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一种适于强横向变速的高阶差分正演模拟方法
引用本文:王延光,李振春,穆志平,马在田,王华忠.一种适于强横向变速的高阶差分正演模拟方法[J].中国石油大学学报(自然科学版),2002,26(5).
作者姓名:王延光  李振春  穆志平  马在田  王华忠
作者单位:1. 胜利油田有限公司物探研究院,山东东营,257022
2. 石油大学地球资源与信息学院,山东东营,257061
3. 同济大学海洋系,上海,200092
基金项目:国家自然科学基金会与大庆石油管理局联合资助项目 (4 9894190 2 4)
摘    要:波动方程正演模拟法相对于射线法具有精度高、效率低的特点。为了提高其效率 ,提出了一种高阶差分正演模拟方法。该方法考虑了速度场局部的强横向变化 ,适于复杂介质的正演模拟 ;在相同精度下 ,高阶差分的空间横向间隔可取为低阶差分的 2~ 4倍 ,有较高的计算效率 ;高阶差分加上合适的边界条件能较好地解决网格频散和边界效应问题。通过对Marmousi模型的试算 ,验证了该方法对复杂速度模型的适应性、有效性和实用性。

关 键 词:波动方程  高阶差分  正演模拟  横向变速  吸收边界

A high-order finite-difference forward-modelling method fit for strong lateral velocity variation
WANG Yan guang,LI Zhen chun,MU Zhi ping,et al..A high-order finite-difference forward-modelling method fit for strong lateral velocity variation[J].Journal of China University of Petroleum,2002,26(5).
Authors:WANG Yan guang  LI Zhen chun  MU Zhi ping  
Institution:WANG Yan guang,LI Zhen chun,MU Zhi ping,et al. Shengli Oilfield Stock Company,Dongying 257022
Abstract:The forward modelling method of wave equation is of a high precision and a lower computing efficiency compared with the ray theory based method. A high order finite difference forward modelling method was proposed to improve its efficiency.The local strong lateral velocity variation was taken into consideration in this method, so it fits for the forward modelling in complicated media. For the same precision of simulation, the high order finite difference method has a higher computing efficiency, as its depth interval can be selected by 2 4 times of the depth interval of the low order difference method. When a suitable boundary condition is given, this method can solve the problems of the numerical dispersion and boundary effectiveness. The application to Marmousi model shows that the adaptability, effectiveness and utilities of the method to the complex velocity model are qualified.
Keywords:wave equation  high  order finite  difference  forward modelling  lateral velocity variation  absorbing boundary
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