地铁荷载下隧道土体沉降的灰色预测与分析
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摘要
随着我国地铁建设的迅猛发展,地铁运营荷载造成软土地基的长期沉降问题引起了足够的重视。针对监测和观测时间的非等时性,文中采用牛顿二次插值多项式插值的方法建立了非等时距灰色理论模型GM(1,1)和GM(2,1),对上海地铁四号线一区段的沉降进行预测,并与实际监测沉降量进行了比较,结果表明,GM(2,1)较GM(1,1)有更高的精度。通过监测数据分析,发现其沉降速率上半年明显小于下半年,并给出了较为合理的解释。
With the rapid development of metro construction in China,long-term settlement of soft soil subgrade caused by metro operating load has attracted more and more attention.For unequal time interval of monitoring and observation,this paper establishes gray theory model GM(1,1) and GM(2,1) with unequal time interval using Newton quadratic interpolation polynomial to carry out prediction on settlement of the first section of No.4 Line of Shanghai Metro and compare it with practical monitoring settlement.It is shown that GM(2,1) has higher precision to GM(1,1).Through monitoring data analysis,it is found that settlement rate in the first half year is significantly less than that in the second half year.This paper gives reasonable explanation for this.
With the rapid development of metro construction in China,long-term settlement of soft soil subgrade caused by metro operating load has attracted more and more attention.For unequal time interval of monitoring and observation,this paper establishes gray theory model GM(1,1) and GM(2,1) with unequal time interval using Newton quadratic interpolation polynomial to carry out prediction on settlement of the first section of No.4 Line of Shanghai Metro and compare it with practical monitoring settlement.It is shown that GM(2,1) has higher precision to GM(1,1).Through monitoring data analysis,it is found that settlement rate in the first half year is significantly less than that in the second half year.This paper gives reasonable explanation for this.
引文
[1]刘明,黄茂松,李进军.地铁荷载作用下饱和软粘土的长期沉降分析[J].地下空间与工程学报,2006,2(5):813-817.
[2]张晓伦.灰色理论在软土路基沉降分析中的应用[J].路基工程,2008(1):40-41.
[3]王寒梅,唐益群,严学新,等.软土地区工程性地面沉降预测的非等时距GM(1,1)模型[J].工程地质学报,2006,14(3):398-400.
[4]周全能,王祥.灰色理论在沉降预测中的应用[J].土工基础,2002,16(4):31-33.
[5]邓聚龙.灰色系统基本方法[M].武汉:华中理工大学出版社,1986:44-46.
[6]秦亚琼,魏丽敏.不等时距GM(1,1)模型预测地基沉降研究[J].武汉理工大学学报,2008,32(1):124-137.
[7]雷学文,白世伟,孟庆山.灰色预测在软土地基沉降分析中的应用[J].岩土力学,2000,21(2):145-147.
[8]陈晓斌,张家生,安关峰.GM(1,1)与GM(2,1)模型在基坑工程预测中的应用[J].岩土工程学报,2006(11):1401-1405.
[9]俞寿松,石兆吉,谢君斐,等.上海地铁隧道振陷的计算分析[J].地震工程与工程振动,1986,6(3):51-59.
[10]戴博红.深基坑施工对邻近地铁隧道的影响预测[J].城市轨道交通研究,2008,8(1):62-65.
[11]郑永来,潘杰,韩文星.软土地铁隧道沉降分析[J].地下空间与工程学报,2005,1(1):16-19.
[2]张晓伦.灰色理论在软土路基沉降分析中的应用[J].路基工程,2008(1):40-41.
[3]王寒梅,唐益群,严学新,等.软土地区工程性地面沉降预测的非等时距GM(1,1)模型[J].工程地质学报,2006,14(3):398-400.
[4]周全能,王祥.灰色理论在沉降预测中的应用[J].土工基础,2002,16(4):31-33.
[5]邓聚龙.灰色系统基本方法[M].武汉:华中理工大学出版社,1986:44-46.
[6]秦亚琼,魏丽敏.不等时距GM(1,1)模型预测地基沉降研究[J].武汉理工大学学报,2008,32(1):124-137.
[7]雷学文,白世伟,孟庆山.灰色预测在软土地基沉降分析中的应用[J].岩土力学,2000,21(2):145-147.
[8]陈晓斌,张家生,安关峰.GM(1,1)与GM(2,1)模型在基坑工程预测中的应用[J].岩土工程学报,2006(11):1401-1405.
[9]俞寿松,石兆吉,谢君斐,等.上海地铁隧道振陷的计算分析[J].地震工程与工程振动,1986,6(3):51-59.
[10]戴博红.深基坑施工对邻近地铁隧道的影响预测[J].城市轨道交通研究,2008,8(1):62-65.
[11]郑永来,潘杰,韩文星.软土地铁隧道沉降分析[J].地下空间与工程学报,2005,1(1):16-19.
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