非等间距多点变形预测模型及其应用

尹晖; 周晓庆; 张晓鸣

doi:10.11947/j.AGCS.2016.20160005

测绘学报 >

2016 , Vol. 45 >Issue 10: 1140 - 1147

DOI: https://doi.org/10.11947/j.AGCS.2016.20160005

大地测量学与导航

非等间距多点变形预测模型及其应用

尹晖 ,
周晓庆 ,
张晓鸣

展开

1. 武汉大学测绘学院, 湖北武汉 430079;
2. 地球空间信息技术协同创新中心, 湖北武汉 430079

尹晖(1962-),女,博士,教授,研究方向为变形分析与预测、空间信息处理理论和方法研究。E-mail:hyin@sgg.whu.edu.cn

收稿日期: 2016-01-04

修回日期: 2016-09-22

网络出版日期: 2016-11-08

基金资助

国家自然科学基金（51077105）；大地测量与地球动力学国家重点实验室开放基金（SKLGED2013-3-6-E）；国家电网公司总部科技项目（SGSX0000YJJS（2014）457）

收起

Non-equidistant Multi-point Deformation Prediction Model and Its Application

YIN Hui ,
ZHOU Xiaoqing ,
ZHANG Xiaoming

Expand

1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
2. Collaborative Innovation Center for Geospatial Technology, Wuhan 430079, China

Received date: 2016-01-04

Revised date: 2016-09-22

Online published: 2016-11-08

Supported by

The National Natural Science Foundation of China (No.51077105);The Open Research Fund Program of the State Key Laboratory of Geodesy and Earth's Dynamics (No.SKLGED2013-3-6-E);The Research Project of State Grid Corporation of China (No.SGSX0000YJJS(2014)457)

Fold

摘要

将彼此关联的多个变形监测点纳入整体建模，将单点的变形分析扩展到空间多点的整体变形分析，采用非等间距等距化处理的改进方法，建立了基于非等间距的多点变形预测模型。本文通过实例分析与对比，验证了非等间距多点变形预测模型的可行性和有效性，是一种非线性时空整体变形分析与预测的新方法。

关键词： 非等间距序列; 多点; 整体变形分析; 预测模型

本文引用格式

尹晖 , 周晓庆 , 张晓鸣 . 非等间距多点变形预测模型及其应用[J]. 测绘学报, 2016 , 45(10) : 1140 -1147 . DOI: 10.11947/j.AGCS.2016.20160005

Abstract

Taking consideration of the integrity modeling with correlative multiple deformation points, this paper extends the single point deformation analysis into spatial multi-point integrity analysis and presents a non-equidistant multi-point modeling by improving equispacing processing for the non-equidistant series. The real practical analysis and comparative results indicate that the non-equidistant multi-point prediction model is feasible and effective, which is a new nonlinear approach to the integrated deformation analysis and prediction in time and space domain.

Key words： non-equidistant series; multi-point; integrated deformation analysis; prediction model

参考文献

[1] DENG Julong. Control Problems of Grey Systems[J]. Systems & Control Letters, 1982, 1(5):288-294.
[2] 尹晖. 时空变形分析与预报的理论和方法[M]. 北京:测绘出版社, 2002. YIN Hui. Theory and Methodology for Temporal-spatial Deformation Analysis and Forecasting[M]. Beijing:Surveying and Mapping Press, 2002.
[3] SHEN Chunguang. Grey Models for Non-equidistant Sequence Based on Trapezoid Formula and Central Difference Quotient[J]. Journal of Grey System, 2010, 22(1):17-24.
[4] WANG Qin, WEI Yong. A Kind of New Strengthening Buffer Operator Suitable for Non-equigap GM(1, 1) Model[J]. Journal of Grey System, 2009, 21(1):105-112.
[5] LI Qiufeng, DANG Yaoguo, WANG Zhengxin, et al. An Extended GM(1, 1) Power Model for Non-equidistant Series[J]. Journal of Grey System, 2012, 24(3):269-274.
[6] 孙虎元, 魏绪钧. 非等间隔灰色模型及应用[J]. 应用基础与工程科学学报, 1996, 4(4):407-411. SUN Huyuan, WEI Xujun. Non-equal Time-interval Grey Model and Its Application[J]. Journal of Basic Science and Engineering, 1996, 4(4):407-411.
[7] 黄声享, 李志成. 工程建筑沉降预测的非等间距灰色建模[J]. 地理空间信息, 2004, 2(1):41-43. HUANG Shengxiang, LI Zhicheng. Grey Modeling of Non-equidistant Data Sepuent for Forecasting Subsidence of the Engineering Buildings[J]. Geospatial Information, 2004, 2(1):41-43.
[8] 李斌, 朱健. 非等间隔灰色GM(1, 1)模型在沉降数据分析中的应用[J]. 测绘科学, 2007, 32(4):52-55. LI Bin, ZHU Jian. Application of Unequal Interval Grey Model in Analysis of Settlement Data[J]. Science of Surveying and Mapping, 2007, 32(4):52-55.
[9] 戴文战, 李俊峰. 非等间距GM(1, 1)模型建模研究[J]. 系统工程理论与实践, 2005, 26(9):89-93. DAI Wenzhan, LI Junfeng. Modeling Research on Non-equidistance GM(1, 1) Model[J]. Systems Engineering-Theory & Practice, 2005, 26(9):89-93.
[10] 史雪荣, 王作雷, 张正娣. 变参数非等间距GM(1, 1)模型及应用[J]. 数学的实践与认识, 2006, 36(6):216-220. SHI Xuerong, WANG Zuolei, ZHANG Zhengdi. GM(1, 1) Model with Variational Parameter for Non-equidistant Sequence and Its Application[J]. Mathematics in Practice and Theory, 2006, 36(6):216-220.
[11] 姜爱平, 张启敏. 非等间距近似非齐次指数序列的灰色建模方法及其优化[J]. 系统工程理论与实践, 2014, 34(12):3199-3203. JIANG Aiping, ZHANG Qimin. Methods and Optimum of Grey Modeling for Approximation Non-homogenous and Non-equidistant Series[J]. Systems Engineering-Theory & Practice, 2014, 34(12):3199-3203.
[12] 尹晖, 陈永奇, 张琰. 贫信息条件下的多点变形预测模型及其应用[J]. 测绘学报, 1997, 26(4):365-372. YIN Hui, CHEN Yongqi, ZHANG Yan. Multi-point Deformation Prediction Model with Poor Data Information and Its Application[J]. Acta Geodaetica et Cartographica Sinica, 1997, 26(4):365-372.
[13] 潘国荣, 王穂辉. 多点变形动态灰色模型辨识及预测[J]. 测绘学报, 2002, 31(S1):66-69. DOI:10.3321/j.issn:1001-1595.2002.z1.014. PAN Guorong, WANG Suihui. Dynamic Grey Modelling Identification and Predication of Multi-point Deformation[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(S1):66-69. DOI:10.3321/j.issn:1001-1595.2002.z1.014.
[14] 尹晖, 王尚庆. 基于灰关联聚类分析的多点时空非线性模型及其应用[J]. 武汉测绘科技大学学报, 1998, 23(2):100-104. YIN Hui, WANG Shangqing. Multi-point Spatial Nonlinear Model Based on Grey Correlation Clustering and Its Application[J]. Journal of Wuhan Technical University of Surveying and Mapping, 1998, 23(2):100-104.
[15] 崔立志, 刘思峰, 吴正朋. 基于向量连分式理论的MGM(1, n)模型[J]. 系统工程, 2008, 26(10):47-51. CUI Lizhi, LIU Sifeng, WU Zhengpeng. MGM(1, n) Based on Vector Continued Fractions Theory[J]. Systems Engineering, 2008, 26(10):47-51.
[16] 熊萍萍, 党耀国, 王正新. MGM(1, m)模型背景值的优化[J]. 控制与决策, 2011, 26(6):806-810, 815. XIONG Pingping, DANG Yaoguo, WANG Zhengxin. Optimization of Background Value in MGM(1, m) Model[J]. Control and Decision, 2011, 26(6):806-810, 815.
[17] 刘寒冰, 向一鸣, 阮有兴. 背景值优化的多变量灰色模型在路基沉降预测中的应用[J]. 岩土力学, 2013, 34(1):173-181. LIU Hanbing, XIANG Yiming, RUAN Youxing. A Multivariable Grey Model Based on Background Value Optimization and Its Application to Subgrade Settlement Prediction[J]. Rock and Soil Mechanics, 2013, 34(1):173-181.
[18] 夏卫国, 米传民, 刘思峰, 等. 基于初值改进的多变量MGM(1, m)模型研究[J]. 中国管理科学, 2013, 21(S1):81-85. XIA Weiguo, MI Chuanmin, LIU Sifeng, et al. The Study on the Improved Multiple Variable MGM(1, m) Model Based on Improving the Initial Value[J]. Chinese Journal of Management Science, 2013, 21(S1):81-85.
[19] WANG Qijie, WANG Changcheng, XIE Rong'an, et al. An Improved SCGM(1,m) Model for Multi-point Deformation Analysis[J]. Geosciences Journal, 2014, 18(4):477-484.
[20] GUO Xiaojun, LIU Sifeng, WU Lifeng, et al. A Multi-variable Grey Model with A Self-memory Component and Its Application on Engineering Prediction[J]. Engineering Applications of Artificial Intelligence, 2015, 42:82-93.
[21] 李晓蕾, 刘睿, 田永瑞, 等. 基于灰色预测的空间多点残差修正模型研究[J]. 大地测量与地球动力学, 2010, 30(5):125-128. LI Xiaolei, LIU Rui, TIAN Yongrui, et al. Study on Spatial Multi-point Residual Model Based on Grey Prediction[J]. Journal of Geodesy and Geodynamics, 2010, 30(5):125-128.

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract

参考文献