VTI介质中弹性波方程正演的一阶混合吸收边界
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摘要
波动方程正演是研究地震波在地下介质中的传播机理以及提高地震资料采集、处理、解释精度和效果的重要工具,截断边界的处理是波动方程正演的重要研究内容。针对在地震数值模拟中常用的三种(吸收)边界处理方法存在的不足与问题,提出了适用于VTI介质中弹性波动方程正演的一阶混合吸收边界条件,并给出了该方法在过渡区域的线性叠加系数公式。数值模拟实验表明:相同条件下,VTI介质一阶混合吸收边界方法不仅在吸收效果方面优于常规的PML边界条件,而且在存储量和计算效率方面也具有较大优势。
The wave equation forward modeling is an important means to study the seismic transmission mechanism in subterranean media and to improve seismic data acquisition, processing and interpretation accuracies and effects. The processing of truncated boundary is an important research item in wave equation forward modeling. In allusion to shortcomings and problems of three(absorbing) boundary processing approaches commonly used in seismic numerical simulation, put forward the first-order hybrid absorbing boundary condition adequate for VTI media elastic wave equation forward modeling, and linear stacking factor formula in transitional region of the approach. The numerical simulation test has shown that under the same conditions, the VTI media first-order hybrid absorbing boundary condition approach is not only excel in conventional PML boundary condition on aspect of absorbing effect, but also advantageous over aspects of memory space and computational efficiency.
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