基于PML井间可变交错网格的弹性波数值模拟
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摘要
井间地震以其高精度和高分辨率的特点,正在成为解决构造精细成像、储层描述等问题的关键技术,这就需要高精度和高效率的正演模拟技术作为其有效辅助手段。这里基于非均匀介质理论基础的弹性波方程数值模拟方法,将可变交错网格引入到小尺度薄互层非均匀介质井间地震弹性波模拟,对不同尺度的地质体采用不同尺度的网格进行剖分模拟。数值模拟结果表明,可变交错网格在保证模拟精度的前提下,进一步提高了模拟的时效性和对复杂介质模型模拟的适应性,对研究精细的井间地震弹性波场特征和传播规律具有重要的作用。
Crosswell seismic with the characteristics of high precision and high resolution is becoming the key technology solving the problem of structure fine imaging and reservoir description.It needs high accuracy and efficiency of the forward modeling technology as the effective assistant technique for analysis of the real underground seismic wave propagation and identifying complex wave field.According to elastic wave equation numerical simulation method,this paper introduced variable staggered grid technology into the research of crosswell seismic elastic wave simulation,especially for the studying of the small scale,thin interbed and so on.The different scales of geological body use the different scales on the grid division.Numerical simulation results show that variable staggered grids are effective to improve numerical efficiency under the precondition of high precision.The method improved the adaptability of numerical simulation for the complex medium.It has the vital role to study the characteristics of the subtle crosswell seismic wave propagation.
Crosswell seismic with the characteristics of high precision and high resolution is becoming the key technology solving the problem of structure fine imaging and reservoir description.It needs high accuracy and efficiency of the forward modeling technology as the effective assistant technique for analysis of the real underground seismic wave propagation and identifying complex wave field.According to elastic wave equation numerical simulation method,this paper introduced variable staggered grid technology into the research of crosswell seismic elastic wave simulation,especially for the studying of the small scale,thin interbed and so on.The different scales of geological body use the different scales on the grid division.Numerical simulation results show that variable staggered grids are effective to improve numerical efficiency under the precondition of high precision.The method improved the adaptability of numerical simulation for the complex medium.It has the vital role to study the characteristics of the subtle crosswell seismic wave propagation.
引文
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[13]李景叶,陈小宏.TI介质地震波场数值模拟边界条件处理[J].西安石油大学学报:自然科学版,2006,21(4):20.
[14]朱兆林,马在田.各向异性介质中二阶弹性波方程模拟PML吸收边界条件[J].大地测量与地球动力学,27(5):54.
[15]董良国,马在田,曹景忠.一阶弹性波方程交错网格高阶差分解法稳定性研究[J].地球物理学报,2000,43(6):856.
[2]裴正林,夏吉庄,王慧.薄互层油层模型井间地震弹性波方程正演模拟研究[J].石油地球物理勘探,2009,44(1):112.
[3]冯英杰,杨长春,吴萍.地震波有限差分模拟综述[J].地球物理学进展,2007,22(2):487.
[4]刘跃华,赵殿栋,于世焕.井间地震野外采集方法试验研究[J].石油物探,1999,38(4):72.
[5]程冰洁,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.
[6]VIRIEUX J.P-SV wave propagation in heterogene-ous media:velocity-stress finite difference method[J].Geophysics,1986(51):88.
[7]孙成禹,李胜军,倪长宽.波动方程变网格步长有限差分数值模拟[J].石油物探,2008,47(2):123.
[8]MOCZO P.Finite-difference technique for SH waves in2Dmedia,using irregular grids:application to the seismic response problem[J].Geophys.J.Int,1989(99):321.
[9]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.
[10]周学明,李庆春,李志华.地震波交错网格高阶差分数值模拟研究[J].铁道工程学报,2011(8):1.
[11]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411.
[12]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.
[13]李景叶,陈小宏.TI介质地震波场数值模拟边界条件处理[J].西安石油大学学报:自然科学版,2006,21(4):20.
[14]朱兆林,马在田.各向异性介质中二阶弹性波方程模拟PML吸收边界条件[J].大地测量与地球动力学,27(5):54.
[15]董良国,马在田,曹景忠.一阶弹性波方程交错网格高阶差分解法稳定性研究[J].地球物理学报,2000,43(6):856.
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