| 波动方程模型和偏移的拟合解法 |
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| 引用本文： | 赵振飞.波动方程模型和偏移的拟合解法[J].地球物理学报,1993,36(4):510-518. |
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| 作者姓名： | 赵振飞 |
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| 作者单位： | 石油地球物理勘探局研究院, 河北涿州 072750 |
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| 摘 要： | 本文提出一个较差分法精确的波动方程的数值解法--拟合法,拟合法与差分法的区别在于方程的离散化方法.文章通过对差分离散化实现过程的分析指出差分离散化存在的不足,并进而给出了拟合离散化方法.与差分法比较,拟合法的算子系数具有方程整体统筹性,是在具体的采样间隔、步长条件下的最佳系数,因而能适应样点间隔、步长等条件的变化,精度较高.文中还给出了模型及实例.
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| 关 键 词： | 差分法 拟合法 离散化 |
| 收稿时间： | 1991-08-26 |
A FITTING SOLUTION FOR WAVE EQUATION MODELLING AND MIGRATION |
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| ZHAO ZHEN-FEI.A FITTING SOLUTION FOR WAVE EQUATION MODELLING AND MIGRATION[J].Chinese Journal of Geophysics,1993,36(4):510-518. |
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| Authors: | ZHAO ZHEN-FEI |
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| Institution: | Geophysical Research Institute Bureau of Geophysical Prospecting, Zhuozhou 072750 |
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| Abstract: | This paper presents a new numerical fitting solution (NFS) for wave equation modelling and migration, which is more accurate than the conventional difference solution (CDS).The main difference between NFS and CDS lies in the methods of the discretization of the wave equation. The paper points out the disadvantages and problems of the difference discrete method by analyzing its implementation procedure and introduces a new fitting discrete method. Compared with the difference method, NFS takes the overall considerations to the wave equation and its numerical operators, with the fixed sample interval and step length, are the optimal ones, therefore, NFS is able to adapt itself to the variations of such parameters as the sample interval, the step length and the velocity, etc. and offers a more accurate solution than CDS does.The paper also gives an NFS migration design example, analyzes its result and provides a set of the NFS migration figures. |
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| Keywords: | Difference method Fitting method Discretization |
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