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OALib Journal期刊
ISSN: 2333-9721
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基于l-bfgs算法的时间域全波形反演
Keywords: 全波形反演,非线性反演,标量波方程,最优化方法
Abstract:
？全波形反演是大规模参数、强烈非线性的最小值问题,在数学上利用无约束的非线性最优化方法求解。本文基于标量波动方程,利用最小二乘法建立了无约束的目标函数,推导了时间域目标函数的梯度算子表达式;在迭代求解问题上利用有限内存l-bfgs算法,结合最优化一维线搜索方法,求解全波形反演的强非线性问题。通过复杂断块模型的理论测试验证了反演算法的稳定性和适应性,实际资料的初步测试验证了反演算法的有效性。
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| [2] | 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.
|
| [3] | bianaifei,yuwenhui,zhouhuawei.progressinthefrequency-domainfullwaveforminversionmethod.progressingeophysics,2010,25(3):982-993.
|
| [4] | laillyp.theseismicinverseproblemasasequenceofbeforestackmigrations.conferenceoninversescattering:theoryandapplications,philadelphia,1983,206-220.
|
| [5] | wangchao,zhaowei,gaojinghuai.waveforminversionwithanimproveddifferentialevolutionalgorithm[j].ogp.2012,47(2):225-230浏览
|
| [6] | 单蕊,卞爱飞,於文辉等.利用叠前全波形反演进行储层预测[j].石油地球物理勘探.2011,46(4):629-633浏览
|
| [7] | shannodf.ontheconvergenceofanewconjugategradientalgorithm[j].siamjournalonnumericalanalysis.1978,15(6):1247-1257
|
| [8] | nocedalj.updatingquasi-newtonmatriceswithlimitedstorage[j].mathematicsofcomputation.1980,35(151):773-782
|
| [9] | tarantolaa.inversionofseismicreflectiondataintheacousticapproximation[j].geophysics.1984,49(8):1259-1266
|
| [10] | prattrg,shipprm,songzetal.faultdelineationbywavefieldinversionofcross-boreholeseismicdata.eageconferenceandexhibition,1995.
|
| [11] | prattrg,shincandhickszgj.gauss-newtonandfullnewtonmethodsinfrequency-spaceseismicwaveforminversion[j].geophysicaljournalinternatio-nal.1998,133(2):341-362
|
| [12] | prattrg.seismicwaveforminversioninthefrequencydomain,part1.
|
| [13] | theoryandverificationinaphysicalscalemodel.geophysics,1999,64(3):888-901.
|
| [14] | sirguel,prattrg.efficientwaveforminversionandimaging:astrategyforselectingtemporalfrequencies[j].geophysics.2004,69(1):231-248
|
| [15] | 成景旺,吕晓春,顾汉明等.基于柯西分布的频率域全波形反演[j].石油地球物理勘探.2014,49(5):940-945浏览
|
| [16] | chengjingwang,lü.
|
| [17] | xiaochun,guhanmingetal.fullwaveforminversionwithcauchydistributioninthefrequencydomain[j].ogp.2014,49(5):940-945浏览
|
| [18] | 汪超,赵伟,高静怀.一种用于波形反演的改进差分进化算法[j].石油地球物理勘探.2012,47(2):225-230浏览
|
| [19] | shanrui,bianaifei,yuwenhuietal.pre-stackfullwaveforminversionforreservoirprediction[j].ogp.2011,46(4):629-633浏览
|
| [20] | liudc,nocedalj.onthelimitedmemorybfgsmethodforlargescaleoptimization[j].mathematicalprogramming.1989,45(1-3):503-528
|
| [21] | may,haled.quasi-newtonfull-waveforminver-sionwithaprojectedhessianmatrix.geophysics,2012,77(5):r207-r216.
|
| [22] | 李廷锋.求解大规模无约束优化问题的修正l-bfgs方法[硕士学位论文].河南开封:河南大学,2008.
|
| [23] | byrdrh,nocedalj,schnabelrb.representationsofquasi-newtonmatricesandtheiruseinlimitedmemorymethods[j].mathematicalprogramming.1994,63(1-3):129-156
|
| [24] | 刘陶文.bfgs方法及其在求解约束优化问题中的应用[博士学位论文].湖南长沙:湖南大学,2006.
|
| [25] | plessixr.areviewoftheadjoint-statemethodforcomputingthegradientofafunctionalwithgeophysicalapplications[j].geophysicaljournalinternational.2006,167(2):495-503
|
| [26] | hat,shinc.problemsofconstructingtheapproximatehessianinwaveforminversion.segtechnicalprogramexpandedabstracts,2002,21:961-962.
|
| [27] | 任浩然,黄光辉,王华忠等.地震反演成像中的hessian算子研究.地球物理学报,2013,56(7):2429-2436.
|
| [28] | renhaoran,huangguanghui,wanghuazhongetal.aresearchonthehessionoperatorinseismicinversionimaging.chinesejournalofgeophysics,2013,56(7):2429-2436.
|
| [29] | perryjm.aclassofconjugategradientalgorithmswithatwostepvariablemetricmemory(discussionpaper).northwesternuniversity,1977.
|
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