基于多面函数拟合/欧拉矢量法建立广东区域速度场模型及其精度分析  

Establishment of Guangdong regional velocity field model based on polyhedral function/Euler vector method and its accuracy analysis

作　　者：邵彩霞 Shao Caixia(Guangzhou Urban Planning Survey and Design Research Institute,Guangzhou 510060,China;Key Laboratory of Urban Perception,Monitoring and Early Warning Enterprises in Guangdong Province,Guangzhou 510060,China)

机构地区：[1]广州市城市规划勘测设计研究院,广州510060 [2]广东省城市感知与监测预警企业重点实验室,广州510060

出　　处：《工程勘察》2025年第3期52-57,共6页Geotechnical Investigation & Surveying

基　　金：广东省城市感知与监测预警企业重点实验室基金(2020B121202019);广州市城市规划勘测设计研究院科技基金(RDI2210201040).

摘　　要：广东区域处于亚欧板块和太平洋板块交界处,板块间相互挤压,地壳运动活跃。本文首先推导多面函数拟合法和欧拉矢量法建立区域速度场的数学方法,使用多面函数拟合法和欧拉矢量法分别建立广东区域速度场模型,同时对模型精度进行评估。实验结果表明,使用多面函数拟合法和欧拉矢量法均可以得到广东区域高精度水平速度场模型,两种方法建立的模型结果存在高度的一致性,且运动方向均表现为SE-E方向,各水平方向分量精度均优于3mm/a;多面函数拟合法建立的模型显示,广东区域在N、E方向上平均速度分别为-30.64mm/a、5.67mm/a,且在水平方向上整体内外符合精度分别为1.93mm/a、2.52mm/a;欧拉矢量法建立的模型显示,广东区域在N、E方向上平均速度分别为-31.35mm/a、5.74mm/a,且在水平方向上整体内外符合精度分别为1.91mm/a、2.61mm/a。Guangdong is located at the junction of the Eurasian Plate and the Pacific Plate,where plates are compressed and crustal movement is active.This article first derives the mathematical methods for establishing the regional velocity field using the polyhedral function fitting method and the Euler vector method,and establishes the regional velocity field model in Guangdong using the polyhedral function fitting method and the Euler vector method,respectively.At the same time,the accuracy of the model is evaluated.The experimental results show that both the polyhedral function fitting method and the Euler vector method can obtain high-precision horizontal velocity field models.The results of the models established by the two methods are highly consistent,and the motion directions are all in the SE-E direction,with the accuracy of better than 3mm/a in each horizontal component.The polyhedral function fitting method is used to establish the model,which shows that the average velocities in the N and E directions of Guangdong region are-30.64mm/a and 5.67mm/a,respectively,and the overall accuracy of both internal and external coincidences in the horizontal direction is 1.93mm/a and 2.52mm/a,respectively.The Euler vector method is used to establish a model,which shows that the average velocities in the N and E directions of Guangdong region are-31.35mm/a and 5.74mm/a,respectively.The overall internal and external coincidence accuracy in the horizontal direction is 1.91mm/a and 2.61mm/a,respectively.

关 键 词：多面函数拟合 欧拉矢量 基线解算 网平差 速度场 

分 类 号：P227[天文地球—大地测量学与测量工程]