A boundary integral equation‐discrete wavenumber representation method to study wave propagation in multilayered media having irregular interfaces
A boundary integral equation‐discrete wavenumber representation method to study wave propagation in multilayered media having irregular interfaces
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DOI：
10.1190/1.1442748
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发表时间：
1989-09
期刊：
影响因子：
3.3
通讯作者：
M. Bouchon;M. Campillo;S. Gaffet
中科院分区：
文献类型：
--
作者：
M. Bouchon;M. Campillo;S. Gaffet
我们提出了一种方法，结合边界积分方程技术与离散波数绿色的函数表示研究波在多层介质中的传播具有不规则的界面。该方法是基于由体积力的分布，从其中的辐射是等效的衍射边界所产生的散射波场的接口的表示。绿色函数的计算采用离散波数法。引入了相关的力分布在相邻界面上的扩散矩阵。然后，该解决方案需要在每个界面处求矩阵的逆。线性系统的维数与所考虑的层数无关，计算时间随界面数线性变化。我们应用该方法计算了存在向斜或背斜构造的地面和垂直地震剖面。
We present a method which combines boundary‐integral equation techniques with the discrete wavenumber Green’s function representation to study wave propagation in multilayered media having irregular interfaces. The approach is based on the representation of the interfaces by distributions of body forces, the radiation from which is equivalent to the scattered wave field produced by the diffracting boundaries. The Green’s functions are evaluated by the discrete wavenumber method. Propagator matrices are introduced to relate force distributions on neighboring interfaces. The solution then requires the inversion of a matrix at each interface. The dimensions of the linear system are independent of the number of layers considered, and the computation time varies linearly with the number of interfaces. We apply the method to calculate surface and vertical seismic profiles in the presence of synclinal or anticlinal structures.