Comparison of different BEM+Born series modeling schemes for wave propagation in complex geologic structures
Comparison of different BEM+Born series modeling schemes for wave propagation in complex geologic structures
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DOI：
10.1190/1.3392175
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发表时间：
2010-05
期刊：
影响因子：
3.3
通讯作者：
Geng-xin Yu;L. Fu;Z. Yao
中科院分区：
文献类型：
--
作者：
Geng-xin Yu;L. Fu;Z. Yao
复杂的地质结构通常由具有分段恒定特性的不规则子区域组成。通过引入Born级数和边界积分方程，建立了两种不同的边界元法（BEM）+Born级数格式，用于模拟这种分段均匀介质中的波传播。这两种格式都将所得的边界积分方程矩阵分解为两部分：（1）自相互作用算子，用全隐式边界元法处理;（2）外推算子，用Born级数近似。第一个方案将自相互作用算子与每个边界本身相关联，并将外推算子解释为子区域中不同边界之间的交叉相互作用。第二种方案将自相互作用算子与每个子区域本身联系起来，并将外推算子表示为整个模型中不同子区域之间的交叉相互作用。在第二种方案中，所得边界积分方程的矩阵维数。
Complex geologic structures generally consist of irregular subregions with piecewise constant properties. Two different boundary-element method (BEM) plus Born-series schemes have been formulated for wave-propagation simulation in such piecewise homogeneous media by incorporating a Born series and boundary integral equations. Both schemes decompose the resulting boundary integral equation matrix into two parts: (1) the self-interaction operator, handled with a fully implicit BEM, and (2) the extrapolation operator, approximated by a Born series. The first scheme associates the self-interaction operator with each boundary itself and interprets the extrapolation operator as cross-interactions between different boundaries in a subregion. The second scheme relates the self-interaction operator toeach subregion itself and expresses the extrapolation operator as cross-interactions between different subregions in a whole model. In the second scheme, the matrix dimension of the resulting boundary integral equatio...