矿区地表形变时空演化分析方法研究  

Study on Spatio-Temporal Evolution Analysis Method of Surface Deformation in Mining Area

作　　者：陈月娟 许昕 黄平平[1,2] 孙文卿 乞耀龙 谭维贤 徐伟[1,2] CHEN Yuejuan;XU Xin;HUANG Pingping;SUN Wenqing;QI Yaolong;TAN Weixian;XU Wei(College of Information Engineering,Inner Mongolia University of Technology,Hohhot 010080,China;Inner Mongolia Key Laboratory of Radar Technology and Application,Hohhot 010051,China;China Coal Pingshuo Group Co.,Ltd.,Shuozhou 036006,China)

机构地区：[1]内蒙古工业大学信息工程学院,内蒙古呼和浩特010080 [2]内蒙古自治区雷达技术与应用重点实验室,内蒙古呼和浩特010051 [3]中煤平朔集团有限公司,山西朔州036006

出　　处：《测绘与空间地理信息》2024年第6期12-15,19,22,共6页Geomatics & Spatial Information Technology

基　　金：国家自然科学基金地区项目——基于星地多源监测数据的矿山地面沉降时空演变过程监测与分析研究(52064039);自治区直属高校基本科研业务费项目——面向矿山地面沉降的多源监测数据分析及其传感网服务研究(JY-20220134);内蒙古自治区自然科学基金项目——超声化学激励膏体充填材料水化特性及其力学强化机理研究(2020LH05006)资助。

摘　　要：用传统监测方法获取的离散点数据只能描述特定时间的空间形变状态,无法反映矿区地表形变整体时空演化。本文介绍了一种矿区地表形变时空模型的构建方法,通过对空间多项式引入时间项变为时空多项式,并基于移动最小二乘法顾及局部特征,提出时空多项式和移动最小二乘法结合完成模型拟合。实验分析表明,选取合适时空项阶次的模型具有良好的拟合精度,实现了对矿区地表形变的时空趋势拟合,能够直观地反映矿区地表形变的整体时空演化趋势和规律。Because the discrete point data obtained by traditional monitoring methods can only describe the spatial deformation state at a specific time,it can not reflect the overall spatio-temporal evolution of surface deformation in the mining area.This paper introduces a method for constructing a spatio-temporal model of surface deformation in mining areas.By introducing a temporal term into the spatial polynomial,the spatio-temporal polynomial is transformed into a spatio-temporal polynomial.Based on the moving least squares method,the local characteristics are taken into account,the spatio-temporal polynomial and the moving least squares method are combined to complete the model fitting.The experimental analysis shows that the model with appropriate orders of spatio-temporal term has good fitting accuracy,and realizes the fitting of the spatio-temporal trend of surface deformation in mining area,which can directly reflect the overall spatio-temporal evolution trend and law of surface deformation in mining area.

关 键 词：地表形变 时空模型 移动最小二乘法 多项式 时空演化 

分 类 号：P237[天文地球—摄影测量与遥感]