双相PTL介质地震波场模拟
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
从基于Biot理论建立的双相各向异性弹性波方程出发,推导出二维双相PTL介质弹性波方程。在此基础上,高阶实现了高阶有限差分数值模拟,并对双相PTL介质模型和实际测井数据模型进行模拟试算。基于模拟结果,分析了各类波的传播规律,讨论了弹性参数和耗散系数对地震波传播的影响。结果表明:在双相PTL介质中存在快纵波、慢纵波和SV波,并具有各向异性,两种纵波有明显的区别,快纵波的速度远大于慢纵波的速度;慢纵波具有很强的衰减性,能否观察到慢纵波是与含流体地层介质的耗散性质有关。
Elastic wave equations in a fluid-saturated porous solid of periodic thin layer(PTL)anisotropy are derived from the elastic wave equations in two-phase anisotropic media established on the Biot Theory.On the basis of this,a numerical stimulation of high order finite difference was realized and a trial calculation was done on the model in a fluid-saturated porous solid of periodic thin layer(PTL)anisotropy and on the model with actual logging data.The propagation laws of all kinds of waves were analyzed and the influence of elastic parameters and dissipation coefficient on seismic wave propagation was discussed based on the stimulation result,which shows that ①there is anisotropic fast and slow P-waves and SV wave in a fluid-saturated porous solid of periodic thin layer(PTL)anisotropy;②the speed of the fast P-wave is much higher than that of the slow P-wave;③due to the strong attenuation of the slow P-wave,whether the slow P-wave can be observed or not depends on the dissipative property of the formation with fluids.
引文
[1]牟永光.储层地球物理学[M].北京:石油工业出版社,1996.
    [2]BIOT M A.Theory of propagation of elastic waves in a fluid-saturated porous solid,I.Low-frequency range[J].Journal of the Acoustical Society of America,1956,28:168-178.
    [3]BIOT M A.Theory of propagation of elastic waves in a fluid-saturated porous solid,II.Higher frequency range[J].Journal of the Acoustical Society of America,1956,28:179-191.
    [4]刘银斌,李幼铭,吴如山.横向各向同性多孔介质中的地震波传播[J].地球物理学报,1994,37(4):499-514.
    [5]魏修成,卢明辉,巴晶,等.含黏滞流体各向异性孔隙介质中弹性波的频散和衰减[J].地球物理学报,2008,51(1):213-220.
    [6]WANG R Q,JIA X F,HU T Y.The precise finite differ-ence method for seismic modeling[J].Applied Geophys-ics,2004,1(2):69-74.
    [7]KELLY K R,WARD R W,TREITEL S,et al.Synthetic seismograms:a finite difference approach[J].Geophys-ics,1976,41(1):2-27.
    [8]董良国,郭晓玲,吴晓丰,等.起伏地表弹性波传播有限差分法数值模拟[J].天然气工业,2007,27(10):38-41.
    [9]李卫志,李正文,刘厚军,等.复杂模型高精度有限差分正演模拟[J].内蒙古石油化工,2006,19(10):132-135.
    [10]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.

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