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| Spatial division of semi-infinite space and polarization characteristics of particle motion for incident plane primary wave#br# |
| HE Weiping1，2，ZHOU Yihong1，2，ZHAO Chunju1，2 |
(1. Hubei Key Laboratory of Construction and Management in Hydropower Engineering，China Three Gorges University，Yichang，Hubei 443002，China；2. College of Hydraulic and Environmental Engineering，China Three Gorges University，
Yichang，Hubei 443002，China) |
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Abstract Based on wave theory and superposition principle，the spatial variation of motions caused by incident seismic waves was investigated by taking the oblique incident plane primary wave in semi-infinite space as a study object in this paper. According to the wave superposition pattern of particle motion，the half-infinite space was divided into superposition and separation domains. An analytical expression of the border line of two spaces was given and the control parameters of the border line were studied based on the dimensionless superposition range coefficient. The spatial variation and polarization characteristics of particle motion in different spaces were studied. The result shows that the border of two domains is determined by separation lines of arbitrary two waves of incident P wave(PI)，reflected P wave(PR) and reflected SV wave(SR). An implicit equation was given to obtain the critical angle which controls the border. It is shown that the border is respectively determined by the separation lines of PR and SR，PI and PR，and PI and SR in the cases of the incident angle less than the critical angle，the incident angle larger than the critical angle and the amplitude of PR equal to zero. There is a one-to-one correspondence between the polarization angle of particle motion on the surface and the incident angle. In superposition and separation domains，the polarization characteristic of particle motion is in consistent with the seismic wave when the particle motion is contributed by one single wave，but changes with time when particle motion is contributed by different waves.
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