BA Zhenning, WU Mengtao, LIANG Jianwen, YU Zhiying. Scattering and Diffraction by the Hill-Canyon Composite Topography for Incident Plane P- and SV-Waves[J]. Applied Mathematics and Mechanics, 2020, 41(7): 695-712. doi: 10.21656/1000-0887.400333
Citation: BA Zhenning, WU Mengtao, LIANG Jianwen, YU Zhiying. Scattering and Diffraction by the Hill-Canyon Composite Topography for Incident Plane P- and SV-Waves[J]. Applied Mathematics and Mechanics, 2020, 41(7): 695-712. doi: 10.21656/1000-0887.400333

Scattering and Diffraction by the Hill-Canyon Composite Topography for Incident Plane P- and SV-Waves

doi: 10.21656/1000-0887.400333
Funds:  The National Natural Science Foundation of China(51778413;51578373;51578372)
  • Received Date: 2019-11-04
  • Rev Recd Date: 2019-11-27
  • Publish Date: 2020-07-01
  • As a common composite site, the hill-canyon topography has complex coherence effects on seismic wave scattering. However, the publications of related research are still very limited. Therefore, a multi-domain indirect boundary element method was proposed to solve the scattering of in-plane elastic waves, and the scattering and diffraction of plane P-SV waves by hill-canyon topography were studied. The method takes advantages of both full-space Green’s function and half-space Green’s function to construct the scattered field in the independent closed region and the half-space open region, respectively. Combined with the auxiliary function method, dynamic wavefield solutions for the hill-canyon site were given, with the calculation accuracy ensured and the solution efficiency improved. The proposed method was verified through comparison of the results with published ones, and numerical calculations were performed in the frequency domain and time domain in the case of a Gaussian hill-canyon site. Results show that, the distribution of the surface displacement amplitude is very complex. There is significant dynamic interaction between the hill and the canyon, and the frequency-domain response depends on the frequency and angle of the incident wave. The presence of hills has an inhibition effect on the canyon for vertically incident waves, which significantly changes the peak acceleration and spectrum characteristics inside the canyon. Different height-to-width ratios of hills will cause changes in the seismic effect, and the presence of bedrock will also obviously amplify the seismic effect of the overall terrain.
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