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软土地层浅埋圆形隧道非达西渗流场解析研究

Analytical solution for non-Darcian seepage field of a shallow circular tunnel in soft soil
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摘要 软土在低水力坡降下的渗流会偏离达西定律,即为非达西渗流模式。假设孔隙水渗透服从指数渗流模式,采用镜像法原理推导了浅埋单孔和双孔圆形隧道非达西渗流场的解析解。结合算例,对浅埋圆形隧道非达西渗流解析解与达西渗流解析解进行了对比分析与验证,并对非达西渗流指数、隧道周围土体与衬砌渗流系数比值对隧道渗流场的影响进行了讨论。结果表明:非达西渗流指数、渗流系数比值对隧道渗流量和周围土体孔压均有较大的影响;随着渗流指数逐渐增大,土体内水头损失加快,隧道周围土体孔压及渗流量逐渐减小;随着土体与衬砌渗流系数比值逐渐增大,衬砌排水能力增强,隧道渗流量逐渐增大,隧道周围土体孔压减小更大。 Flows of pore water in saturated soft soils would deviate from Darcy’s flow law under low hydraulic gradient, which is non Darcy seepage mode. Supposing that the velocity of flow is exponentially related to the hydraulic gradient, the analytical solutions of non-Darcy seepage field in shallow single-hole and double-hole circular tunnels are derived by using the principle of mirror method. The analytical solutions of non-Darcian seepage and Darcian seepage for shallow circular tunnels are compared and verified by case analysis. The influence of non-Darcy seepage index and the seepage coefficient ratio of soil to lining on tunnel seepage field is also discussed. The results show that the non-Darcy seepage index and the ratio of seepage coefficient have great influence on tunnel seepage and pore pressure of surrounding soil. With the increase of seepage index, the loss of water head in soil is accelerated, and the pore pressure and seepage flow around the tunnel are gradually reduced. With the increase of the ratio of seepage coefficient between soil and lining, the drainage capacity of lining is enhanced, the seepage flow of tunnel is gradually increased, and the pore pressure around the tunnel decreases more.
作者 张丙强 王启云 卢晓颖 ZHANG Bing-qiang;WANG Qi-yun;LU Xiao-ying(School of Civil Engineering,Fujian University of Technology,Fuzhou,Fujian 350118,China;Key Laboratory of Underground Engineering,Fujian Province University,Fujlan University of Technology,Fuzhou,Fujlan 350118,China;Transportation Investment Group of Pingtan Comprehensive Pilot Zone,Pmgtan,Fujian 350400,China)
出处 《岩土力学》 CSCD 北大核心 2018年第12期4377-4384,共8页 Rock and Soil Mechanics
基金 福建省自然科学基金项目(No.2017J01671,2015J05090) 福建工程学院科研启动基金项目(No.GY-Z13118).
关键词 软土 圆形隧道 非达西渗流 镜像法 渗流解析解 soft soil circular tunnels non-Darcian seepage image method analytical solution of seepage
作者简介 第一作者:张丙强,男,1979年生,博士,副教授,主要从事道路与铁道工程方面的教学与科研工作。E—mail:csuzhyg@126.com
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