open access

https://hdl.handle.net/2115/47595

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

英語

wave propagation

1998-09

Blackwell Scientific Publications

Geophysical journal international

134(3)

677-688

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.

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Version of Record

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0956-540X

1365-246X

AA10717798