中文摘要：

速度敏感函数是相（群）速度对各向异性介质参数的偏微分表达式,它是各向异性介质走时扰动方程的重要组成成分,所以具有重要的研究价值.由于群速度是相速度的函数,所以利用相速度偏微分表达速度敏感函数更加简便.参考前人基于VTI介质模型的速度敏感函数计算方法,推导出了基于TTI介质模型以相速度偏微分表达的速度敏感函数计算方法,并对VTI介质和TTI介质的qP波、qSV波和qSH波分别模拟计算了速度敏感函数.对速度敏感函数的特性分析结果表明,不同弹性参数的速度敏感性不同,同一弹性参数不同观测角度的速度敏感性也不同,VTI介质的速度敏感函数存在对称性,而TTI介质的速度敏感函数相对复杂得多.最后利用TI介质反射波非线性走时反演算法对层间块状异常体模型进行了走时反演,反演结果验证了速度敏感函数计算方法的正确性,也证实了速度敏感函数对反演结果具有预测和指示作用.

英文摘要：

Velocity sensitivity function is the derivatives of group velocity or phase velocity with respect to each anisotropic parameter in anisotropic media,which is an important component in first-order traveltime perturbation equation.Therefore,it has significant meaning for us to research the velocity sensitivity function.It is much simpler to use derivatives of phase velocity to calculate velocity sensitivity function,because group velocity is a function of phase velocity.Some scholars have investigated velocity sensitivity function algorithm for VTI media.The velocity sensitivity function algorithm of phase velocity was deduced for TTI media in this article.Moreover,velocity sensitivity functions of qP,qSV and qSH waves for VTI and TTI media are calculated.Research results prove that velocity sensitivities of different elastic parameters are different.The velocity sensitivity function is varying with observation angle for the same elastic parameters.Velocity sensitivity function of TTI medium is much more complicated than that of VTI medium,because the former one has symmetrical characteristics in VTI medium.Finally,we adopt traveltimes of interbedded abnormal body model for tomography.The inversion results verify that the algorithm of velocity sensitivity function is correct and the velocity sensitivity function plays the prediction and indication role for inversion results.