曲线坐标系下的块体运动与应变模型研究

本文建立了顾及地球扁率和局部切标架随点变化特性的椭球坐标系下的刚体运动模型和块体运动与应变模型，以及球坐标系下顾及局部切标架随点变化特性的严密的块体运动与应变模型，分析了球坐标系下块体运动与应变模型及椭球坐标系下的块体运动与应变模型间的差异；通过计算具体讨论了地球扁率和曲线坐标系的局部切标架随点变化特性对欧拉矢量与应变张量的影响.结果表明：地球扁率对刚体欧拉矢量和应变参数的影响甚小，具体计算时可以不予考虑，但曲线坐标系的局部切标架随点变化特性对两者的影响较大，在建模过程中需要顾及，常用的Savage模型需要修正.

Analyses of crustal motion and deformation models in a curvilinear coordinate system

We present rigid block motion model and strain rate model in a geodetic coordinate system as well as those in a spherical coordinate system under the framework of tensor analysis. Both eccentricity and local tangential moving frame are now considered in these models,which is not the case for previous modeling. To explore the effects of these two geometrical characteristics,we investigate differences in parameters such as Euler pole and strain rate tensor by employing these models to invert them. Our results show that the eccentricity has minor effects on determining Euler pole and strain rate tensor,indicating that it is reasonable not to consider crustal motion and deformation models in a geodetic coordinate system. On the contrary,the local tangential moving frame plays a big role in changing both of them,meaning that the local frame of velocity being different at each observation site should be taken account of when one builds up strain model in a curvilinear coordinate system. Accordingly,the conventional Savage's crustal deformation model should be refurnished.