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| A theoretical solution for the scattering of incident plane P waves by a circular-arc site in saturated double-phase media with overlying water |
| Received:May 09, 2020 Revised:September 15, 2020 |
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| DOI：10.7511/jslx20200509001 |
| KeyWord:seismic ground motions theoretical solution wave function expansion method plane P wave saturated double-phase media |
| Author | Institution |
| 柳国环 |
天津大学 建筑工程学院, 天津 |
| 黄伟纬 |
天津大学 建筑工程学院, 天津 |
| 李鑫洋 |
天津大学 建筑工程学院, 天津 |
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| Abstract: |
| Using the wave function expansion method,this paper mainly studies the earthquake motion field with spatial variability for an incident plane P wave into a complex terrain with overlying water.The site has comprehensive attributes such as a water-covered layer,the saturated double-phase media due to the overlying water,the non-flat site,and the second type of stratification (the site through geological layers).First,based on the reflection and transmission characteristics of seismic waves,the free wave field functions in a Cartesian coordinate system are derived.Then,considering the characteristics of the site and the large arc method,the scattering wave field functions with the undetermined coefficients in a polar coordinate system are determined.Furthermore,the undetermined coefficients are solved by the boundary conditions determined by the saturated soil interface and soil-water interface.Finally,a theoretical solution for the scattering by circular-arc site in saturated double-phase media under surface water is derived.The rationality and reliability of the theoretical solution is verified by a numerical calculation and the surface displacements at different conditions are analyzed.Numerical results show that: compared with the uniform medium,the saturated double-phase media significantly change the surface motion,and the incident wave frequency and angle have great influences on the ground vibration. |
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