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双相TI介质中弹性波交错网格高阶有限差分法数值模拟
引用本文:尹学爱,邱光辉.双相TI介质中弹性波交错网格高阶有限差分法数值模拟[J].物探化探计算技术,2012,34(5):533-540.
作者姓名:尹学爱  邱光辉
作者单位:1. 滨州学院,山东滨州,256603
2. 中化地质矿山总局 山东地质勘查院,山东济南,250013
基金项目:滨州学院科研基金(BZXYLI107)
摘    要:应用双相介质波动方程,推导了双相横向各向同性介质(TI)中波动方程的有限差分格式,对双相TI介质中弹性波有限差分数值进行了模拟.结果表明,弹性波在双相TI介质中传播时,除了存在常规的快纵波(qP1)和横波以外,还存在慢纵波( qP2).并且慢纵波的速度明显小于快纵波,而且受耗散系数的影响衰减地很快,所以在实际中很难观测到慢纵波.快纵波在固相和流相中相位相同,而慢纵波在固相和流相中的相位相反.慢纵波在流相中振幅大,而在固相中的振幅较小.

关 键 词:双相横向各向同性介质  交错网格  有限差分法  弹性波

ELASTIC WAVE NUMERICAL SIMULATION IN TWO-PHASE TRANSVERSELY ISOTROPIC MEDIUM BY HIGH-ORDER STAGGERED-GRID FINITE DIFFERENCE METHOD
YIN Xue-ai,QIU Guang-hui.ELASTIC WAVE NUMERICAL SIMULATION IN TWO-PHASE TRANSVERSELY ISOTROPIC MEDIUM BY HIGH-ORDER STAGGERED-GRID FINITE DIFFERENCE METHOD[J].Computing Techniques For Geophysical and Geochemical Exploration,2012,34(5):533-540.
Authors:YIN Xue-ai  QIU Guang-hui
Institution:1.Binzhou University,Binzhou 256603,China;2.Institute of Geological Prospecting Shandong,Bureau of Chemical Geology and Mine,Jinan 250013,China).
Abstract:Finite differential format of wave equation in two-phase transverse isotropic media(TI) is obtained by solving two-phase media wave equation,and the numerical simulation of elastic wave finite difference is carried out in two-phase TI media.The results show that in the two-phase elastic wave propagation in TI media,in addition to existing conventional fast P wave(qP1) and S wave,there is slow P wave(qP2),slow P wave was significantly less than the speed of fast P wave,and the dissipation coefficient attenuate very quickly,so in practice it is difficult to observe slow P wave.The phase of the fast P wave is same in both solid phase and liquid phase,and that of the slow P wave is reverse.the amplitude of the slow P wave in liquid phase is bigger than that in solid phase.
Keywords:two-phase transversely isotropic media  staggered-grid  finite difference method  elastic wave
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