Numerical algorithm of reinforced concrete lining cracking process for pressure tunnels

Purpose The cracking of a reinforced concrete lining has a significant influence on the safety and leakage of pressure tunnels. This study aims to develop, validate and apply a numerical algorithm to simulate the lining cracking process during the water-filling period of pressure tunnels. Design/methodology/approach Cracks are preset in all lining elements, and the Mohr−Coulomb criterion with a tension cutoff is used in determining whether a preset crack becomes a real crack. The effects of several important factors such as the water pressure on crack surfaces (WPCS) and the heterogeneity of the lining tensile strength are also considered simultaneously. Findings The crack number and width increase gradually with the increase in internal water pressure. However, when the pressure reaches a threshold value, the increase in crack width becomes ambiguous. After the lining cracks, the lining displacement distribution is discontinuous and steel bar stress is not uniform. The measured stress of the steel bar is greatly determined by the position of the stress gauge. The WPCS has a significant influence on the lining cracking mechanism and should not be neglected. Originality/value A reliable algorithm for simulating the lining cracking process is presented by which the crack number and width can be determined directly. The numerical results provide an insight into the development law of lining cracks and show that the WPCS significantly affects the cracking mechanism.

[1]  Krishna Kanta Panthi,et al.  Norwegian Design Principle for High Pressure Tunnels and Shafts: Its Applicability in the Himalaya , 2014 .

[2]  Jian Liu,et al.  Cause investigation and verification of lining cracking of bifurcation tunnel at Huizhou Pumped Storage Power Station , 2016 .

[3]  Günter Hofstetter,et al.  Numerical simulation of the load-carrying behavior of RC tunnel structures exposed to fire , 2009 .

[4]  Kai Su,et al.  Hydro-mechanical interaction analysis of high pressure hydraulic tunnel , 2015 .

[5]  Tinh Quoc Bui,et al.  A fictitious crack XFEM with two new solution algorithms for cohesive crack growth modeling in concrete structures , 2015 .

[6]  F. Jeng,et al.  The deformation of overburden soil induced by thrust faulting and its impact on underground tunnels , 2007 .

[7]  Anton Schleiss,et al.  Design of reinforced concrete linings of pressure tunnels and shafts , 1997 .

[8]  Busari Afis Olumide,et al.  A Finite Element Model for Optimum Design of Plain Concrete Pressure Tunnels under High Internal Pressure , 2012 .

[9]  Giancarlo Gioda,et al.  Investigation on the Cause of Damages of a Deep Tunnel , 2012 .

[10]  Cuiying Zhou,et al.  A pore-scale numerical model for non-Darcy fluid flow through rough-walled fractures , 2017 .

[11]  G. Seeber.  Power conduits for high-head plants. Part one. , 1985 .

[12]  Anton Schleiss.  Design of concrete linings of pressure tunnels and shafts for external water pressure , 1997 .

[13]  M. Marence,et al.  Mechanical-hydraulic interaction in the lining cracking process of pressure tunnels , 2013 .

[14]  Cuiying Zhou,et al.  Modeling Free-Surface Seepage Flow in Complicated Fractured Rock Mass Using a Coupled RPIM-FEM Method , 2017, Transport in Porous Media.

[15]  Xiong Xiao,et al.  Stability analysis of the slope around flood discharge tunnel under inner water exosmosis at Yangqu hydropower station , 2013 .

[16]  G Fernandez,et al.  BEHAVIOR OF PRESSURE TUNNELS AND GUIDELINES FOR LINER DESIGN. DISCUSSION AND CLOSURE , 1994 .

[17]  Ming Xiao,et al.  Study on coupled seepage and stress fields in the concrete lining of the underground pipe with high water pressure , 2009 .

[18]  W. Weibull.  A Statistical Distribution Function of Wide Applicability , 1951 .

[19]  Julio Flórez-López,et al.  Simplified modeling of cracking in concrete: Application in tunnel linings , 2014 .

[20]  Ludovic Jason,et al.  A new bond slip model for reinforced concrete structures: Validation by modelling a reinforced concrete tie , 2015 .

[21]  A. Schleiss.  Design criteria applied for the Lower Pressure Tunnel of the North Fork Stanislaus River Hydroelectric Project in California , 1988 .

[22]  J. S. Y. Wang,et al.  Validity of cubic law for fluid flow in a deformable rock fracture. Technical information report No. 23 , 1979 .