J4 ›› 2011, Vol. 41 ›› Issue (4): 1098-1103.

• 地质工程与环境工程 • 上一篇    下一篇

准等时距QGM(1|1)模型分段预测法及其在草炭土路基沉降预测中的应用

沈世伟|佴磊|徐燕   

  1. 吉林大学建设工程学院|长春130026
  • 收稿日期:2010-10-10 出版日期:2011-07-26 发布日期:2011-07-26
  • 作者简介:沈世伟(1982-)|男|吉林长春人|讲师|博士|主要从事岩体工程及工程地质方面的教学与研究|E-mail:ssw2580@163.com
  • 基金资助:

    国家自然科学基金项目(40772169)

Quasi-Equal Interval QGM (1,1) Model Forecasting Method and Its Application in Settlement Prediction of Turfy Soil Subgrade

SHEN Shi-wei, NAI Lei, XU Yan   

  1. College of Construction Engineering, Jilin University, Changchun130026, China
  • Received:2010-10-10 Online:2011-07-26 Published:2011-07-26

摘要:

利用传统非等时距模型预测草炭土路基沉降时,存在计算繁琐、中短期预报精度低等缺点,尤其是当沉降曲线存在斜率突变点时,采用该模型很难达到预测精度的要求。针对以上不足,对非等时距时间序列进行平均步长换算,得到准等时距序列,利用线性插值法对原始沉降数据进行修正,得到改进后的准等时距QGM(1,1)预测模型,并将沉降曲线在斜率突变点处分成两部分进行分段预测。实例计算表明:采用改进后的准等时距QGM(1,1)模型预测草炭土路基沉降,两段的预测值平均误差分别为2.99%和0.25%,均远远小于传统非等时距模型,且具有很高的中短期预测精度,可以为工程沉降控制提供可靠参考。

关键词: 准等时距QGM(1, 1)模型, 平均步长换算, 分段预测, 草炭土, 沉降预测

Abstract:

To predict the settlement of turfy soil subgrade with the method of traditional non-equal interval models, there are a few shortages such as cumbersome calculation and low accuracy for short-term forecast Especially when there is a slope mutation point in the subsidence curve, it is difficult to meet the prediction accuracy requirements. For the above shortcomings, average step length conversion is used for non-equal interval sequence to obtain quasi-equal interval sequence; the improved quasi-equal interval QGM(1,1) forecasting models are obtained by amending the original settlement data with the method of linear interpolation; and the subsidence curve is divided into two parts to carry out the prediction at the slope mutation point. As is illustrated in the examples, when the improved quasi-equal interval QGM(1,1) models are used to predict turfy soil subgrade settlement, the average errors between predicted and measured values are 2.99% and 0.25% respectively, far less than the results obtained by means of traditional non-equal interval models. The quasi-equal interval QGM(1,1) model with pretty high accuracy for short-term prediction can serve as a reliable reference to settlement control in project.

Key words: quasi-equal interval QGM(1,1) model, average step length conversion, time segment forecasting, turfy soil, settlement prediction

中图分类号: 

  • TU433
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