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非等步长GM(1,1)模型及其在大堤沉降监测的应用
引用本文:刘明波,田林亚,孙和平. 非等步长GM(1,1)模型及其在大堤沉降监测的应用[J]. 测绘工程, 2006, 15(3): 58-60
作者姓名:刘明波  田林亚  孙和平
作者单位:中国科学院,测量与地球物理研究所,湖北,武汉,430077;中国科学院,研究生院,北京,100049;河海大学,土木工程学院,江苏,南京,210098;中国科学院,测量与地球物理研究所,湖北,武汉,430077
摘    要:
针对非等步长数据,传统GM方法是构造等步长序列,生成1-AGO序列,再建立等步长GM(1,1)模型。考虑到变形观测序列非等步长特性,以相邻观测时间间隔为权,直接生成1-WAGO序列,建立非等步长GM(1,1)模型。将GM(1,1)模型应用于堤防工程沉降观测分析与预报,得到了有益的结论。

关 键 词:非等步长  GM(1,1)模型  1-WAGO  沉降监测
文章编号:1006-7949(2006)03-0058-03
收稿时间:2005-09-24
修稿时间:2005-09-24

Study of unequal-step GM(1,1) model and its application
LIU Ming-bo,TIAN Lin-ya,SUN He-ping. Study of unequal-step GM(1,1) model and its application[J]. Engineering of Surveying and Mapping, 2006, 15(3): 58-60
Authors:LIU Ming-bo  TIAN Lin-ya  SUN He-ping
Abstract:
For the unequal-step data,the traditional GM method is to establish the equal-step GM(1,1)model by constructing equal-step sequence and making 1-AGO sequence.Considering the unequal-step characteristic of de- formation monitoring sequence,the time interval is taken as weight and the 1-WAGO sequence directly made and the unequal-step GM(1,1)model established.The models is used to analyze and forecast the settlement ob- servation of embankment project,some useful conclusion is obtained.
Keywords:unequal-step  grey model(1  1)  weight accumulating generation operator  settlement observation
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