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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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频率域波动方程正演中的多网格迭代算法
Keywords: 频率域,波动方程,正演,双共轭梯度稳定算法,预条件算子,多重网格算法,近似逆
Abstract:
？频率域波动方程求解中,需要对大型的稀疏矩阵求逆。直接解法计算时间长,占用内存大,更难以求解3d问题;目前普遍采用的迭代算法又存在收敛速度慢,用于复杂介质模型甚至存在不收敛的问题。本文选择在外层利用双共轭梯度稳定算法求解不定矩阵,采用一个频率域的衰减波动方程算子作为双共轭梯度稳定算法的预条件算子,然后在内层利用多重网格算法计算该算子的近似逆。文中方法能提高整个迭代算法的收敛速度,解决迭代算法不稳定问题。数值模拟结果验证了文中算法的有效性。
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| [2] | sirguelandprattrg.efficientwaveforminversionandimaging:astrategyforselectingtemporalfrequencies[j].geophysics.2004,69:231-
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| [3] | mulderwaandplessixre.howtochooseasubsetoffrequenciesinfrequency-domainfinite-differencemigration.geophysicaljournalinternational,2004,158:801~812
|
| [4] | lintty,lebede,erlanggayaandherrmannfj.interpolatingsolutionsofthehelmholtzequationwithcompressedsensing.segtechnicalprogramexpandedabstracts,2008,27
|
| [5] | prattrg,shincandhicksgj.gauss-newtonandfullnewtonmethodsinfrequency-spaceseismicwaveforminversion.geophysicaljournalinternational,1998,133:341~362
|
| [6] | prattrgetal.inversetheoryappliedtomult-isourcecross-holetomography.part1:acousticwaveequationmethod.geophysprosp,1990,38:287~310
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| [7] | hbenhadjali,opertos,virieuxjandsourbierf.3dacousticfrequency-domainful-lwaveforminversion.segtechnicalprogramexpandedabstracts,2007,26:1730~1734
|
| [8] | florentsourbieretal.frequency-domainful-lwaveformmodelingusingahybriddirect-iterativesolverbasedonaparalleldomaindecompositionmethod.segtechnicalprogramexpandedabstracts,2008,27
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| [10] | erlanggaya.advancesiniterativemethodsandpreconditionersforthehelmholtzequation[j].archcomputmethodseng.2008,15:37-
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| [11] | saady.iterativemethodsforsparelinearsystem.2nded.societyforindustrialandappliedmathematics,2003
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| [12] | baylissaetal.thenumericalsolutionofthehelmholtzequationforwavepropagationproblemsinunderwateracoustics[j].computmathappl.1985,11:655-
|
| [13] | erlanggayaetal.onaclassofpreconditionersforsolvingthehelmholtzequation[j].appliednumericalmathematics.2004,50:409-
|
| [14] | 田小波等.弹性波场数值模拟的隐式差分多重网格算法[j].地球物理学报.2004,47(1):81-
|
| [15] | 葛永斌等.三维泊松方程的高精度多重网格解法.应用数学,2006,19(2):313~318
|
| [16] | 王守东.声波方程完全匹配层吸收边界.石油地球物理勘探,2003,38(1):31~34
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