基于颗粒流椭球体理论的隧道极限松动区与松动土压力

大坝与安全 ›› 0, Vol. ›› Issue (): 714-721.

基于颗粒流椭球体理论的隧道极限松动区与松动土压力

武军¹, 廖少明^{1, 2}, 张迪³

1. 同济大学地下建筑与工程系，上海 200092; 2. 同济大学岩土及地下工程教育部重点实验室，上海 200092; 3. 中铁第四勘察设计院集团有限公司，湖北武汉 430063

收稿日期:2012-05-29
作者简介:作者简介：武军(1984- )，男，山西长治人，博士研究生，主要从事盾构隧道施工环境影响及隧道长期稳定性、耐久性研究。E-mail: wwwx207@yeah.net。
基金资助:
基金项目：国家自然科学基金项目（51078292）；上海市科委2010科技攻关计划项目（10231200202）；交通部科技项目（2009-353-333-340）

Loosening zone and earth pressure around tunnels in sandy soils based on ellipsoid theory of particle flows

WU Jun¹, LIAO Shao-ming^{1, 2}, ZHANG Di³

1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 3. China Railway No.4 Survey and Design Group Co., Ltd., Wuhan 430063, China

Received:2012-05-29

摘要/Abstract

摘要： 砂土地层中隧道所受土压力与土拱效应及松动区的发展密切相关，而砂土地层拱效应大小又与砂土颗粒流动规律相关。基于颗粒流椭球体理论，提出了砂土中隧道松动区的计算方法，并对Terzaghi松动土压力计算公式进行了改进。研究表明：与Terzaghi土柱理论假定的直立滑动面不同，基于颗粒流的砂土隧道松动区为细长的椭圆或该椭圆的一部分，且其形状及大小随偏心率、松动系数而变化，即随砂土颗粒形状、级配、密实度等地层特性而变化；松动区竖直滑移面上的侧压系数是小于Terzaghi的建议值。最后，通过与相关文献的离心模型试验结果进行了对比分析，验证了该方法的合理性，该成果可用于砂性地层中深埋地下管道和隧道的垂直土压力的计算。

关键词: 隧道工程, 松动区, 松动土压力, 砂土, 颗粒流, 土拱效应

Abstract: The vertical loosening earth pressure on a tunnel in sandy soils is affected by the development of loosening zone and arching effect that is influenced by the sand particle flows. Based on the ellipsoid theory of particle flows, the method to determine the loosening zone of tunnels in sandy soils is presented, and the traditional Terzaghi loosening theory is improved. The research results show that, unlike the vertical sliding surface assumed by Terzaghi, the loosening zone of tunnels in sandy soils is an ellipse or part of it, which is related to the eccentricity and loosening factor associated with the shape of sand particles, granular composition, relative density and other characters of stratum. The lateral earth pressure coefficient of sliding surface in sandy soils is less than the value suggested by Terzaghi. Finally, the results of proposed method agree quite well with those reported in other literatures based on the Terzaghi theory. It can be used to analyze the vertical earth pressure in underground tunnel and pipe engineering.

Key words: tunnel engineering, loosening zone, loosening earth pressure, sandy soil, particle flow, arching effect

中图分类号:

TU45

武军, 廖少明, 张迪. 基于颗粒流椭球体理论的隧道极限松动区与松动土压力[J]. 大坝与安全, 0, (): 714-721.

WU Jun, LIAO Shao-ming, ZHANG Di. Loosening zone and earth pressure around tunnels in sandy soils based on ellipsoid theory of particle flows[J]. Dam & Safety, 0, (): 714-721.

参考文献

[1] TERZAGHI K. Theoretical soil mechanics[M]. NewYork: John Wiley & Sons, 1943:66-76.
[2] MARSTON A. The theory of external loads on closed conduits in the light of the latest experiments[R]// Iowa: Iowa State College, Ames, Iowa Engineering Experiment Station, 1930.The theory of external loads on closed conduits in the light of the latest experiments[R]// Iowa: Iowa State College, Ames, Iowa Engineering Experiment Station, 1930.
[3] BALLA A. Rock pressure determined from shearing resistance[M]. Budapest: Proc Int Conf Soil Mechanics, 1963:461.
[4] Tien Heisen-Jen. A literature study of the arching effect[D]. Taipei: Taiwan University, 1990:123-125.
[5] Finn. Boundary value problems of mechanics[J]. Journal of the Soil Mechanics and Foundation Division, ASCE,1963, 89SM5:39-72.
[6] . EVANS C H. An examination of arching in granular soils[D]. Cambridge: Massachusetts Institute of Technology, 1983.
[7] 周小文,濮家骝,包承钢. 砂土中隧道开挖稳定机理及松动土压力研究[J]. 长江科学院院报, 1999,164:9-13. ZHOU Xiao-wen, PU Jia-liu, BAO Cheng-gang.
Study on stability mechanism and relaxed soil pressure in sandy soil during excavation[J]. Journal of Yangtze River Scientific Research Institute, 1999, 164: 9-13. (in Chinese)
[8] LEE Chung-jung, CHIANG Kuo-Hui, KUO Chia-Ming. Ground movement and tunnel stability when tunneling in sand ground[J]. Journal of the Chinese Institute of Engineers, 2004,277:1021-1032.
[9] 李世平,吴振业. 岩石力学简明教程[M]. 北京: 煤炭工业出版社, 1996:105-108. LI Shi-ping, WU Zhen-ye.
Introduction to rock mechanics[M]. Beijing: China Coal Industry Publishing House, 1996: 105-108. (in Chinese)
[10] BRADY B H G, BROWN E T. Rock mechanics for underground mining[M]. 3rd ed. New York: Kluwer Academic Publishers, 2005:454-463.
[11] KVAPIL R. Sublevel caving. SME mining engineering handbook[M]. 2nd ed. HARTMAN H L, ed. New York: Soc Min Engrs,AIME, 1992:1789-1814.
[12] 陈若曦,朱斌,陈云敏,等. 基于主应力轴旋转理论的修正Terzaghi松动土压力[J]. 岩土力学, 2010,315:1402-1406. CHEN Ruo-xi, ZHU Bin, CHEN Yun-min, et al. Modified Terzaghi loosening earth pressure based on theory of main stress axes rotation[J]. Rock and Soil Mechanics, 2010, 315
[13] RICHARD L H. The arch in soil arching[J]. Journal of Geotechnical Engineering, 1985,1113:302-318.
[14] MEGUID M A, SAADA O, NUNES M A,et al. Physical modeling of tunnels in soft ground：A review[J]. Tunneling and Underground Space Technology, 2008,23:185-198.
[15] CHAMBON P, CORTÉ J F. Shallow tunnel in cohesionless soil: Stability of tunnel face[J]. Journal of Geotechnical Engineering, 1994,1207:1148-1165.
[16] 蒋波. 挡土结构土拱效应及土压力理论研究[D]. 杭州:浙江大学, 2005.JIANG Bo. Studies on soil arching effect and earth pressure for retaining structure[D]. Hangzhou