利用双h类岭估计求解板块运动的欧拉参数

Solving the Euler Parameters of Plate Motion with Double H Class Ridge Estimate

在求解板块运动参数的过程中,选用的台站分布越合理,参加解算的测站数据越多,求解的参数精度也就越高,但随之带来的就是系数矩阵的病态性问题,为了解决这个问题,采用了双h类岭估计方法对北美板块的欧拉参数进行估计,求出欧拉参数及其中误差,以及板块运动水平速度的残差百分比,并将求得的欧拉参数与其他模型进行对比,结果显示模型间具有较好的一致性,但仍有一定的差异;此外,测站速度残差0~1mm的百分比在80%以上,表明利用此方法求解精度较好。

In the process of solving the parameters of plate motion, the more reasonable distribution of stations and the more station data are used, the higher precision parameters will be possessed.But then the question of the ill-posed coefficient matrix is followed.In order to solve this problem, this paper uses the double h class ridge estimate to solve Euler parameters of the North American plate and their root mean square errors, and residual percentage of the plate motion＇ s horizontal velocity is also obtained. Compared with the Euler parameters of other models,the calculated parameters have a better consistency,but there are still some differences.More than 80% of the velocity residual errors are between 0 and 1 mm, which indicates that the proposed method can obtain the Euler parameters accurately.