频率-空间域CPML和特征分析法组合边界研究  

Combined Boundary of CPML and Feature Analysis within Frequency-Space Domain

作　　者：李桂花 王树林 张文波 徐子煜 LI Guihua;WANG Shulin;ZHANG Wenbo;XU Ziyu(School of Earth Sciences and Engineering,Shandong University of Science and Technology,Qingdao 266590,China;R&D center,BGP Inc.,CNPC,Zhuozhou 072751,China)

机构地区：[1]山东科技大学地球科学与工程学院,山东青岛266590 [2]中国石油东方地球物理公司物探技术研究中心,河北涿州072751

出　　处：《CT理论与应用研究（中英文）》2022年第3期269-279,共11页Computerized Tomography Theory and Applications

基　　金：山东省自然科学基金面上项目(基于混合模型深度神经网络的多波地震油气藏特征提取与识别(ZR202103050722))。

摘　　要：在地震波场数值模拟过程中,边界反射是影响其模拟结果的一个重要因素。实际地下介质具有各向异性特征,传统的完全匹配层边界(PML)对于小入射角地震波具有良好效果,但该方法并不能有效地吸收低频波和大角度入射波。针对VTI介质边界反射的问题,本文提出在频率-空间域有限差分法数值模拟中采用卷积完全匹配层(CPML)和特征分析法的组合边界条件,并对该组合边界条件进行数值模拟实验和边界反射吸收效果分析,验证所提方法是一种可靠的人工吸收边界条件,能够有效地压制波场模拟过程中产生的边界反射。In the process of numerical simulation, boundary reflection is an important factor which affect the numerical simulation results. The actual underground medium holds anisotropic characteristics. The traditional perfectly matched layer boundary(PML) shows good effect on small incident angle seismic waves, yet it can not effectively absorb low-frequency waves and large angle incident waves. To solve the problem of boundary reflection, in this paper, we propose a combined boundary condition using convolution perfectly matched layer(CPML) and eigenvalue analysis method to be applied in the numerical simulation of finite difference method in frequency space domain. The numerical simulation experiment and boundary reflection absorption effect analysis of the combined boundary condition verify that the proposed method is a reliable artificial absorption boundary condition, which can effectively suppress the boundary reflection generated in the process of wave field simulation.

关 键 词：频率-空间域 有限差分数值模拟 CPML边界 特征分析法 VTI介质 

分 类 号：O242[理学—计算数学] P631.4[理学—数学]