对欧拉矢量附加不等式约束的RELSM模型及其应用  

RELSM Model with Additional Inequality Constraints on Euler Vectors and Its Application

作　　者：范成成 张俊[1] 雷前坤[1] 武宇 黄康钰 FAN Chengcheng;ZHANG Jun;LEI Qiankun;WU Yu;HUANG Kangyu(College of Mining,Guizhou University,Huaxi District,Guiyang 550025,China)

机构地区：[1]贵州大学矿业学院,贵阳市花溪区550025

出　　处：《大地测量与地球动力学》2020年第7期667-670,681,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41701464);贵州省科学技术基础研究计划(黔科[2017]1054);贵州大学引进人才科研项目(贵大人基合字(2016)51号);贵州大学测绘科学与技术研究生创新实践基地建设项目(贵大研CXJD[2014]002)。

摘　　要：借鉴选权拟合思想,对区域地壳运动的整体旋转和线性应变模型中欧拉矢量部分附加不等式约束,将区域地壳运动的欧拉参数约束到由多年观测资料确定的平均欧拉参数值附近,建立附有不等式约束的整体旋转和线性应变模型。对中国大陆构造环境监测网络在环渤海区域的近几期GPS观测速度场数据进行拟合分析,结果表明,本文方法通过不等式约束可适当增强块体整体运动趋势的平滑性,获得对速度场更高的拟合精度,可进一步增强模型的物理解释能力。By referring to the idea of weight fitting,inequality constraints are added to the integral rotation of regional crustal movement and the Euler vector part of the linear strain model.The Euler parameters of the regional crustal movement are constrained to the vicinity of the average Euler parameter value determined by the multi-year observation data.An overall rotation and linear strain model with inequality constraints is established.The fitting analysis of the velocity field data of recent GPS observations from crustal movement observation network of China in Bohai rim region shows that the proposed method enhances the smoothness of the overall motion trend of the block,with higher fitting accuracy to the velocity field as well as further enhanced physical interpretation ability of the model.

关 键 词：地壳运动 欧拉参数 不等式约束 RELSM 应变参数 

分 类 号：P315[天文地球—地震学] P227[天文地球—固体地球物理学]