粘弹性介质中跨孔波场的交错网格有限差分法正演模拟
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摘要
井间地震正演模拟技术是研究地震波在井间传播规律的重要手段之一,可以帮助认识井间地震的复杂波场。从二维井间地震波传播波动方程出发,结合初始、边界条件,推导出了交错网格任意偶阶精度差分格式,阐述了非均匀差分网格的实现方法。在此基础上,编制了跨孔波场交错网格有限差分正演程序,并应用该程序对半空间粘弹性跨孔模型进行了正演计算,得到了震源在不同位置时的波场快照及地震记录图。这对于跨孔模型波传播规律的研究,具有重要意义。
Forward simulating the crosswell seismic wave is one of important techniques that facilitate studying seismic wave propagation and identifying complex wavefield. Setting out from the two dimension crosswell seismic wave equation and combining the initial and boundary condition, the pair order accuracy difference scheme of random staggered grid was deduced and the realization method of non uniform difference grids was elaborated. On the basis of this, the finite difference forward simulation program of crosswell seismic wave equation was compiled. Tthe wavefield snapshot and earthquake record map of the seismic focus at difference position are simulated for a half space viscoelasticity crosswell model. with the program, which is of far reaching importance to the disciplinary of wave propagation for crosswell model.
Forward simulating the crosswell seismic wave is one of important techniques that facilitate studying seismic wave propagation and identifying complex wavefield. Setting out from the two dimension crosswell seismic wave equation and combining the initial and boundary condition, the pair order accuracy difference scheme of random staggered grid was deduced and the realization method of non uniform difference grids was elaborated. On the basis of this, the finite difference forward simulation program of crosswell seismic wave equation was compiled. Tthe wavefield snapshot and earthquake record map of the seismic focus at difference position are simulated for a half space viscoelasticity crosswell model. with the program, which is of far reaching importance to the disciplinary of wave propagation for crosswell model.
引文
[1]牟永光,裴正林.三维复杂介质地震数值模拟[M],北京:石油工业出版社,2005.
[2]孔庆丰.井间地震波场数值模拟技术研究与应用[J].勘探地球物理进展,2006,29(5):333.
[3]裴正林,王尚旭.任意倾斜各向异性介质中弹性波波场交错网格高阶有限差分法模拟[J].地震学报,2005,27(4):441.
[4]程冰结,李小凡,徐天吉.非均匀介质中交错网格高阶有限差分数值模拟[J].物探化探计算技术,2006,28(4):294.
[5]杜正聪,贺振华,黄德济,等.基于弹性方程与声学方程的裂缝模型正演与偏移[J].物探化探计算技术,2005,27(1):1.
[6]CHARLES CERJIAN,DAN KOSLOFF,RONNIE LOSLOFF,et al.Anonreflecting boundary condition for discrete acoustic and elastic wave equations[J].Geo-physics,1985,50:705.
[7]邵治龙,贺振华,黄德济.正交各向异性介质中地震记录的有限分数值模拟[J].物探化探计算技术,1998,20(4):300.
[8]李振春,张华,刘庆敏,等.弹性波交错网格高阶有限差分法波场分离数值模拟[J].石油地球物理勘探,2007,42(5):510.
[9]裴正林,牟永光.非均匀介质地震波传播交错网格高阶有限差分法模拟[J].石油大学学报(自然科学版),2003,27(6):17.
[10]ROBERTSSON J O A.A numerical free-surface condi-tion for elastic/viscoelastic finite-difference modeling in the presence of opography[J].Geophsics,1996,61:1921·
[2]孔庆丰.井间地震波场数值模拟技术研究与应用[J].勘探地球物理进展,2006,29(5):333.
[3]裴正林,王尚旭.任意倾斜各向异性介质中弹性波波场交错网格高阶有限差分法模拟[J].地震学报,2005,27(4):441.
[4]程冰结,李小凡,徐天吉.非均匀介质中交错网格高阶有限差分数值模拟[J].物探化探计算技术,2006,28(4):294.
[5]杜正聪,贺振华,黄德济,等.基于弹性方程与声学方程的裂缝模型正演与偏移[J].物探化探计算技术,2005,27(1):1.
[6]CHARLES CERJIAN,DAN KOSLOFF,RONNIE LOSLOFF,et al.Anonreflecting boundary condition for discrete acoustic and elastic wave equations[J].Geo-physics,1985,50:705.
[7]邵治龙,贺振华,黄德济.正交各向异性介质中地震记录的有限分数值模拟[J].物探化探计算技术,1998,20(4):300.
[8]李振春,张华,刘庆敏,等.弹性波交错网格高阶有限差分法波场分离数值模拟[J].石油地球物理勘探,2007,42(5):510.
[9]裴正林,牟永光.非均匀介质地震波传播交错网格高阶有限差分法模拟[J].石油大学学报(自然科学版),2003,27(6):17.
[10]ROBERTSSON J O A.A numerical free-surface condi-tion for elastic/viscoelastic finite-difference modeling in the presence of opography[J].Geophsics,1996,61:1921·
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