石油物探2018，Vol.57Issue(2)：198-207,10.DOI:10.3969/j.issn.1000-1441.2018.02.004
介质离散方法对地震波场有限差分数值模拟准确性的影响
Effects of media discretization method on finite difference simulation for seismic wave field
摘要
Abstract
The accuracy of finite difference simulations for seismic wave fields strongly depends on the spatial grid size.The spatial grid size is simply determined by the minimum number of grids per wavelength required for dispersion and dissipation errors of the grid scheme,ignoring the complexity of velocity models.For velocity models with strong velocity contrast interfaces,different discretization methods for the velocity model would result in different discrete velocity models in finite difference grids,which will cause different simulated waveforms.Different discretization methods for media used in finite difference simulation are discussed,including the direct value method,grid mean method,volume integral method,and orthorhombic effective media methoc.Their influence on reflection/transmission waveforms are compared and analyzed quantitatively to explore how the law of interface errors changes with different grid size.Using points per wavelength (PPW) as a constraint,the grid size required by each media discretization method to satisfy a pre-defined error level for different seismic waves is numerically calculated,to provide a reference for the selection of grid size parameters in seismic forward modeling.关键词
数值模拟/有限差分/交错网格/边界条件/介质界面/误差Key words
numerical simulation/finite difference/staggered grid/boundary conditions/media interface/errors分类
天文与地球科学引用本文复制引用
朱强,姜芦倩,张伟..介质离散方法对地震波场有限差分数值模拟准确性的影响[J].石油物探,2018,57(2):198-207,10.基金项目
国家自然科学基金项目(41374056)资助.This research is financially supported by the National Natural Science Foundation of China (Grant No.41374056). （41374056）
