在计算盾构隧道开挖引起的土体变形中,地层损失是十分重要的因素,而经典Loganathan公式中关于地层损失分布函数的计算仍然存在一定缺陷。根据极限平衡原理和隧道周围统一土体移动模型对Loganathan公式中的地层损失分布进行修正,而后将解析计算公式向三维空间予以拓展。通过对工程实例计算分析发现,与Loganathan公式得到的结果相比,修正公式算得的地表沉降槽宽度较小、土体水平位移也较小,计算结果更为准确,与工程实测数据更加吻合。
Abstract
Ground loss is an important factor in the calculation of soil deformation caused by shield tunnel excavation. In line with the limit equilibrium principle, the distribution of ground loss in Loganathan’s formula was revised using a uniform ground movement model. A refined analytic solution was derived and expanded to three-dimensional space. As shown by case analysis, the present solution obtains smaller width of surface settlement troughs and horizontal displacements of soil compared with Loganathan’s formula. The results of the refined solution are more consistent with field observations.
关键词
盾构隧道 /
土体变形 /
地层损失 /
修正解析解 /
Loganathan公式
Key words
shield tunnel /
soil deformation /
ground loss /
refined analytic solution /
Loganathan’s formula
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1]PECK R B.Deep Excavations and Tunneling in Soft Ground[C]//Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering.Mexico City: Publisher Sociedad Mexicana de Mecanica,1969:225-290.
[2] O’REILLY M P, NEW B M. Settlements above Tunnels in the United Kingdom:Their Magnitude and Prediction[C]//Proceedings of Tunneling 82 Symposium. London: Institution of Mining and Metallurgy. June 7-11, 1982: 173-181.
[3] MAIR R J, TAYLOR R N, BRACEGIRDLE A. Subsurface Settlement Profiles above Tunnels in Clays[J]. Geotechnique, 1993, 43(2): 315-320.
[4] CELESTINO T B, GOMES R, BORTOLUCCI A A. Errors in Ground Distortions Due to Settlement Trough Adjustment[J]. Tunneling and Underground Space Technology, 2000, 15(1): 97-100.
[5] VERRUIJT A. Complex Variable Solution for a Deforming Circular Tunnel in an Elastic Half Plane[J]. Geotechnique, 1997, 21(4): 77-89.
[6] VERRUIJT A. Deformations of an Elastic Half Plane with a Circular Cavity[J]. International Journal of Solids and Structures, 1998, 35(21): 2795-2804.
[7] 魏 纲, 张世民, 齐静静, 等. 盾构隧道施工引起的地面变形计算方法研究[J]. 岩石力学与工程学报, 2006, 25(增刊1): 3317-3323.
[8] SAGASETA C. Analysis of Undrained Soil Deformation Due to Ground Loss[J]. Geotechnique, 1987, 37(3): 301-320.
[9] VERRUIJT A, BOOKER J R. Surface Settlements Due to Deformation of a Tunnel in an Elastic Half Plane[J]. Geotechnique, 1996, 46(4): 753-756.
[10]LOGANATHAN N, POULOS H G. Analytical Prediction for Tunneling-induced Ground Movement in Clays[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(9): 846-856.
[11]魏 纲, 魏新江, 龚 慈, 等. 软土中盾构法隧道引起的土体移动计算研究[J]. 岩土力学, 2006, 27(6): 995-999.
[12]YANG X L, WANG J M. Ground Movement Prediction for Tunnels Using Simplified Procedure[J]. Tunneling and Underground Space Technology, 2011, 26(3): 462-471.
[13]LEE K M, ROWE R K, LO K Y. Subsidence Owing to Tunneling. I. Estimating the Gap Parameter[J]. Canadian Geotechnical Journal, 1992, 29(6): 929-940.
[14]YI X, ROWE R K, LEE K M. Observed and Calculated Pore Pressure and Deformations Induced by an Earth Balance Shield[J]. Canadian Geotechnical Journal, 1993, 30(3): 476-490.
[15]魏 纲. 盾构法隧道统一土体移动模型的建立[J]. 岩土工程学报, 2007, 29(4): 554-559.
[16]魏 纲, 刘加湾. 盾构法隧道统一土体移动模型参数取值研究[J]. 铁道建筑, 2009(2): 48-51.
[17]魏 纲,庞思远.双线平行盾构隧道施工引起的三维土体变形研究[J].岩土力学,2014,35(9):2562-2568.
[18]LEE K M, JI H W, SHEN C K, et al. Ground Response to the Construction of Shanghai Metro Tunnel-line 2[J]. Soils and Foundations, 1999, 39(3): 113-134.
[19]孙玉永, 周顺华, 宫全美. 软土地区盾构掘进引起的深层位移场分布规律[J]. 岩石力学与工程学报, 2009, 28(3): 500-506.
PDF(1281 KB)
