Simulations of P-SV wave scattering due to cracks by the 2-D finite difference method

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NSTL
Springer Nature

外文摘要：We simulate P-SV wave scattering by 2-D parallel cracks using the finite difference method (FDM). Here, special emphasis is put on simplicity; we apply a standard FDM (second-order velocity-stress scheme with a staggered grid) to media including traction-free, infinitesimally thin cracks, which are expressed in a simple manner. As an accuracy test of the present method, we calculate the displacement discontinuity along an isolated crack caused by harmonic waves using the method, which is compared with the corresponding results based on a reliable boundary integral equation method. The test resultantly indicates that the present method yields sufficient accuracy. As an application of this method, we also simulate wave propagation in media with randomly distributed cracks. We experimentally determine the attenuation and velocity dispersion induced by scattering from the synthetic seismograms, using a waveform averaging technique. It is shown that the results are well explained by a theory based on the Foldy approximation, if the crack density is sufficiently low. The theory appears valid with a crack density up to at least 0.1 for SV wave incidence, whereas the validity limit appears lower for P wave incidence.

外文关键词：

Scatteringcracked mediafinite difference methodsattenuationdispersion

作者：

Yuji Suzuki、Takahiro Shiina、Jun Kawahara、Taro Okamoto、Kaoru Miyashita

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作者单位：

Graduate School of Science and Engineering, Ibaraki University, Mito 310-8512, Japan

Research Center for Prediction of Earthquakes and Volcanic Eruptions, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan

Faculty of Science, Ibaraki University, Mito 310-8512, Japan

Department of Earth and Planetary Sciences, Tokyo Institute of Technology, Tokyo 152-8551, Japan

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出版年：

2013

DOI：

10.5047/eps.2013.06.008

Earth, planets and space

ISSN：1343-8832

年,卷(期)：2013.65(12)

被引量3
参考文献量56