| 波动方程有限差分法叠前深度偏移 |
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| 引用本文： | 耿建华,马在田.波动方程有限差分法叠前深度偏移[J].地球物理学报,1998,41(3):392-399. |
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| 作者姓名： | 耿建华 马在田 |
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| 作者单位： | 同济大学海洋地质与地球物理系,上海,200092 |
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| 基金项目： | 国家自然科学基金，胜利石油管理局联合资助 |
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| 摘 要： | 从地震叠前反射椭圆方程出发，本文导出了基于波动理论的共偏移距地震剖面叠前偏移方程，然后对此方程进行参考速度场中的浮动坐标变换，获得了叠前深度偏移方程．为了解决叠前衍射方程中含有对深度的二阶导数引起波场延拓成像的不适定问题，文中采用低阶偏微分方程组近似描述全上行波的办法，得到了衍射方程的高阶近似方程，并给出了计算衍射方程和折射方程稳定的差分格式，最后用此方法编制的程序对某一碳酸岩地区的地震资料进行了试处理，效果良好．
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| 关 键 词： | 叠前 反射椭圆 深度偏移 高阶近似 有限差分 |
| 收稿时间： | 1996-09-12 |
PRESTACK DEPTH MIGRATION BY WAVE EQUATION FINITE DIFFERENCE |
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| GENG JIAN-HUA,MA ZAI-TIAN,WANG HUA-ZHONG,LEI BING.PRESTACK DEPTH MIGRATION BY WAVE EQUATION FINITE DIFFERENCE[J].Chinese Journal of Geophysics,1998,41(3):392-399. |
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| Authors: | GENG JIAN-HUA MA ZAI-TIAN WANG HUA-ZHONG LEI BING |
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| Institution: | Department of Marine Geology &; Geophysics, Tongji University, shanghai 200092, China |
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| Abstract: | Prestack depth migration is an effective way of imaging complex structures inside the earth. In the paper, it firstly derives common-offset prestack migration wave equation from the prestack reflection ellipse, then by the floating coordinate transform in the reference velocity field, gives prestack depth migration wave equations. When only known wavefields recorded on the surface, the prestack diffraction equation can not be solved because it has second derivative with respect to the term of depth. In order to solve the problem, we use the system of low-order partial differential equations to approximate to upgoing wave and obtain the high-order approximate equations, create the stationary difference scheme of the high-order approximation equation and the refraction. Finally we apply the technique to process the real data and obtain the sahsfactory seismic section. |
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| Keywords: | Prestack Reflection ellipse Depth migration High-order approximation Finite difference |
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