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 migration equation THE 3-D HIGH ORDER DEPTH MIGRATION EQUATION AND ITS NUMERICAL SOLUTION METHOD 三维高阶深度偏移方程及其数值求解方法 frequency dispersion is concerned with the accuracies of migration equation and difference; 频散现象的产生与偏移方程的精度和差分的精度有关; The compatibility of the difference equation with the partial differential equation and stability of splitting-up algorithm for solution of higher order migration equation are discussed. 本文讨论用分裂算法解高阶偏移方程时所用的有限差分方程与原偏微分方程的相容性和算法的稳定性。 This paper deals with the way to develop the constant velocity median equation of geophysical data processing to the variable velocity medium with the aim of obtaining the variable velocity medium migration equation. 本文将地球物理数据处理中的恒速介质偏移方程,推广到变速介质情况,得到变速介质偏移方程。 The result turns out that the constant velocity medium migration equation is only a special case as the conclusion drawn in the paper stated. 结果表明,恒速介质偏移方程仅是本文所得结论的一种特例。 The finite difference depth migration equation in space-frequency domain can be derived when the radical expression is approximated by continued fraction. 采用连分式近似,可以得到空间频率域的有限差分深度偏移方程。 Starting from 3 D acoustic equation and by introducing reference velocity,the paper deduced formulae of refraction item,and diffraction item and optimized and expanded the later,finally prestack depth migration equation of VSP data and its difference form adapting to any condition of variable velocity has been obtained. VSP数据波动方程叠前深度偏移成像及立体地震成像 . 石油地球物理勘探 ,2 0 0 1,36 (5 ) :5 17～ 5 2 5　　本文从三维声波方程出发 ,通过引入参考速度 ,推导出折射项和绕射项方程 ,并对绕射项进行优化展开 ,得到适应任意变速情况下的 VSP数据波动方程叠前深度偏移方程及其差分格式 ;

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2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社