| Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation |
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| 引用本文： | Jia Xiaofeng. Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation[J]. 中国地震研究, 2004, 18(1): 36-41 |
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| 作者姓名： | Jia Xiaofeng |
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| 作者单位： | [1]schoolofEarthandSpaceSciences,PekingUniversity,Beijing100871,China [2]SchoolofResourcesandInformationTechnology,UniversityofPetroleum,Beijing102200.China |
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| 基金项目： | ThisprojectwassponsoredbytheBasicResearchoftheMinistryofScienceandTechnology，theNationalNaturalScienceFoundation (4 0 2 74 0 4 1 )，ChinaandtheKeyExplorationGeophysicsExperiment，PetroleumandGasGroupofChina . |
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| 摘 要： | Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper, the arbitrary difference precise integration (ADPI) method is discussed and applied in seismic migration. The ADPI method has its own distinctive idea. When dispersing coordinates in the space domain, it employs a relatively unrestrained form instead of the one used by the conventional finite difference method. Moreover, in the time domain it adopts the sub-domain precise integration method. As a result, it not only takes the merits of high precision and narrow bandwidth, but also can process various boundary conditions and describe the feature of an inhomogeneous medium better. Numerical results show the benefit of the presented algorithm using the ADPI method.
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| 关 键 词： | 波动方程 有限差分法 精度 地震成像 |
Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation |
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| Jia Xiaofeng. Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation[J]. Earthquake Research in China, 2004, 18(1): 36-41 |
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| Authors: | Jia Xiaofeng |
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| Affiliation: | Jia Xiaofeng 1),Wang Runqiu 2) and Hu Tianyue 1) 1) School of Earth and Space Sciences,Peking University,Beijing 100871,China 2) School of Resources and Information Technology,University of Petroleum,Beijing 102200,China |
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| Abstract: | Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper, the arbitrary difference precise integration (ADPI) method is discussed and applied in seismic migration. The ADPI method has its own distinctive idea. When dispersing coordinates in the space domain, it employs a relatively unrestrained form instead of the one used by the conventional finite difference method. Moreover, in the time domain it adopts the sub domain precise integration method. As a result, it not only takes the merits of high precision and narrow bandwidth, but also can process various boundary conditions and describe the feature of an inhomogeneous medium better. Numerical results show the benefit of the presented algorithm using the ADPI method. |
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| Keywords: | Wave equation Migration Arbitrary difference precise integration Finite difference Precision |
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