Analytical solution of viscoelastic displacement for surrounding rock of tunnel with arch crown based on complex variables method

LIXINRUI; 谢红强

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Analytical solution of viscoelastic displacement for surrounding rock of tunnel with arch crown based on complex variables method

更新时间：2023-11-14

- Analytical solution of viscoelastic displacement for surrounding rock of tunnel with arch crown based on complex variables method
- Advanced Engineering Sciences Vol. 47, Issue Z1, Pages: 70-75(2015)
- 作者机构：
  
  四川大学水利水电学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 November 2014，
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李心睿,谢红强.基于复变理论的城门洞型隧洞围岩黏弹性位移解析解（研究生论坛）[J].工程科学与技术,2015,47(Z1):70-75.

LIXINRUI, 谢红强. Analytical solution of viscoelastic displacement for surrounding rock of tunnel with arch crown based on complex variables method. [J]. Advanced Engineering Sciences 47(Z1):70-75(2015)
李心睿,谢红强.基于复变理论的城门洞型隧洞围岩黏弹性位移解析解（研究生论坛）[J].工程科学与技术,2015,47(Z1):70-75. DOI：

LIXINRUI, 谢红强. Analytical solution of viscoelastic displacement for surrounding rock of tunnel with arch crown based on complex variables method. [J]. Advanced Engineering Sciences 47(Z1):70-75(2015) DOI：

摘要

中文摘要: 围岩蠕变特性是影响隧洞长期稳定性的主要因素，目前对黏弹性位移仅得到圆形、椭圆形和矩形等简单边界的解析表达式，而对城门洞型隧洞，则尚未提出较精确的黏弹性位移计算式。基于任意边界的围岩弹性位移的计算过程，运用复变函数理论，根据实际情况简化计算模型，推导了城门洞型隧洞围岩边界位移的弹性解析解，再根据弹性-黏弹性对应原理，通过Laplace变换及其逆变换进一步得到了城门洞型隧洞边界位移的黏弹性解析解。结合某软岩隧洞工程，开展解析解、弹性有限元及FLAC3D流变分析，计算表明：三种计算方法洞室边界黏弹性变形规律基本相似，初始弹性变形吻合较好，且黏性变形的演变规律与数值分析及现场实测结果基本一致，表明应用文中方法的实用性和可靠性。

Abstract

Abstract:Creep property of surrounding rock is one of major factors which influence the long-term stability of tunnels. For the analytical solution of the stress and displacement in rocks around deep buried tunnel

the solution formulas only used for tunnel in the shape of circular

oval and rectangle have already been solved. But for the tunnel with arch crown

there is no analytical solution yet. Based on the process of solution for elastic displacement of rocks around the tunnel with any shape

complex variable theory is used to derive the elastic analytical solution for rocks around deep buried tunnel with arch crown by simplifying calculation model. Then

the analytical solution for viscoelastic displacement is gotten by applying the elastic and viscoelastic correspondence principle

the Laplace transforms and inverse transforms. Combined with one soft rock tunnel project

three analysis types have done and compared including analytical solution

elastic finite elements method and rheological process in FLAC3D. The results indicates that

the rule of the boundary displacement of three kinds of calculation methods are basically similar

the initial elastic deformation are basically identical

and the viscous deformation rule is similar to numerical simulation and field data

that validate the practicality and reliability of the formula of displacement.

关键词

隧洞围岩城门洞型复变函数映射函数解析解黏弹性流变

Keywords

TunnelSurrounding rockTunnel with arch crownComplex functionMapping functionanalytical solutionviscoelasticityRheology

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