Effects of spatial variation in cohesion over the concrete-rock interface on dam sliding stability

The limit equilibrium method (LEM) is widely used for sliding stability evaluation of concrete gravity dams. Failure is then commonly assumed to occur along the entire sliding surface simultaneously. However, the brittle behaviour of bonded concrete-rock contacts, in combination with the varying stress over the interface, implies that the failure of bonded dam-foundation interfaces occurs progressively. In addition, the spatial variation in cohesion may introduce weak spots where failure can be initiated. Nonetheless, the combined effect of brittle failure and spatial variation in cohesion on the overall shear strength of the interface has not been studied previously. In this paper, numerical analyses are used to investigate the effect of brittle failure in combination with spatial variation in cohesion that is taken into account by random fields with different correlation lengths. The study concludes that a possible existence of weak spots along the interface has to be considered since it significantly reduces the overall shear strength of the interface, and implications for doing so are discussed.

[1]  Ray Bert Book Review: Risk and Uncertainty in Dam Safety by Desmond N.D. Hartford and Gregory B. Baecher. London: Thomas Telford Books, 2004 , 2005 .

[2]  Tamotsu Matsui,et al.  Finite element slope stability analysis by shear strength reduction technique , 1992 .

[3]  Robert M. Ebeling,et al.  Repair, Evaluation, Maintenance and Rehabilitation Research Program: Evaluating the Stability of Existing Massive Concrete Gravity Structures Founded on Rock , 1997 .

[4]  David Saiang,et al.  Laboratory Tests on Shotcrete-Rock Joints in Direct Shear, Tension and Compression , 2005 .

[5]  M. Cala,et al.  Slope stability analysis with FLAC in 2 D and 3 D , 2006 .

[6]  Victor E. Saouma Reliability based nonlinear fracture mechanics analysis of a concrete dam; a simplified approach , 2005 .

[7]  Zhenming Shi,et al.  Failure analyses of a reinforced embankment by Strength Reduction and Limit Equilibrium Methods considering hardening of soft clay , 2014 .

[8]  Fredrik Johansson,et al.  System Reliability of Concrete Dams with Respect to Foundation Stability: Application to a Spillway , 2013 .

[9]  J. M. Chandra Kishen,et al.  Recent developments in safety assessment of concrete gravity dams , 2005 .

[10]  Bruce R. Ellingwood,et al.  Fragility Analysis of Concrete Gravity Dams , 2001 .

[11]  January METHODOLOGY FOR ESTIMATING THE PROBABILITY OF FAILURE BY SLIDING IN CONCRETE GRAVITY DAMS IN THE CONTEXT OF RISK ANALYSIS , 2015 .

[12]  Guanhua Sun,et al.  A three-dimensional procedure for evaluating the stability of gravity dams against deep slide in the foundation ☆ , 2011 .

[13]  Jonny Sjöberg,et al.  Analysis of failure mechanisms in high rock slopes , 1999 .

[14]  Pierre Léger,et al.  Structural Stability of Concrete Gravity Dams Strengthened by Rockfill Buttressing: Hydrostatic Load , 2006 .

[15]  Gali Madhavi Seismic Stability Analysis of a Himalayan Rock Slope , 2010 .

[16]  Gregory B. Baecher,et al.  Risk and Uncertainty in Dam Safety: Cea Technologies Dam Safety Interest Group , 2004 .

[17]  Feng Gao,et al.  Progressive Failure Research on Foundation Surface of Concrete Gravity Dam , 2010 .

[18]  Eduardo Alonso,et al.  Evaluation of safety factors in discontinuous rock , 1996 .

[19]  Dan M. Frangopol,et al.  Safety, reliability and risk of structures, infrastructures and engineering systems : proceedings of the tenth International Conference on Structural Safety and Reliability (ICOSSAR2009), Osaka, Japan, 13-17 september 2009 , 2009 .

[20]  V. Hajiabdolmajid,et al.  Modelling brittle failure of rock , 2002 .

[21]  Zhou Wei,et al.  Failure analysis of high-concrete gravity dam based on strength reserve factor method , 2008 .

[22]  Jerry Foster,et al.  Procedure for Static Analysis of Gravity Dams Including Foundation Effects Using the Finite Element Method; Phase 1B. Computer-Aided Structural Engineering (CASE) Project , 1994 .

[23]  Alessio Lupoi,et al.  A probabilistic method for the seismic assessment of existing concrete gravity dams , 2011 .

[24]  Cheng-bin Du,et al.  Application of strength reduction method to dynamic anti-sliding stability analysis of high gravity dam with complex dam foundation , 2011 .

[25]  R. Lewis,et al.  Associated and non-associated visco-plasticity and plasticity in soil mechanics , 1975 .

[26]  N. Barton,et al.  FUNDAMENTALS OF ROCK JOINT DEFORMATION , 1983 .

[27]  Xia-Ting Feng,et al.  Stability assessment of the Three-Gorges Dam foundation, China, using physical and numerical modeling—Part I: physical model tests , 2003 .

[28]  Ignacio Escuder-Bueno,et al.  Methodology for estimating the probability of failure by sliding in concrete gravity dams in the context of risk analysis , 2012 .

[29]  Håkan Stille,et al.  Analysis, instrumentation and upgrading of the Krokströmmen Arch Dam , 2010 .

[30]  Moe Momayez,et al.  An investigation of the limit equilibrium method and numerical modeling for rock slope stability analysis , 2014 .

[31]  Y. M. Cheng,et al.  Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods , 2007 .

[32]  Erik H. Vanmarcke,et al.  Random Fields: Analysis and Synthesis. , 1985 .

[33]  N. Barton,et al.  The shear strength of rock joints in theory and practice , 1977 .

[34]  Fredrik Johansson,et al.  Theme C : Estimation of the Probability of Failure of a Gravity Dam for the Sliding Failure Mode , 2011 .

[35]  Armando Miguel Awruch,et al.  Probabilistic finite element analysis of concrete gravity dams , 1998 .

[36]  Gabriella Bolzon,et al.  Collapse mechanisms at the foundation interface of geometrically similar concrete gravity dams , 2010 .

[37]  A. A. Griffith The Phenomena of Rupture and Flow in Solids , 1921 .

[38]  Xing Yang,et al.  Comparison of Strength Reduction Method for Slope Stability Analysis Based on ABAQUS FEM and FLAC3D FDM , 2012 .