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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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csc频率—空间域波动方程数值模拟
Keywords: 频率&mdash,空间域,csc,系数矩阵,一维数组,lu分解,数值模拟
Abstract:
？针对频率—空间域波动方程数值模拟需要巨大内存空间的现状，提出了利用列索引压缩存储（csc）技术存储大型稀疏非对称复数型的矩阵系数。csc技术将系数矩阵转化为三个一维数组来存储，分别存储系数非零元素、非零元素对应所在的行以及每列起始非零元素所在位置。经csc技术压缩存储后显著减少了内存空间及计算量，在计算时只有少许的非零元素参加计算，且根据三个一维数组可以简便地找到对应的非零元素，进而采用lu分解快速而精确地求解。本文基于jo等提出的最优化9点差分方法，首次应用csc技术在频率—空间域进行二维声波方程数值模拟。通过对corner-edge模型和二维marmousi模型进行试算，可以显著节省内存需求，明显提高计算速度，进而得到精度较高的正演结果。
| [1] | dupuyb,garamboiss.discontinuousgalerkinmethodinfrequency-spacedomainforwavepropagationin2dheterogeneousporousmedia.segtechnicalprogramexpandedabstracts,2010,29:3054-3057.[2]sourbierf,haidara,diraudletal.frequency-domainfull-waveformmodelingusingahybriddirect-iterativesolverbasedonaparalleldomaindecompositionmethod:atoolfor3dfull-waveforminversion?segtechnicalprogramexpandedabstracts,2008,27:2147-2150.[3]吴国忱,梁锴.vti介质频率—空间域准p波正演模拟[j].石油地球物理勘探.2005,40(5):535-545[4]wuguochen,liangkai.quasip-waveforwardmodelinginfrequency-spacedomaininvtimedia.ogp,2005,40(5)535-545.[5]卞爱飞,於文辉,周华伟.频率域全波形反演方法研究进展.地球物理学进展,2010,25(3):982-993.bianaifei,yuwenhui,zhouhuawei.progressinthefrequency-domainfullwaveforminversionmethod.progressingeophysics,2010,25(3):982-993.[6]任浩然,王华忠,龚婷.标量地震波频率—空间域有限差分法数值模拟.石油物探,2009,48(1):20-26.renhaoran,wanghuazhong,gongting.seismicmodelingofscalarseismicwavepropagationwithfinite-differenceschemeinfrequence-spacedomain.gpp,2009,48(1):20-26.[7]吴小平,徐果明,李时灿.利用不完全cholesky共轭梯度法求解点源三维地电场.地球物理学报,1998,41(6):848-855.[8]wuxiaoping,xuguoming,lishican.thecalculationofthree-dimensionalgeoelectricfieldofpointsourcebyincompletecholeskyconjugategradientmethod.chinesejgeophys,1998,41(6):845-855.[9]joch,shinc,suhjh.anoptimal9-point,finite-difference,frequency-space,2-dscalarwaveextrapolator[j].geophysics.1996,61(2):529-537[10]zengyq,hejq,liuqh.theapplicationoftheperfectlymatchedlayerinnumericalmodelingofwavepropagationinporo-elasticmedia[j].geophysics.2001,66(4):1258-1266
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| [2] | dupuyb,garamboiss.discontinuousgalerkinmethodinfrequency-spacedomainforwavepropagationin2dheterogeneousporousmedia.segtechnicalprogramexpandedabstracts,2010,29:3054-3057.
|
| [3] | sourbierf,haidara,diraudletal.frequency-domainfull-waveformmodelingusingahybriddirect-iterativesolverbasedonaparalleldomaindecompositionmethod:atoolfor3dfull-waveforminversion?segtechnicalprogramexpandedabstracts,2008,27:2147-2150.
|
| [4] | 吴国忱,梁锴.vti介质频率—空间域准p波正演模拟[j].石油地球物理勘探.2005,40(5):535-545
|
| [5] | wuguochen,liangkai.quasip-waveforwardmodelinginfrequency-spacedomaininvtimedia.ogp,2005,40(5)535-545.
|
| [6] | 卞爱飞,於文辉,周华伟.频率域全波形反演方法研究进展.地球物理学进展,2010,25(3):982-993.
|
| [7] | bianaifei,yuwenhui,zhouhuawei.progressinthefrequency-domainfullwaveforminversionmethod.progressingeophysics,2010,25(3):982-993.
|
| [8] | 任浩然,王华忠,龚婷.标量地震波频率—空间域有限差分法数值模拟.石油物探,2009,48(1):20-26.
|
| [9] | renhaoran,wanghuazhong,gongting.seismicmodelingofscalarseismicwavepropagationwithfinite-differenceschemeinfrequence-spacedomain.gpp,2009,48(1):20-26.
|
| [10] | 吴小平,徐果明,李时灿.利用不完全cholesky共轭梯度法求解点源三维地电场.地球物理学报,1998,41(6):848-855.
|
| [11] | wuxiaoping,xuguoming,lishican.thecalculationofthree-dimensionalgeoelectricfieldofpointsourcebyincompletecholeskyconjugategradientmethod.chinesejgeophys,1998,41(6):845-855.
|
| [12] | joch,shinc,suhjh.anoptimal9-point,finite-difference,frequency-space,2-dscalarwaveextrapolator[j].geophysics.1996,61(2):529-537
|
| [13] | zengyq,hejq,liuqh.theapplicationoftheperfectlymatchedlayerinnumericalmodelingofwavepropagationinporo-elasticmedia[j].geophysics.2001,66(4):1258-1266
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