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多监测点滑坡变形预测的似乎不相关模型研究
  • ISSN号:1000-6915
  • 期刊名称:《岩石力学与工程学报》
  • 时间:0
  • 分类:P642[天文地球—工程地质学;天文地球—地质矿产勘探;天文地球—地质学]
  • 作者机构:中国地质大学数学与物理学院,湖北武汉430074
  • 相关基金:国家重点基础研究发展计划(973)项目(2011CB710605);国家自然科学基金重点项目(41230637)
中文摘要:

采用似乎不相关模型(SUR),可有效地考虑滑坡多个监测点的之间的关联性,对多个监测点的累计位移数据同步处理,更精确地实现滑坡的变形预测。以白水河滑坡为例,取ZG93和ZG118两个监测点,建立2个监测点的累计位移回归方程,根据两步回归法计算得到2个方程的误差协方差矩阵。由于误差协方差矩阵为非对角矩阵,所以2个监测点的回归方程实际上是相互联系的,满足似乎不相关模型的条件,可以建立2个监测点联立的似乎不相关模型,实现对ZG93和ZG118两个监测点的同步变形预测。与传统的普通最小二乘法(OLS)比较,似乎不相关的估计参数比普通最小二乘估计更接近真实值,SUR模型平均相对误差均小于OLS模型平均相对误差,显示SUR模型的预测精度要高于OLS模型。

英文摘要:

In the process of landslide deformation monitoring, multiple monitoring points were arranged on the same landslide usually. These data of monitoring points reflected the trend of the landslide deformation and destruction from different sides, so there was a certain correlation among data of monitoring points. However, this correlation has not been considered into research on the same landslide deformation prediction of multiple monitoring points. Seemingly unrelated regressions(SUR) model established in this paper could effectively deal with the correlation among data of multiple monitoring points, and could process the cumulative displacement data of multiple monitoring points in one model, and then more accurate results of deformation prediction of landslide were obtained. As an example, two regression equations were established based on the cumulative displacement data of monitoring points ZG93 and ZG 118 of Baishuihe landslide, then according to two-step feasible generalized least squares(FGLS), covariance matrix of error of two regression equations was obtained. The regression equations were actually related due to the covariance matrix of error was non-diagonal, which met the conditions of SUR model, so SUR model of the two monitoring points could be created to complete the deformation prediction of two monitoring points ZG93 and ZGll8 synchronously. Finally compared with the results ofordinary least squares(OLS), parameter estimation of SUR model was closer to the true value and the average relative error of SUR model was less than OLS model, so the prediction accuracy of SUR model is higher than OLS model.

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期刊信息
  • 《岩石力学与工程学报》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国岩石力学与工程学会
  • 主编:冯夏庭
  • 地址:武汉市武昌小洪山中国科学院武汉岩土力学研究所
  • 邮编:430071
  • 邮箱:rock@whrsm.ac.cn
  • 电话:027-87199250
  • 国际标准刊号:ISSN:1000-6915
  • 国内统一刊号:ISSN:42-1397/O3
  • 邮发代号:38-315
  • 获奖情况:
  • 全国中文核心期刊,中国科协优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘(网络版),荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版),中国北大核心期刊(2000版)
  • 被引量:75823