Discrete time solution of plane P-SV waves in a plane layered medium.
Discrete time solution of plane P-SV waves in a plane layered medium.
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DOI：
10.1190/1.1440085
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发表时间：
1970-04
期刊：
影响因子：
3.3
通讯作者：
C. Frasier
中科院分区：
文献类型：
--
作者：
C. Frasier
对于垂直入射到层状弹性介质中的平面波，离散时间正问题和逆问题都已求解。本文将计算平面均匀各向同性介质中的波的正问题推广到非垂直入射的P和SV体波，其中各波的水平相速度大于各层的横波和纵波速度。通过每一层的P波和SV波的垂直走时被四舍五入为小时间增量Δτ的不相等整数倍。这给出了一个4×4层矩阵，类似于以前作者得到的正入射的2×2层矩阵。在层状半空间的自由表面上记录的反射和透射响应被导出为傅里叶变换变量z=e-iωΔτ的整数次幂的矩阵级数。这些响应是由多项式除法递归生成的，包括所有多次反射的P波和SV波与模式转换。这表明...
For plane waves at normal incidence to a layered elastic medium, both the forward and inverse discrete time problems have been previously solved. In this paper the forward problem of calculating the waves in a medium of plane, homogeneous, isotropic layers is extended to P and SV body waves at nonnormal incidence, where the horizontal phase velocity of each wave is greater than the shear and compressional velocities of each layer. Vertical traveltimes for P and SV waves through each layer are rounded off to unequal integer multiples of a small time increment Δτ. This gives a 4×4 layer matrix analogous to the 2×2 layer matrix for normal incidence obtained by previous authors. Reflection and transmission responses recorded at the free surface of a layered half space are derived as matrix series in integer powers of the Fourier transform variable z=e-iωΔτ. These responses are generated recursively by polynomial division and include all multiply reflected P and SV waves with mode conversions. It is shown that...