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Scattering and diffraction of plane p-waves in a 2-D elastic half-space Ⅱ：shallow arbitrary shaped canyon

Earthquake Engineering and Engineering Vibration 2017年第3期16卷 459-485页

作者： heather p.brandow Vincent Lee Civil and Environmental Engineering University of Southern California Los Angeles 90089 United States

Scattering and Diffraction of elastic in-plane p-and SV-waves by a surface topography such as an elastic canyon at the surface of a half-space is a classical problem which has been studied by earthquake engineers and strong-motion seismologists for over forty years. The case of out-of-plane SH waves on the same elastic canyon that is semi-circular in shape on the half-space surface is the first such problem that was solved by analytic closed form solutions over forty years ago by Trifunac. The corresponding case of in-plane p-and SV-waves on the same circular canyon is a much more complicated problem because, the in-plane p-and SV-scattered waves have different wave speeds and together they must have zero normal and shear stresses at the half-space surface. It is not until recently in 2014 that analytic solution for such problem is found by the author in the work of Lee and Liu. This paper uses the technique of Lee and Liu of defining these stress-free scattered waves to solve the problem of the scattered and diffraction of these in-plane waves on an almost-circular surface canyon that is arbitrary in shape.

关键词： diffraction elastic p-waves SV-waves weighted-residual method arbitrary-shaped canyon

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Weighted residual method for diffraction of plane p-waves in a 2-D elastic half-spaceⅢ:on an almost circular arbitrary-shaped alluvial valley

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Earthquake Science 2018年第1期31卷 19-34页

作者： heather p.brandow Vincent Lee brandow&Nastar Inc. Rancho Santa MargaritaCA 92688USA Asanti Civil Environmental Engineering University of Southern CaliforniaLos AngelesCA 90089-2531USA

Scattering and diffraction of elastic in-plane p- and SV-waves by a surface topography such as an elastic canyon at the surface of a half-space is a classical problem which has been studied by earthquake engineers and strong motion seismologists for over forty years. The case of out-of- plane SH-waves on the same elastic canyon that is semicircular in shape on the half-space surface is the first such problem that was solved by analytic closed-form solutions over forty years ago by Trifunac. The corresponding case of in-plane p- and SV- waves on the same circular canyon is a much more complicated problem because the in-plane p- and SV- scattered waves have different wave speeds and together they must have zero normal and shear stresses at the half-space surface. It is not until recently in 2014 that analytic solution for such problem is found by Lee and Liu. This paper uses their technique of defining these stress-free scattered waves, which brandow and Lee previously used to solve the problem of the scattering and diffraction of these in-plane waves on an almost-circular surface canyon that is arbitrary in shape, to the study of the scattering and diffraction of these in-plane waves on an almost circular arbitrary-shaped alluvial valley.

关键词： Scattering Diffraction Alluvial valley Arbitrary shaped Weighted-residues Amplification

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