P1 波在非饱和土自由边界上反射的能量特性研究

Study of the energetic properties of P1 wave reflected on the free boundary of unsaturated soil

  • 摘要: 基于多孔介质理论和连续介质波动理论,研究了非饱和半空间自由边界上平面P1 波反射时,各类反射波的振 幅反射以及能量反射特性。利用Helmholtz分解定理和具体的自由边界条件,得到了由平面P1 波斜入射产生的4种 反射波(反射P1 波、反射P2 波、反射P3 波和反射S波)的振幅反射系数及能量反射系数的解析表达式,并通过数值算 例分析了入射角度以及饱和度、频率和孔隙率等物理参数对能量特性的影响规律。结果表明:各反射波的振幅反射 系数及能量反射系数不仅受到入射角的影响,同时也随着饱和度的改变而发生显著变化;入射波能量主要由反射P1 波和反射S波携带。

     

    Abstract: Based on the porous medium theory and the continuum medium fluctuation theory, this paper studies the amplitude re flection and energy reflection properties of the plane P1 wave reflection on the unsaturated semi-space free boundary. Using Helm holtz decomposition theorem and specific free boundary conditions, the analytical expressions of the amplitude reflection coefficient and energy reflection coefficient of four types of reflected waves (reflection P1 wave, reflection P2 wave, reflection P3 wave, and re flection S wave) generated by the plane P1 wave are obtained, and the effects of incidence and saturation, frequency and porosity on energetic properties is analyzed. The results show that the amplitude reflection coefficient and energy reflection coefficient not only are affected by the angle of incidence, but also have significantly changed with the change of saturation, and the reflected P1 wave and reflected S wave carry the vast majority of the incident wave energy.

     

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