面向地表三维形变解算的SOR迭代拟合推估GPS-InSAR联合模型应用研究  

Research of GPS-InSAR Joint Solution to Three-dimensional SurfaceDeformation Using SOR Optimizing Fitting Estimation Model

作　　者：卞迎威 BIAN Yingwei(Zhejiang Academy of Surveying and Mapping,Hangzhou 311100,China)

机构地区：[1]浙江省测绘科学技术研究院,浙江杭州311100

出　　处：《测绘与空间地理信息》2023年第6期25-28,共4页Geomatics & Spatial Information Technology

基　　金：浙江省自然资源厅地理国情调查子项目(ZDCG2020158DZ)资助。

摘　　要：针对基于最小二乘法在GPS-InSAR联合拟合推估模型中,对小控制范围内地表三维形变联合解算中系数矩阵奇异且扰动大、结果精度低等问题,本文提出一种优化的拟合推估联合解算模型,使用逐次超松弛迭代法(SOR)控制解算模型系数矩阵的扰动,进而提高拟合推估模型联合解算的精度,且使用西宁市南山的GPS和InSAR数据进行直接法、最小二乘法和SOR优化的测试实验。实验结果表明,经SOR优化的拟合推估模型GPS-InSAR联合解算精度明显优于直接法、最小二乘法的解算精度,其中,SOR优化拟合推估模型解算平均误差和均方根误差优于最小二乘法拟合推估模型解算,精度约为64.35%、70.45%,因此更有利于后期地表三维形变的监测。Considering the problems of singular coefficient matrix,large disturbance and low result accuracy in the joint solution of 3D surface deformation within a small control range for the application of GPS-InSAR joint fitting estimation model based on least square method,an optimized fitting estimation joint solution model is proposed in this paper.The successive over relaxation iterative method(SOR)is used to control the disturbance of the coefficient matrix of the solution model,so as to improve the accuracy of the joint solution of the fitting estimation model,the GPS and InSAR data of Nanshan in Xining city are used for the test experiments of direct method,least square method and SOR optimization.The experimental results show that the GPS-InSAR joint solution accuracy of the SOR optimized fitting estimation model is significantly better than that of the direct method and the least square method.Among them,the average error and root mean square error of the SOR optimized fitting estimation model are better than that of the least square method,and the solution accuracy of the fitting estimation model is about 64.35%and 70.45%,so it is more conducive to the later 3D surface deformation monitoring.

关 键 词：GPS-InSAR联合解算 拟合推估模型 逐次超松弛迭代法(SOR) 

分 类 号：P209[天文地球—测绘科学与技术]