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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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基于huber范数的地震曲率计算方法
Keywords: huber范数,层位曲率,最小二乘法
Abstract:
？本文分析了基于l2范数的曲率计算方法的不足,指出常规曲率计算方法采用二维中值滤波或距离加权的均值滤波,会导致异常值数据拟合出的曲面严重形变,计算出的曲率误差较大。针对此类问题,笔者给出了基于huber范数的曲率计算方法:在huber范数误差较小时,运用l1范数;反之,则运用l2范数。模型试算验证了基于huber范数计算曲率在刻画异常值和跳跃值方面要优于传统的最小二乘法。实际资料的应用结果表明,基于huber范数的曲率计算方法能够获得比常规的最小二乘法更加清晰而准确的结果。
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| [10] | ekblomhakanandmadscnkaj.algorithmsfornonlinearhuberestimation[j].bit.1989,29(1):60-76
|
| [11] | clacrboutjon.conjugate-directionhuberregression.stanfordexplorationproject，reportsep-92,1997.219-226.
|
| [12] | guittonantoineandwilliamwsymcs.robustandstablevelocityanalysisusingthehuberfunction.stanfordexplorationproject，1999，100(4):239-314.
|
| [13] | guittonantoineandwilliamwsymcs.robustinversionversionofseismicdatausingthehubernorm[j].geophysics.2003,68(4):1310-1319
|
| [14] | guittonantoine.hubcrsolverversusirlsalsorithmforquasil1inversion.stanfordexplorationprojectreport，sep-103,2001:255-271.
|
| [15] | guittonantoine.implementationofanonlinearsolverforminimizingthehubernorm.stanfordexplorationprojectreport,sep-103,2001:281-289.
|
| [16] | 崔树果.东海海域自由表面多次波压制方法研究[博士学位论文].山东青岛:中国海洋大学，2008.
|
| [17] | hatacyoung,wookccnchungandchangsooshin.waveforminversionusingaback-propagationalgorithmandahuberfunctionnorm.geophysics,2009，74(3):r15-r24.
|
| [18] | sigismondimarioeandjuancsoldo.curvatureattrihutcsandseismicinterpretation;casestudiesfromargentinabasins[j].theleadingedge.2003,22(11):1122-1126
|
| [19] | marfurtkurtj.robustestimatesof3dreflectordipandazimuth.geophysics,2006，71(4);p29-p40.
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