完全匹配层吸收条件下的交错网格弹性波模拟
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
弹性波既包含纵波,又包含横波,同声波相比其与地震波更为相近,所以利用弹性波进行数值模拟更接近实际。本文基于速度-应力弹性波动方程进行有限差分数值模拟,采用交错网格的差分格式,将速度和应力分布于两套网格上。根据需要采用不同阶数的时间和空间差分精度,在保证结果精度的前提上,提高计算效率。为了排除虚假反射的影响,采用完全匹配层吸收条件,建立垂直阶梯模型进行数值模拟,得到对应的波场快照和单炮记录。数值结果分析表明,完全匹配层也可以很好地吸收人工边界产生的虚反射现象。综合利用这两者可以更好地探究弹性波的传播规律,有利于进行精确的数值模拟。
Elastic wave contains both compressional and shear waves,compared with sound waves with the seismic wave is more similar,So using elastic wave numerical simulation is more realistic. This article is based on speed- stress elastic wave equation finite difference numerical simulation,using staggered grid finite difference format,makes the velocity and stress distribution on the two sets of grid. According to the need to adopt different order number of time and space difference accuracy,on the premise of ensure accuracy of the results,improve the efficiency of calculation. In order to eliminate the effects of false reflection using perfectly matched layer absorbing condition,establishing numerical simulation of vertical ladder model,get the corresponding wave field snapshots and single shot records. Numerical results show that perfectly matched layer can well absorb the artificial boundary of ghost phenomenon. Comprehensive utilization of the two can better into elastic wave propagation law,is helpful to precise numerical simulation.
引文
[1]裴正林,牟永光.地震波传播数值模拟[J].地球物理学进展,2004,19(4):933~941.
    [2]李洋森,孟凡顺,李景岩,张亮.基于PML井间可变交错网格的弹性波数值模拟[J].物探化探计算技术,2013,35(2):168~174.
    [3]Francisco J.A.Vanzeler,Viatcheslav Priimenko.Numerical modeling by finite difference of the coupled seismoelectric wave propagation in porous saturated media[J].SEG Technical Program Expanded Abstracts,2007:507~510.
    [4]Chunlei Chu,Paul L.Stoffa.Implicit finitedifference simulations of seismic wave propagation[J].Geophysics,2012,77(2):57~67.
    [5]David F.Aldridge,Leiph A.Preston.Finite‐difference modeling experiments for seismic interferometry[J].SEG Technical Program Expanded Abstracts,2012,1~5.
    [6]何彦锋,孙伟家,符力耘.复杂介质地震波传播模拟中边界元法与有限差分法的比较研究[J].地球物理学进展,2013,28(2):664~678.
    [7]吴宝年,吴肃琴,黄义,丰波.交错网格在伪普法弹性波场数值模拟中的应用[J].石油物探,2012,51(5):440~445.
    [8]王春燕.高阶交错网格有限差分地震波场计算[D].成都理工大学,2007.
    [9]Thomas Bohlen,Erik H.Saenger.Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves[J].Geophysics,2006,71(4):109~115.
    [10]史燕红,马新欣,李魏志,等.高阶交错网格有限差分波场模拟理论研究简析[J].内蒙古石油化工,2008,1:19~22.
    [11]高刚,贺振华,黄德济,等.完全匹配层人工边界条件中的衰减因子分析[J].石油物探,2011,50(5):430~433.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心