石油物探2018，Vol.57Issue(3)：378-388,11.DOI:10.3969/j.issn.1000-1441.2018.03.007
可变交错网格优化差分系数法地震波正演模拟
Seismic wave field forward modeling of variable staggered grid optimized difference coefficient method
摘要
Abstract
Traditional variable grid finite-difference coefficients are obtained by Taylor series expansion,and numerical dispersion is severe for a wide range of wave numbers.An optimized difference coefficient method of a variable staggered-grid based on the least squares theory is proposed in this paper.First,a square error function based on the dispersion relation is established.Next,with the constraint condition,the optimized difference operators for the variable staggered-grid are obtained by solving the conditional extremum,which can effectively suppress the numerical dispersion.Dispersion analyses show that the optimal variable staggered-grid finite-difference scheme can satisfy the dispersion relation for a wider wave number range.Numerical examples demonstrate that,for the same spatial difference operator length,the proposed optimized finite-difference scheme offers more accurate seismic wave field forward modelling than the Taylor expansion method.关键词
可变交错网格/优化差分系数/数值频散/最小二乘算法/约束条件Key words
variable staggered-grid/optimized difference coefficient/numerical dispersion/least square theory/constraint condition分类
天文与地球科学引用本文复制引用
李世中,孙成禹,彭鹏鹏..可变交错网格优化差分系数法地震波正演模拟[J].石油物探,2018,57(3):378-388,11.基金项目
国家科技重大专项(2016ZX05006-002-03)资助.This research is supported by the National Science and Technology Major Project of China (2016ZX05006-002-03). （2016ZX05006-002-03）
