Propagation of P- and S-waves in initially stressed gravitating half space
Propagation of P- and S-waves in initially stressed gravitating half space
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DOI：
10.1007/s10483-013-1712-7
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发表时间：
2013-07
影响因子：
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通讯作者：
Shishir Gupta;S. Vishwakarma
中科院分区：
文献类型：
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作者：
Shishir Gupta;S. Vishwakarma
本文研究了在初始压应力和重力场作用下半空间中P波和S波的相速度。重力引起的密度和加速度沿深度沿着成二次变化。色散方程的封闭形式推导。结果表明，相速度不仅取决于初始应力，重力，和传播的方向，但也与密度和加速度由于重力的不均匀性参数。得到了各种特殊情况下的结果，其结果与经典结果一致.本文对不同材料参数下P波和S波相速度随波数的变化规律进行了数值研究，并给出了计算结果。开发了图形用户界面模型来概括这种效果。
The present paper contributes in studying the phase velocities ofP- andS-waves in a half space subjected to a compressive initial stress and gravity field. The density and acceleration due to gravity vary quadratically along the depth. The dispersion equation is derived in a closed form. It is shown that the phase velocities depend not only on the initial stress, gravity, and direction of propagation but also on the inhomogeneity parameter associated with the density and acceleration due to gravity. Various particular cases are obtained, and the results match with the classical results. Numerical investigations on the phase velocities ofP- andS-waves against the wave number are made for various sets of values of the material parameters, and the results are illustrated graphically. The graphical user interface model is developed to generalize the effect.