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用于声波正演模拟的时空域高精度交错网格有限差分方法
引用本文:李斌,温明明,牟泽霖.用于声波正演模拟的时空域高精度交错网格有限差分方法[J].CT理论与应用研究,2017,26(3):259-266.
作者姓名:李斌  温明明  牟泽霖
作者单位:1. 中国地质调查局广州海洋地质调查局, 广州 510075;
基金项目:国家重点研发计划重点专项项目“近海底高精度水合物探测技术”
摘    要:地震正演模拟是逆时偏移和全波形反演中的核心问题之一,因为它们都需要高效、高精度地模拟波场正向和反向传播。为了提高数值模拟的精度,人们广泛采用高阶有限差分方法,但是大多数方法仅在空间上具有更高的精度,在时间上只有二阶精度。首先系统介绍时空域高精度交错网格有限差分方法的基本原理,然后利用模型验证方法的有效性,结果表明:时空域高精度交错网格有限差分方法拥有比常规交错网格有限差分方法更低的数值频散。 

关 键 词:声波方程正演模拟    时空域    交错网格    有限差分
收稿时间:2016-11-21

Staggered-grid Finite-difference Method with High-order Accuracy in Time-space Domains for Acoustic Forward Modeling
LI Bin,WEN Ming-ming,MU Ze-lin.Staggered-grid Finite-difference Method with High-order Accuracy in Time-space Domains for Acoustic Forward Modeling[J].Computerized Tomography Theory and Applications,2017,26(3):259-266.
Authors:LI Bin  WEN Ming-ming  MU Ze-lin
Institution:1. Guangzhou Marine Geological Survey, China Geological Survey, Guangzhou 510075, China;2. Key Laboratory of Marine Mineral Resources, Ministry of Land and Resources, Guangzhou 510075, China
Abstract:Seismic modeling is one of the key problems in reverse time migration and full waveform inversion,because both of them require efficient and accurate simulation of forward and backward wave propagation.In order to improve the accuracy of numerical simulation,the high order finite difference method is widely used,but most of the methods have high-order accuracy in space while only second-order accuracy in time.In this paper,we first introduced basic principle of the finite difference method with high-order accuracy not only in space,but also in time.Then the model is utilized to verify the effectiveness of the method.The results show that the finite difference methods with high-order accuracy in time-space domains have lower dispersion than the conventional staggered-grid finite difference method.
Keywords:acoustic wave equation forward modeling  time-space domain  staggered-grid  finite difference
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