求解模型对欧拉矢量的影响

Effect of solving models on Euler vector

摘要:

利用GNSS水平运动场求解欧拉矢量时,待估参数的个数会对欧拉矢量结果产生影响,针对该问题本文分别从理论推导和具体算例角度进行了分析。首先从理论上推导出不同的求解模型得到的欧拉矢量的差异;然后以2004～2007年中国大陆GNSS水平运动场为基础,选用两种常用的求解模型（块体整体旋转模型和块体的整体旋转与均匀应变模型）,讨论了求解模型对欧拉矢量及后续研究的影响。结果表明,两种模型下块体整体旋转的差异最大可达2.60mm·a-1,是不能忽略的。因此认为选用不同的块体运动模型会得到不同的地壳水平运动图像,在地壳水平运动分析中对此需加以重视。

Abstract:

In the process of solving Euler vector basing on GNSS horizontal movement field, the number of estimated parameter can affect the results of Euler vector. This issue is analyzed through theoretical deduction and practical example in this paper. Firstly, the difference between the results of Euler vector in different solving models is deduced. Meanwhile, basing on GNSS horizontal movement field in Chinese mainland from 2004 to 2007, two common models （ RRM and REHSM） were used to discuss the impact of solving model on Euler vector and follow-up study. The result shows that the maximum value of the difference in block＇s entire rotation can reach 2.6mm. a-1, and it should not be ignored. Therefore, the results of horizontal movement are different when different kinematic block models are used, and it should be paid more attention to in the analysis of crustal horizontal movement.