TTI煤层群、相速度分析

doi:10.19596/j.cnki.1001-246x.8151

计算物理 ›› 2020, Vol. 37 ›› Issue (6): 709-717.DOI: 10.19596/j.cnki.1001-246x.8151

TTI煤层群、相速度分析

李勤^1,2, 赵斌^1,3, 马随波^1,3

1. 西安科技大学地质与环境学院, 陕西西安 710054;
2. 陕西省煤炭绿色开发地质保障重点实验室, 陕西西安 710054;
3. 陕西陕煤榆北煤业有限公司, 陕西榆林 719000

收稿日期:2019-09-23 修回日期:2019-11-22 出版日期:2020-11-25 发布日期:2020-11-25
通讯作者: 赵斌(1994-),男,硕士研究生,地球探测与信息技术专业,E-mail:1046700713@qq.com
作者简介:李勤(1979-),女,博士,副教授,从事地震波各向异性研究,E-mail:eriliqin@126.com
基金资助:
国家自然科学基金项目（41674135，41304105）资助

Group Velocity and Phase Velocity Analysis of TTI Coal Seam

LI Qin^1,2, ZHAO Bin^1,3, MA Suibo^1,3

1. Department of School Geology and Environment, Xi'an University of Science and Technology, Xi'an, Shaanxi 710054, China;
2. Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation, Xi'an, Shaanxi 710054, China;
3. SHCCIG Yubei Coal Industry Co. Ltd., Yulin, Shaanxi 719000, China

Received:2019-09-23 Revised:2019-11-22 Online:2020-11-25 Published:2020-11-25

摘要/Abstract

摘要： 以各向异性介质弹性矩阵为理论基础，结合TTI介质群、相速度相关公式，设计含有倾斜对称轴的横向各向同性煤层模型，通过模型试算，得到以下结论：随着各向异性参数ε、δ、γ变化，TTI型煤层相速度变化较为平缓，群速度变化较为剧烈，因此群速度决定着各向异性介质波场形状；在一定范围内，qP波的群、相速度随ε呈正相关变化；qSV波的群、相速度随δ呈负相关变化；qSH波的群、相速度只与各向异性参数γ有关，随γ呈正相关变化.

关键词: 各向异性参数, TTI介质, 相速度, 群速度

Abstract: We combine group velocity formula and phase velocity formula in tilted transverse isotropy (TTI) media with elastic matrix theory in anisotropic media,and design a model in transversely isotropic (TTI) strata with inclined symmetry axis. According to the model,velocity of TTI coal bed phase velocity changes gently with the change of anisotropic parameter while group velocity change fiercely. Therefore, group velocity determines the wave field shape of anisotropic media; Within a certain range, group and phase velocity for qP wave are greater with increasing ε; Group and phase velocity for qSV wave are greater with increasing δ; Group and phase velocity for qSH wave are greater with increasing γ.

Key words: anisotropic parameters, TTI medium, phase velocity, group velocity

中图分类号:

P631

李勤, 赵斌, 马随波. TTI煤层群、相速度分析[J]. 计算物理, 2020, 37(6): 709-717.

LI Qin, ZHAO Bin, MA Suibo. Group Velocity and Phase Velocity Analysis of TTI Coal Seam[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(6): 709-717.

参考文献

[1] 司芗. TTI介质弹性波反射透射特征研究[D].山东东营:中国石油大学(华东),2012.
[2] WU G C,LIANG K,QI Y P. Phase velocity and group velocity in 3D TTI media[J]. Progress in Geophys,2009,24(6):2097-2105.
[3] 梁锴. TI介质地震波传播特征与正演方法研究[D]. 山东东营:中国石油大学,2009.
[4] THOMSEN L. Weak elastic anisotropy[J]. Geophysics,1986,51(10):1954-1966.
[5] DU X D,WENG B X,LIU J R,et al. Migration velocity modeling strategies of TI media[J]. Chinese J Geophys,2008,51(2):538-545.
[6] GUI Zhixian,HE Zhenhua.The simulating and characters of P wave seismic record in the fracture medium[J]. Chinese Journal of Computational Physics,2004(1):91-94.
[7] NIU Binhua,HE Qiaodeng,SUN Chunyan. Numerical simulation of VSP multi component recording in fissure anisotropic medium[J]. Acta Geophysica Sinica,1995,38(4):519-527.
[8] HAO Zhongtao,YAO Chen,WANG Xun. The charaeteristies of velocities with azimuth variation for arbit rary spatial orientation TI media[J]. Progress in Geophysics,2006,21(2):524-530.
[9] HAO Zhongtao,YAO Chen.Analysis of body-wave velocity characteristies for TI medium with arbitrary spatial orientation[J]. Chinese Journal of Geophysics,2007,50(2):546-555.
[10] XUAN Y H,HE Q D,LIN Y. Phase veloeity in 2D TTI media[J]. Applied Geophsics,2007,4(1):25-28.
[11] LI Lei. Phase velocity,group velocity and ray parameters in TI medium[J]. Geophysical Prospecting for Petroleum,2008(04):334-337.
[12] BERRYMAN J G. Long-wave elastic anisotropy in transversely isotropic media[J]. Geophysics,1979,44(5):896-917.
[13] LI Lei,HAO Zhongtao. Constraints on anisotropy parameters of transverse isotropic media and rhomboidal media[J]. Chinese Journal of Geophysics,2011,54(11):2819-2830.
[14] 欧阳进. VTI介质射线追踪正演模拟研究[D]. 西安:长安大学, 2016.
[15] LI Qin,LI Yongbo,LI Qingchun. Seismic wave response of vertical fissure anisotropic coal seam[J]. Chinese Journal of Geophysics,2019,62(1):306-315.
[16] CHEN Shengchang,MA Zaitian. Wave equation method for wavefield propagation path tracing[J].Chinese Journal of Computational Physics,2008(2):186-190.
[17] QIAN Jin,CUI Ruofei,CHEN Tongjun. Finite difference numerical simulation of anisotropic media in coal-bearing strata[J]. Coal Geology and Exploration,2010,38(2):63-67.
[18] MUSGRAVE M J P. Crystal acoustics[M]. San Francisco:Holden-Day,1970:94-96.
[19] LI Qin,LI Qingchun,ZHANG Lin. Seismic response of anisotropic coal based on ray theory[J]. Chinese Journal of Computational Physics,2014,31(4):444-448.
[20] 吴国忱.各向异性介质地震波传播与成像[M]. 山东东营:中国石油大学出版社,2006.
[21] CRAMPIN S. A review of wave motion in anisotropic and cracked elastic-media[J]. Wave Motion,1981,3:343-391.
[22] LIANG Kai,JIN Shixun,YIN Xingyao. General approximation of elastic wave phase velocity in TTI medium[J]. Petroleum Geophysical Exploration,2018,57(6):813-822.
[23] LI Lei,HAO Chongtao. Constraints on anisotropic parameters of transverselly isotropic and rhombic media[J]. Chinese Journal of Geophysics,2011,54(11):2819-2830.
[24] WU Guochen,LIANG Kai,QI Yanping. Phase and group velocities of three-dimensional TTI[J]. Progress in Geophysics,2009,24(6):2099-2102.

TTI煤层群、相速度分析

Group Velocity and Phase Velocity Analysis of TTI Coal Seam

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	毛枚良, 邓小刚, 李松. 耗散紧致格式的频谱特性研究与应用[J]. 计算物理, 2009, 26(3): 371-377.
[2]	程军波, 傅德薰, 马延文. Richtmyer-Meshkov失稳的数值模拟[J]. 计算物理, 2001, 18(5): 390-396.
[3]	王强, 傅德薰, 马延文. 一类迎风紧致差分格式全离散特性分析[J]. 计算物理, 1999, 16(5): 489-495.
[4]	朱庆勇, 马延文. 求解双曲型守恒律方程的高精度迎风紧致群速度控制法[J]. 计算物理, 1998, 15(5): 531-536.