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黏性声波方程数值正演中的匹配Z变换完全匹配层吸收边界
引用本文:赵建国,史瑞其,陈竞一,潘建国,王宏斌.黏性声波方程数值正演中的匹配Z变换完全匹配层吸收边界[J].地球物理学报,2014,57(4):1284-1291.
作者姓名:赵建国  史瑞其  陈竞一  潘建国  王宏斌
作者单位:1. 中国石油大学(北京)地球物理与信息工程学院;油气资源与 探测国家重点实验室;CNPC物探重点实验室, 北京 102249; 2. 中海油研究总院, 北京 100027; 3. Tulsa大学地球科学学院, Oklahoma, 74104 USA; 4. 中石油勘探开发研究院西北分院, 兰州 730000
基金项目:国家自然科学基金项目(41274138);中国石油大学(北京)基础研究基金(KYJJ2012-05-25)资助
摘    要:本文将非分裂场形式的匹配Z变换PML引入黏声波方程数值正演中,用时域有限差分模拟检验了其在黏声波方程模拟中的效果.数值正演结果表明,在大角度入射时匹配Z变换完全匹配层比传统PML表现更佳,消除了大角度入射产生的低频虚假反射.长时间能量衰减计算证明匹配Z变换完全匹配层在黏声波方程模拟中具有105时间步的稳定性.

关 键 词:完全匹配层  匹配Z变换  吸收边界  黏声波方程  时域有限差分  
收稿时间:2013-05-06

An matched Z-transform perfectly matched layer absorbing boundary in the numerical modeling of viscoacoustic wave equations
ZHAO Jian-Guo,SHI Rui-Qi,CHEN Jing-Yi,PAN Jian-Guo,WANG Hong-Bin.An matched Z-transform perfectly matched layer absorbing boundary in the numerical modeling of viscoacoustic wave equations[J].Chinese Journal of Geophysics,2014,57(4):1284-1291.
Authors:ZHAO Jian-Guo  SHI Rui-Qi  CHEN Jing-Yi  PAN Jian-Guo  WANG Hong-Bin
Institution:1. College of Geophysics and Information Engineering, China University of Petroleum (Beijing); State Key Lab of Petroleum Resource and Prospecting; CNPC Key Lab of China University of Petroleum (Beijing), Beijing 102249, China; 2. CNOOC Research Institute, Beijing 100027, China; 3. Department of Geoscience, University of Tulsa, Oklahoma 74104, U.S.A; 4. Northwest Institute of Oil Exploration and Development, CNPC, Lanzhou 730000, China
Abstract:An unsplit matched Z-transform PML (MZT-PML) is introduced in the modeling of viscoacoustic wave equations, and the performance of this technique is validated through time-domain finite-difference modeling. The numerical experiments demonstrate that MZT-PML performs better than the classical PML in high-angle incidence case and well eliminates the low-frequency spurious reflections in this case. Long-time calculation of energy decay shows that MZT-PML is stable up to 105 time steps in viscoacoustic wave modeling.
Keywords:Perfectly matched layer  Matched Z-transform  Absorbing boundary  Viscoacoustic wave equation  Finite-difference in time-domain
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