基于熵和转移矩阵分析北京地铁15号线地面沉降时空特征  

Analysis of spatio-temporal characteristics of land subsidence on Beijing Metro Line 15 based on entropy and transition matrix

作　　者：田秀秀 王彦兵[1,2,3] 李晨霞 李小娟[1,2,3] 朱琳[1,2,3] TIAN Xiuxiu;WANG Yanbing;LI Chenxia;LI Xiaojuan;ZHU Lin(College of Resource Environment and Tourism,Capital Normal University,Beijing 100048,China;Key Lab of Resource Environment and GIS,Capital Normal University,Beijing 100048,China;Beijing Laboratory of Water Resources Security,Capital Normal University,Beijing 100048,China;Beijing No.24 High School,Beijing 100005,China)

机构地区：[1]首都师范大学资源环境与旅游学院,北京100048 [2]首都师范大学三维信息获取与应用教育部重点实验室,北京100048 [3]首都师范大学水资源安全北京实验室,北京100048 [4]北京市第二十四中学,北京100005

出　　处：《测绘通报》2022年第11期67-73,共7页Bulletin of Surveying and Mapping

基　　金：北京市自然科学基金(8202009);国家自然科学基金(42071376)。

摘　　要：首先基于PS-InSAR技术获取地铁15号线地面沉降信息,采用信息论方法计算研究区2003—2019年的熵值,然后通过转移矩阵分析地面沉降的转化规律及其与熵值变化的关系。发现2003—2020年,研究区受地质构造影响差异沉降明显,年均地面沉降速率区间为[-100.17,1.19]mm/a;2016年前信息熵不断增加,地面沉降差异性较大,之后信息熵逐渐降低,沉降一致性较好;熵值大小与地面沉降的发育程度有关,沉降严重区熵值较高,沉降稳定区熵值较低;熵值增大时各沉降类型的转出率高,此时地面沉降系统不稳定,熵值减小时各沉降类型的转出率低,沉降系统较稳定。The land subsidence information of Metro Line 15 is obtained based on PS-InSAR.The entropy value of the study area from 2003 to 2019 is calculated by information theory.The transformation law of land subsidence and its relationship with the change of entropy value are analyzed through the transition matrix.It is found that from 2003 to 2020,the differential subsidence of the study area is obviously affected by the geological structure,the average annual land subsidence rate is between[-100.17,1.19]mm/a.Before 2016,the information entropy continued to increase,and the differences in land subsidence are large.After that,the information entropy gradually decreased,and the subsidence consistency is good.The value of entropy is related to the development of land subsidence,it is higher in the serious subsidence area and lower in the stable subsidence area.Entropy value increases,the subsidence type has a high transfer out rate,and the land subsidence system is unstable.Otherwise,entropy value decreases,the transfer out rate of each subsidence type is low and the subsidence system is relatively stable.

关 键 词：地铁15号线 PS-INSAR 地面沉降 信息熵 演化 

分 类 号：P258[天文地球—测绘科学与技术]