An analytical solution for wave propagation in a semi-infinite medium with a fluid layer subjected to a buried arbitrary cylindrical line source
An analytical solution for wave propagation in a semi-infinite medium with a fluid layer subjected to a buried arbitrary cylindrical line source
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埋地任意圆柱线源作用下具有流体层的半无限介质中波传播的解析解
DOI：
10.1093/gji/ggz131
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发表时间：
2019-06
影响因子：
2.8
通讯作者：
Jing Liping
中科院分区：
文献类型：
--
作者：
Shan Zhendong;Xie Zhinan;Jing Liping
本文开发了一种半无限固体瞬态响应的解析解，其流体表面受到固体中任意线源的影响。首先将线源分解为P和脉冲，并给出流体和半无限固体瞬态响应的波场。应用傅里叶变换和拉普拉斯变换方法，得到变换域的解析解，即积分解。利用de Hoop方法，提供适当的轮廓变形来改变积分路径以及奇点和分支点的位置，得到一种新的积分形式。由于新积分的形式与拉普拉斯变换对类似，因此直接获得拉普拉斯逆变换，并导出时域解析解。实际上，固体中的压缩波速通常大于流体中的压缩波速。对于圆柱形S脉冲线源，在流固系统中始终可以观察到头波。对于圆柱形P脉冲线源，只有当波从固体折射到流体时，才能在流固系统中观察到头波。提供数值例子来讨论流固系统的行为。
This paper develops an analytical solution for the transient response of a semi-infinite solid with a fluid surface subjected to an arbitrary line source in the solid. The line source is first decomposed intoPandSpulses, and the wavefields for transient responses of the fluid and semi-infinite solid are presented. Applying the Fourier and Laplace transform methods, the analytical solution in the transform domain, which is an integral solution, is obtained. Using de Hoop's method, a suitable distortion of the contour is provided to change the path of integration and the positions of the singularities and branch points, and a new form of integration is obtained. As the new integration has a form similar to that of the Laplace transform pair, the inverse Laplace transform is directly obtained, and the analytical solution in the time domain is developed. In practice, the compressional wave velocity in the solid is usually larger than that in the fluid. For the cylindricalS-pulse line source, the head wave can always be observed in the fluid–solid system. For the cylindricalP-pulse line source, the head wave can be observed in the fluid–solid system only when the wave is refracted from the solid to the fluid. Numerical examples are provided to discuss the behaviour of the fluid–solid system.
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影响因子：
3.2
作者：
Q. Han;M. Qian;Hao Wang
通讯作者：
Q. Han;M. Qian;Hao Wang
影响因子：
2.4
作者：
Zhu, JY;Popovics, JS;Schubert, F
通讯作者：
Schubert, F
影响因子：
3
作者：
F. Press;M. Ewing;I. Tolstoy
通讯作者：
F. Press;M. Ewing;I. Tolstoy
影响因子：
4
作者：
F. Sánchez-Sesma;U. Iturrarán-Viveros;E. Kausel
通讯作者：
F. Sánchez-Sesma;U. Iturrarán-Viveros;E. Kausel
DOI：
10.1016/j.ijsolstr.2016.09.012
发表时间：
2016-12
影响因子：
3.6
作者：
Zhendong Shan;D. Ling
通讯作者：
Zhendong Shan;D. Ling