| 三维叠后差分偏移的因子分解法 |
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| 引用本文： | 张关泉,侯唯健.三维叠后差分偏移的因子分解法[J].地球物理学报,1996,39(3):382-391. |
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| 作者姓名： | 张关泉 侯唯健 |
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| 作者单位： | 中国科学院计算数学与科学工程计算研究所科学与工程计算国家重点实验室, 北京 100080 |
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| 摘 要： | 提出一种三维叠后偏移的一步差分方法，称为因子分解法．差分格式是二阶精度的隐式格式，求解方法与通常一步差分偏移不同，不采用分步法交替求解。ｘ－ｙ方向的二维问题，而是采用因子分解法，将求解的差分方程分解为向前因子和向后因子，从而在一次扫描中同时完成ｘ－ｙ方向的正递归和反递归．为了抑制边界反射，采用了吸收边界条件，给出了理论合成记录和实际记录的偏移结果，数值试验表明该方法具有较好的精度和较高的计算效率．
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| 关 键 词： | 三维叠后偏移 不分步的一步差分偏移 因子分解法 |
FACTORIZATION METHOD FOR 3-D POSTSTACK FINITE DIFFERENCE MIGRATION |
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| ZHANG GUAN-QUAN, HOU WEI-JIAN.FACTORIZATION METHOD FOR 3-D POSTSTACK FINITE DIFFERENCE MIGRATION[J].Chinese Journal of Geophysics,1996,39(3):382-391. |
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| Authors: | ZHANG GUAN-QUAN HOU WEI-JIAN |
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| Institution: | Institute of Computational Mathematics and Scientific/Engineering Computing State Key Laboratory of Scientific and Engineering Computing Academia Sinica, Beijing 100080, China |
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| Abstract: | A difference scheme and an algorithm for 3-D poststack migration are presented. The difference scheme proposed here is implicit and of second order.In order to restrain the reflection on the artificial boundaries, the absorbing boundary conditions are equiped. The algorithm of solving the linear algebraic equations obtained fromthe difference scheme of migration equation and boundary conditions is based on the factorization of the coefficient matrix. The first factor generated by the first order backward difference in both x and y directions is a lower triangular matrix consisting of four diagonal elements. The second generated by the forward difference is an upper triangular one consisting of also four diagonal elements. The algorithm consists in solving successively the linear systems with the lower and upper triangular matrices. In such way the forward and backward recurrences in both x and y directions are fulfilled simultaneously in one sweep. Numerical experiments with the synthetic and field data demonstrate the precision and efficiency of the proposed method. |
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| Keywords: | D poststack migration One-pass finite-difference migration without fractional steps Factorization method |
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