| 有限元法解波动方程偏移过程中的稳定性分析 |
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| 引用本文： | 王润秋. 有限元法解波动方程偏移过程中的稳定性分析[J]. 石油地球物理勘探, 1993, 0(6) |
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| 作者姓名： | 王润秋 |
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| 作者单位： | 石油大学地球科学系 Earth |
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| 摘 要： | 在使用有限元法求解波动方程偏移过程中,由于未知量数目巨大,需要花费大量的计算机存储空间和计算时间。选取合适的空间网格距离和时间迭代步长,是该方法应用到实际资料处理中的关键。解决这个问题需要稳定性理论的指导。已往有关这方面的结论,因求解大型矩阵特征值比较困难,一直未能给出有直接指导意义的稳定性临界公式。本文采用矩阵直接乘的分解方法,得到有限元计算模式中的稳定性临界公式。
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| 关 键 词： | 有限元法 波动方程偏移 稳定性分析 临界公式 |
Stability analysis in wave equation migration using finite element method. |
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| Wang Runqiu Earth Science Department,China Petroleum University,P.O.Box ,No. College Road,Beijing,Internal Postcode:. Stability analysis in wave equation migration using finite element method.[J]. Oil Geophysical Prospecting, 1993, 0(6) |
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| Authors: | Wang Runqiu Earth Science Department China Petroleum University P.O.Box No. College Road Beijing Internal Postcode: |
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| Affiliation: | Wang Runqiu Earth Science Department,China Petroleum University,P.O.Box 902,No.20 College Road,Beijing,Internal Postcode:100083 |
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| Abstract: | In wave equation migration using finite element method,a great deal of comput- er's internal storage and computer time are used because of too many unknowns in- volved.The key to successful application of this method in real data processing lies in appropriate spacial grids and time iteration step size.Stability theory must be used as guidance for solving this problem.There is no significant critical formula of stability in the previous literatures of the field because it is quite difficult to solve for the characteristic value of big matrix.The critical formula of stability in finite el- ement computation schema is deduced by adopting the decomposition in which direct matrix multiplication is made. |
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| Keywords: | finite element wave equation migration stability analysis critical formula |
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