Aim

The study is to investigate the impact of torsional surface wave in dry sand-filled desert whose upper surface is irregular due to transverse sand dunes.

Method and Consideration

In the desert, the rigidity and density of the granular soil are presumed to vary in an exponential form with the depth of it. The free surface of the desert has been contemplated as I) traction frees, II) rigid boundary. The four scattering equations for the cases are obtained in a closed form by means of separation variables method in the presence of Whittaker differential equation. Some special cases are derived, and their existence has been discussed. The influences of inhomogeneity factor, irregularity of dunes and sandy parameter on the phase velocity have also been studied graphically in the cases.

Purpose

The result is useful to realize geo-dynamics of the sandy desert, earthquake engineering, civil engineering construction of road and building on the sandy medium, oil exploration, artificial exploration, etc.

中文翻译：

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沙丘干燥沙漠中扭波的影响

目标

该研究旨在研究扭转面波对干沙填充沙漠的影响，该沙漠由于横向沙丘而上表面不规则。

方法与注意事项

在沙漠中，假定颗粒状土壤的刚度和密度随深度的变化呈指数形式变化。沙漠的自由表面被认为是I）无牵引力，II）刚性边界。在存在Whittaker微分方程的情况下，通过分离变量法以封闭形式获得了这些情况的四个散射方程。推导了一些特殊情况，并讨论了它们的存在。在这种情况下，还通过图形研究了不均匀因子，沙丘不规则性和沙质参数对相速度的影响。

目的

该结果对于实现沙质沙漠的地球动力学，地震工程，道路和土质建筑上土木工程建设，石油勘探，人工勘探等方面都具有重要意义。