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.
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 increasingε;Group and phase velocity for qSV wave are greater with increasingδ;Group and phase velocity for qSH wave are greater with increasingγ.
作者
李勤
赵斌
马随波
LI Qin;ZHAO Bin;MA Suibo(Department of School Geology and Environment,Xian University of Science and Technology,Xian,Shaanxi 710054,China;Shaanxi Provincial Key Laboratory of Geological Support for Coal Green Exploitation,Xian,Shaanxi 710054,China;SHCCIG Yubei Coal Industry Co.Ltd.,Yulin,Shaanxi 719000,China)
出处
《计算物理》
CSCD
北大核心
2020年第6期709-717,共9页
Chinese Journal of Computational Physics
基金
国家自然科学基金项目(41674135,41304105)资助。
关键词
各向异性参数
TTI介质
相速度
群速度
anisotropic parameters
TTI medium
phase velocity
group velocity
