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高阶交错网格有限差分法的地震波场数值模拟
引用本文:杨圳,李蓉艳,岳继光,萧蕴诗. 高阶交错网格有限差分法的地震波场数值模拟[J]. 北方交通大学学报, 2012, 0(5): 68-72,83
作者姓名:杨圳  李蓉艳  岳继光  萧蕴诗
作者单位:同济大学电子与信息工程学院,上海200092
基金项目:国家自然科学基金资助项目(40872090)
摘    要:基于地震波波动方程和有限差分法,针对多种不同的复杂地质模型,进行高阶交错网格地震波场模拟仿真研究.首先对地震波波动方程原始形式进行推演,得到一阶速度应力弹性波方程,然后用时空二元高阶交错差分网格的方法对其进行离散化,最后对三层背斜模型、断层模型和含油模型进行了数值模拟实验,获取相应的波场快照和地震道图像进行对比分析,并讨论了差分阶次对于仿真精度的影响.仿真结果表明:算法计算精度准确,计算效率高,适合于模拟非均匀介质、复杂构造和复杂地质体的地震波场.

关 键 词:地震波  波动方程  高阶  交错网格  有限差分法

Seismic wave field numerical modeling with high-order finite-differential method
YANG Zhen,LI Rongyan,YUE Jiguang,XIAO Yunshi. Seismic wave field numerical modeling with high-order finite-differential method[J]. Journal of Northern Jiaotong University, 2012, 0(5): 68-72,83
Authors:YANG Zhen  LI Rongyan  YUE Jiguang  XIAO Yunshi
Affiliation:(College of Electrical and Information Engineering,Tongji University,Shanghai 200092,China)
Abstract:Based on seismic wave equation and finite-differential method,seismic wave field numerical modeling with high-order staggered mesh is studied for different complicated geographical mode.First,seismic wave equation is derived to obtain one-order stress-velocity equation,then,the equation is discretized in time and space by staggered mesh finite-differential method.This method is used to simulate three-level strata sloping downward model,fault model and oil layer model and the differential order of the simulation accuracy is discussed.The results indicated this method is suit for simulating non-homogeneous media and complicated geographical mode with high accuracy and efficiency.
Keywords:seismic wave  wave equation  high-order  staggered mesh  finite-differential method
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