| 傅里叶有限差分法三维波动方程正演模拟 |
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| 引用本文： | 张金海,王卫民,赵连锋,姚振兴.傅里叶有限差分法三维波动方程正演模拟[J].地球物理学报,2007,50(6):1854-1862. |
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| 作者姓名： | 张金海 王卫民 赵连锋 姚振兴 |
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| 作者单位： | 中国科学院地质与地球物理研究所，北京 100029 |
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| 基金项目： | 中国科学院知识创新工程重要方向项目(KZCX2-YW-101)资助 |
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| 摘 要： | 傅里叶有限差分(FFD)法兼有相位屏法和隐式有限差分法二者的优势，能够处理复杂地质构造中的波传播问题，但在三维情形下，算子的双向分裂会引起明显的方位各向异性误差.本文用Fourier变换计算双向分裂过程中的高阶交叉项，消除了方位各向异性误差.该方法充分利用了FFD法在双域实现的算法结构，明显减少了由于引入误差校正所带来的计算量.将该方法应用于修改后的三维French模型的地震正演问题，并将得到的叠后记录、单炮记录同全波有限差分法的模拟结果进行对比，结果证实了该方法对一次反射波具有较高的模拟精度，在内存需求和计算效率方面则具有更大的优势.
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| 关 键 词： | 三维正演模拟 傅里叶有限差分 双向分裂 波动方程 |
| 文章编号： | 0001-5733（2007）06-1854-09 |
| 收稿时间： | 2007-4-4 |
| 修稿时间： | 2007-04-04 |
Modeling 3-D scalar waves using the Fourier finite-difference method |
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| ZHANG Jin-Hai,WANG Wei-Min,ZHAO Lian-Feng,YAO Zhen-Xing.Modeling 3-D scalar waves using the Fourier finite-difference method[J].Chinese Journal of Geophysics,2007,50(6):1854-1862. |
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| Authors: | ZHANG Jin-Hai WANG Wei-Min ZHAO Lian-Feng YAO Zhen-Xing |
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| Institution: | Institute of Geology and Geophysics，Chinese Academy of Sciences，Beijing 100029，China |
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| Abstract: | Fourier finite-difference(FFD) operator has both of the advantages of Fourier and finite-difference methods,it can handle the wave propagations in complex media with large velocity contrasts and wide propagation angles.In 3-D case,however,two-way splitting may cause artificial azimuthal anisotropy.In this paper,we handle the remnants of the conventional two-way splitting technique by Fourier transforms,and the azimuthal anisotropy is removed.Based on the dual-domain scheme of the FFD method,the proposed algorithm significantly reduces computational cost caused by error correction.Compared with the finite-difference method by the zero-offset records and shot profiles based on 3-D modified French model,the proposed method can properly model the primary reflected waves and is much more attractive in both computational cost and storage demand. |
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| Keywords: | 3-D modeling Fourier finite-difference Two-way splitting Wave equation |
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