摘要
本文讨论了Thomsen给出的横向各向同性介质中的相速度、群速度、群角与相角的函数关系;定义了一个与垂直方向纵横波速度比有关的参数C0;说明了Thomsen参数ε、δ与C0并不是完全独立的,它们的取值范围是相互约束的。文中给出了Thomsen参数ε、δ及C0的取值范围在理论上应满足的相互约束关系;证明了q-P波的群角(θ)是相角θ的单调递增函数及q-P波的相速度和群速度关于相角θ具有一致的单调性;给出了q-SV波的群角(θ)关于相角θ单调的条件,并总结出q-SV波的相速度和群速度关于相角θ的单调不总是一致的。上述分析结果可为采用线性或非线性插值方法确定已知群角所对应的相角以及相速度和群速度提供理论依据。
The paper analyzed and discussed the functional relationship among phase velocity, group velocity, group angle and phase angle in transverse isotropic media given by Mr. Thomsen (1986); defined a parameter C_0 relative to V_P/V_S ratio in vertical directions; illustrated that Thomsen parameters ε, δ and C_0 are not totally independent, their evaluated range should be constrained by each other. The paper pointed out the evaluated ranges of Thomsen parameters ε, δ and C_0 should satisfy this constrained interrelation theoretically; proved the group angle of q-P wave φ(θ) is monotonously increasing function of phase angle θ and have consistent monotonicity of group velocity and phase velocity of q-P wave versus phase angle θ; gave monotonous conditions of group angle of q-SV wave φ(θ) versus phase angle θ and summarized the monotony of group velocity and phase velocity of q-SV wave versus phase angle θ is not always consistent. Analyzed results mentioned above provided a theoretical basis for using linear or non-linear interpolation method to determine the phase angle as well as phase velocity and group velocity relative to the known group angle.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
2006年第4期431-438,共8页
Oil Geophysical Prospecting
关键词
横向各向同性
相速度
相角
群速度
群角Thomsen参数
transverse isotropic, phase velocity, phase angle, group velocity, group angle, Thomsen parameters
作者简介
马德堂，陕西省西安市长安大学理学院，710064
