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Multiple scattering of SH waves by imperfectly bonded interfaces with inhomogeneous strengths

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Title: Multiple scattering of SH waves by imperfectly bonded interfaces with inhomogeneous strengths
Authors: Yoshio, Murai1 Browse this author →KAKEN DB
Teruo, Yamashita Browse this author →KAKEN DB
Authors(alt): 村井, 芳夫1
Keywords: cracks
layered media
numerical techniques
S wave
wave propagation
Issue Date: Sep-1998
Publisher: Blackwell Scientific Publications
Journal Title: Geophysical journal international
Volume: 134
Issue: 3
Start Page: 677
End Page: 688
Abstract: We have developed a new, simple method to calculate elastic waves scattered by zonally distributed cracks, taking account of multiple crack interactions. In this paper, our method is applied to SH-wave propagation in 2-D elastic media. An array of cracks is represented by an imperfectly bonded interface with a spatially inhomogeneous strength. A section of the interface with vanishing strength represents a stress-free crack, while a section with a significantly high elastic stiffness approximates an intact section. A cracked zone is therefore represented by a multilayered zone, partitioned by many such interfaces. In this formation, the interactions among all cracks can be considered implicitly and a mixed boundary-value problem can be circumvented. In our method, the elastic waves scattered by an interface are expanded into discrete reflected and transmitted plane-wave components. The wavefield in a cracked zone can be easily calculated by the wave propagator method or by the reflection and transmission operator method, on the basis of this expansion. The accuracy of our method is shown to be quite satisfactory for some examples. The zeroth-order reflection coefficient, which is defined as the coefficient for a reflected-wave component that has a reflection angle equal to the incidence angle, is specifically studied for some crack arrays, as an example of the application of our method of analysis.
Rights: The definitive version is available at
Type: article
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 村井 芳夫

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