石油物探2017,Vol.56Issue(5):637-643,666,8.DOI:10.3969/j.issn.1000-1441.2017.05.003
基于褶积完全匹配吸收边界的声波方程数值模拟
Numerical modeling of acoustic wave equations based on convolutional perfectly matched layer absorbing boundary condition
摘要
Abstract
The perfectly matched layer (PML) absorbing boundary condition has been widely undertaken in numerical modeling of seismic wave fields;however,PML reflects a large amount of spurious energy at grazing incidence or a low frequency at all angles of incidence.The convolutional perfectly matched layer (CPML) absorbing boundary condition can effectively solve the above prob lem.We deduce a first-order velocity-stress wave equation with CPML,substitute the memory variables for complex convolution operation in the equation,and combine the CPML and a staggered-grid finite difference method in the forward modeling.CPML can save the memory of computers and programs easily from the implementation process.The result of the numerical simulation testing indieated that CPML can improve the precision effectively in the wave field simulation without increasing the computational cost.关键词
褶积完全匹配层/交错网格/数值模拟/声波方程/边界条件Key words
convolutional perfectly matched layer (CPML)/staggered-grid/numerical modeling/acoustic wave equation/boundary condition分类
天文与地球科学引用本文复制引用
柯璇,石颖,宋利伟,李松龄..基于褶积完全匹配吸收边界的声波方程数值模拟[J].石油物探,2017,56(5):637-643,666,8.基金项目
国家自然科学基金(41474118)、黑龙江省杰出青年科学基金项目(JC2016006)、东北石油大学研究生创新科研项目(YJSCX2016-002NEPU)以及大连理工大学海岸和近海工程国家重点实验室开放基金项目(LP1509)联合资助.This research is financially supported by the Natural Science Foundation of China (Grant No.41474118),the Outstanding Youth Science Fund of Heilongjiang Province (Grant No.JC2016006),the Northeast Petroleum University Innovation Foundation For Postgraduate (Grant No.YJSCX2016-002NEPU) and the Open Foundation Project of Dalian University of Technology,State Coastal and Offshore Engineering Key Laboratory (Grant No.LP1509). (41474118)