Weighted residual method for diffraction of plane P-waves in a 2-D elastic half-space III: on an almost circular arbitrary-shaped alluvial valley |
| |
| Authors: | Heather P Brandow Vincent Lee |
| |
| Institution: | 1.Brandow & Nastar Inc., Rancho Santa Margarita, CA 92688, USA2.Asanti Civil Environmental Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA |
| |
| Abstract: | 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. |
| |
| Keywords: | Scattering Diffraction Alluvial valley Arbitrary-shaped Weighted-residues Amplification |
|
| 点击此处可从《Earthquake Science》浏览原始摘要信息 |
| 点击此处可从《Earthquake Science》下载免费的PDF全文 |
