| 高阶方程偏移的分裂算法 |
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| 引用本文： | 马在田.高阶方程偏移的分裂算法[J].地球物理学报,1983,26(4):377-389. |
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| 作者姓名： | 马在田 |
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| 摘 要： | 对于用高阶偏微分方程进行地震偏移,本文提出一种分裂算法。有限差分法目前只能解波动方程的二阶和三阶的近似方程的偏移问题,更高阶的近似方程还没有一种有效的解法。利用高阶方程进行偏移会提高偏移的精度和效果。本文就是为了解决这个问题所进行的探索。 本文阐述了分裂算法的原理,并给出了应用该算法解决偏移问题的实例。
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| 关 键 词： | 高阶方程 分裂算法 偏移剖面 偏移处理 波场 波动方程 高阶偏微分方程 二阶方程 偏移程序 空间域 |
| 收稿时间： | 1982-07-01 |
A SPLITTING-UP METHOD FOR SOLUTION OF HIGHER-ORDER MIGRATION EQUATION BY FINITE-DIFFERENCE SCHEME |
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| MA ZAI-TIAN.A SPLITTING-UP METHOD FOR SOLUTION OF HIGHER-ORDER MIGRATION EQUATION BY FINITE-DIFFERENCE SCHEME[J].Chinese Journal of Geophysics,1983,26(4):377-389. |
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| Authors: | MA ZAI-TIAN |
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| Abstract: | Recently, the lower-order migration equations, second-order and third-order migration equations （e. i. first and second approximations of wave equation）, are used in seismic migration practice. They are not accurate enough to migrate the events with steep dips.In order to obtain more accurate migrated seismic data, we need to use the higher-order migration equation. For this purpose we have developed a splitting-up method which is a general algorithm for solving the higher-order migration equations （including third-order equation and over） by finite-difference scheme.The theory of this method is described and some practical experiments are shown is this paper. |
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