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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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2.5d傅氏变换法声波方程数值模拟及精度分析
Keywords: 2.5d,声波方程,傅氏变换法,高阶有限差分法,稳定性条件,精度分析
Abstract:
？本文在前人研究的基础上,提出了2.5d傅氏变换法的高阶有限差分算法,推导出2.5d高阶差分算子的稳定性条件,重点进行了2.5d傅氏变换法的精度分析,定性分析了影响2.5d傅氏变换法有限差分数值解精度的可能因素,获得了确保2.5d有限差分数值解逼近3d解析解的模拟参数选取的基本原则。数值模拟结果表明:在恰当的波数最大值限制条件的约束下,可变波数步长和高阶差分算子的使用能够确保2.5d数值解满足3d地震波场数值模拟要求。该算法模拟结果正确,精度高,能够节省计算成本,非常适合处理大尺度地震勘探问题。
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| [2] | blcistcinn.twoandonehalfdimensionalin-planewavepropagation[j].geophysicalprospectiy.1986,34:686-703
|
| [3] | linercl.thcoryofa2.5dacousticwaveequationforconstantdensitymedia.geophysics，1991，56(12):2114-2117
|
| [4] | stockwclljw.2.5dwaveequationandhigh-frcquencyasymptotic[j].geophysics.1995,60(2):556-562
|
| [5] | narayanjp.2.5dnumericalsimulationofacousticwavepropagation.pureandappliedgeophysics，1998，151;47-61
|
| [6] | williamsonpr.acriticalreviewofacousticwavemodelingproceduresin2.5dimensions.geophysics，1995，60(2):591-595
|
| [7] | randallcj.multipoleacousticwavcforminnonaxi-symmetricboreholesandformations[j].jacoustsocam.1991,90(3):1620-1631
|
| [8] | okamotot.tclescismicsyntheticsobtainedfrom3dcalculationsin2dmedia[j].geophysjint.1994,118:613-622
|
| [9] | songzm，williamsonpr.frequency-domainacous-tic-wavemodelingandinversionforcrossholedata;partl2.5dmodelingmethod.geophysics，1995，60(3):784-795
|
| [10] | novaisa，santosi.t.2.5dfinite-differencesolutionoftheacousticwaveequation.geophysicalprospec-tirig,2005，53:523-531
|
| [11] | takenankah.a2.5dtime-domainelectrodynamicsequationforageneralanisotropicmedium.geophysicsjournalinternational，1996，127:fl-f4
|
| [12] | caosh.2.5dmodelingofseismicwavepropaga-tion;boundaryconditionstabilitycriterionandeffi-ciency[j].geophysics.1998,63(6):2082-2090
|
| [13] | silvanf,costajandnovaisa.2.5danisotropice-lacticfinitcdifferencemodeling.expandedabstractsof76thsegmtg,2006,2275
|
| [14] | 刘洋，李承楚，牟永光.任意偶数阶精度有限差分法数值模拟.石油地球物理勘探，1998,33(1);l-10
|
| [15] | 廖振鹏.近场波动的数值模拟.力学进展，1997,27(2):193-212
|
| [16] | 孙建国.声波散射数值模拟的两种新方案.吉林大学学报，2006,5:863-868
|
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