma

Luzón

et al. 2006

Bulletin of the Seismological Society of America

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Comprehensive studies in geophysics and seismology have dealt with scattering phenomena in unbounded elastic domains containing fractures or cavities. Other studies have been carried out to investigate scattering by discontinuities located near a free surface. In this last case, the presence of fractures and cavities significantly affects wave motion and, in some cases, large resonant peaks may appear. To study these resonant peaks and describe how they can be affected by the presence of other near-free-surface fractures or cavities we propose the use of the indirect boundary element method to simulate 2D scattering of elastic P and SV waves. The geometries considered are planar and elliptic cracks and cavities. This method establishes a system of integral equations that allows us to compute the diffracted displacement and traction fields. We present our results in both frequency and time domains. In the planar cracks located near the free surface, we validate the method by comparing results with those of a previously published study. We develop several examples of various fractures and cavities to show resonance effects and total scattered displacement fields, where one can observe conspicuous peaks in the frequency domain and important wave interactions in the time domain. Finally, we show how our dimensionless graphs can be used to deal with materials like clay, sand, or gravel and compare the response with finite-element analysis of elastic beams.

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Section: Introductionmentioning

confidence: 99%

Multiple Scattering of Elastic Waves by Subsurface Fractures and Cavities

Rodríguez-Castellanos

Sánchez-Sesma

Luzón

et al. 2006

Bulletin of the Seismological Society of America

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“…In Budaev & Bogy (2003a), the method was applied specifically to problems in two-dimensional wedge-shaped domains and to three-dimensional problems in conical domains. These results were used in Budaev & Bogy (2004c) for the analysis of two-dimensional problems of wave scattering by surface breaking cavities and cracks of virtually arbitrary shape. In Budaev & Bogy (2003b), the method was adapted to problems of wave propagation in exterior cylindrical and spherical domains.…”

Section: Introductionmentioning

confidence: 99%

Diffraction by a plane sector

Budaev

Bogy

2004

Proc. R. Soc. Lond. A

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The problem of diffraction by a perfectly reflecting screen occupying an infinite sector of the equatorial plane is addressed by the random-walk method. The solution is represented as a superposition of the wave field completely determined by an elementary ray analysis and of the field formed by the waves diffracted by the tip of the screen. The diffracted field is explicitly represented as the mathematical expectation of a specified functional on trajectories of the random motion, the radial component of which runs in a complex space while the two-dimensional angular component remains real valued. The numerical results confirm the efficiency of the random-walk approach to the analysis of diffraction by wedge-shaped screens of arbitrary angles.

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“…[6] to obtain the explicit probabilistic solution of the important three-dimensional problem of diffraction by a plane sectorial screen, and in Ref. [8] the random walk method was applied to problems of wave scattering by surface-breaking cracks and cavities.…”

Section: Introductionmentioning

confidence: 99%