Effects of Rock Foundation Roughness on the Sliding Stability of Concrete Gravity Dams Based on Topographic Surveys
Publication: Journal of Engineering Mechanics
Volume 145, Issue 7
Abstract
This paper investigates the effects of rock foundation roughness on the shear strength of dam–rock interfaces and dam sliding stability. For this purpose, bathymetric and light detection and ranging (LiDAR) surveys of existing rock foundation surfaces were carried out close to existing dam sites and processed to obtain realistic dam–rock interface geometries differing by their roughness. The generated rock profiles are implemented into nonlinear finite-element models to conduct stability analyses of two gravity dams differing by size. A detailed analysis of the nonlinear response of dam–rock interfaces is presented in terms of limit friction angles, sliding safety factors, dilation angles, apertures, dam displacements, and shear stresses. It is shown that global roughness along dam–rock interfaces can substantially increase their shear strength. Natural local shear keys at a dam–rock interface may greatly improve the sliding stability of gravity dams; however, their effect is found to be sensitive to dam size and rock mechanical properties. Roughness effects on shear strength are found to generally decrease for larger dams. The results also reveal that the influence of rock strength parameters is more significant when the rock foundation surface includes prominent natural shear keys.
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Acknowledgments
The authors would like to acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada (NSERC) and Hydro-Québec. The authors would also like to thank the staff at the Hydro-Québec Auscultation and Topography Unit for their collaboration.
References
Abellàn, A., T. Oppikofer, M. Jaboyedoff, N. Rosser, M. Lim, and M. Lato. 2014. “Terrestrial laser scanning of rock slope instabilities.” Earth Surface Processes Landforms 39 (1): 80–97.
ADINA. 2017. Theory and modeling guide. Watertown, MA: ADINA R&D.
Alliard, P. M., and P. Léger. 2008. “Earthquake safety evaluation of gravity dams considering aftershocks and reduced drainage efficiency.” J. Eng. Mech. 134 (1): 12–22. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:1(12).
Alonso, E., I. Carol, C. Delahaye, A. Gens, and P. Prat. 1996. “Evaluation of safety factors in discontinuous rock.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33 (5): 513–537. https://doi.org/10.1016/0148-9062(95)00078-X.
Arabshahi, H., and V. Lotfi. 2008. “Earthquake response of concrete gravity dams including dam-foundation interface nonlinearities.” J. Eng. Struct. 30 (11): 3065–3073. https://doi.org/10.1016/j.engstruct.2008.04.018.
Bai, Y., and T. Wierzbicki. 2010. “Application of extended Mohr–Coulomb criterion to ductile fracture.” Int. J. Fract. 161 (1): 1–20. https://doi.org/10.1007/s10704-009-9422-8.
Ballivy, G., C. Gravel, T. El Malki, P. Rivard, B. Rousseau, and J. Gagnon. 2007. “The shear strength of joints in existing dam foundations.” In Proc., 11th Int. Society for Rock Mechanics Congress. London: Taylor & Francis Group.
Barton, N. 1973. “Review of a new shear-strength criterion for rock joints.” Eng. Geol. 7 (4): 287–332. https://doi.org/10.1016/0013-7952(73)90013-6.
Barton, N. 2013. “Shear strength criteria for rock, rock joints, rockfill and rock masses: Problems and some solutions.” J. Rock Mech. Geotech. Eng. 5 (4): 249–261. https://doi.org/10.1016/j.jrmge.2013.05.008.
Barton, N., and V. Choubey. 1977. “The shear strength of rock joints in theory and practice.” Rock Mech. Rock Eng. 10 (1): 1–54. https://doi.org/10.1007/BF01261801.
Bathe, K. J., and A. Chaudhary. 1985. “A solution method for planar and axisymmetric contact problems.” Int. J. Num. Methods Eng. 21 (1): 65–88. https://doi.org/10.1002/nme.1620210107.
Bolzon, G. 2010. “Collapse mechanisms at the foundation interface of geometrically similar concrete gravity dams.” J. Eng. Struct. 32 (5): 1304–1311. https://doi.org/10.1016/j.engstruct.2010.01.008.
CDA (Canadian Dam Association). 2007. Dam safety guidelines. Edmonton, Canada: CDA.
Chen, D. H., and C. B. Du. 2011. “Application of strength reduction method to dynamic anti-sliding stability analysis of high gravity dam with complex dam foundation.” Water Sci. Eng. 4 (2): 212–224. https://doi.org/10.3882/j.issn.1674-2370.2011.02.009.
Chen, W. F. 2007. Plasticity in reinforced concrete. Fort Lauderdale, FL: J. Ross Publishing.
Dai, Z., J. T. Liu, W. Wei, and J. Chen. 2014. “Detection of the Three Gorges Dam influence on the Changjiang (Yangtze River) submerged delta.” Sci. Rep. 4 (1): 6600. https://doi.org/10.1038/srep06600.
Dawson, E., W. Roth, and A. Drescher. 1999. “Slope stability analysis by strength reduction.” Geotechnique 49 (6): 835–840. https://doi.org/10.1680/geot.1999.49.6.835.
Dunbar, J. A., P. M. Allen, and P. D. Higley. 1999. “Multifrequency acoustic profiling for water reservoir sedimentation studies.” J. Sediment. Res. 69 (2): 518–527. https://doi.org/10.2110/jsr.69.518.
Ebeling, R. M., M. T. Fong, J. L. Wibowo, and S. A. Chase. 2012. Fragility analysis of a concrete gravity dam embedded in rock and its system response curve computed by the analytical program GDLAD_Foundation. Pittsburgh, PA: USACE Engineer Research and Development Center.
Ebeling, R. M., and M. E. Pace. 1996. “Flow-net-computed uplift pressures along concrete monolith/rock foundation interface.” REMR Bull. 13 (1): 13–17.
Ebeling, R. M., M. E. Pace, and E. E. Morrison. 1997. Evaluating the stability of existing massive concrete gravity structures founded on rock. Vicksburg, MS: US Army Engineer Waterways Experiment Station.
EPRI (Electric Power Research Institute). 1992. Uplift pressures, shear strengths and tensile strengths for stability analysis of concrete gravity dams. Palo Alto, CA: EPRI.
Eterovic, A., and K. Bathe. 1991. “On the treatment of inequality constraints arising from contact conditions in finite element analysis.” J. Comput. Struct. 40 (2): 203–209. https://doi.org/10.1016/0045-7949(91)90347-O.
FERC (Federal Energy Regulatory Commission). 2016. “Gravity dams.” Chap. 3 in Engineering guidelines for the evaluation of hydropower projects. Washington, DC: Office of Energy Projects, Division of Dam Safety and Inspections.
Franklin, J. A., and M. B. Dusseault. 1989. Rock engineering. New York: McGraw-Hill.
FRCOLD (French Commission on Large Dams). 2008. “French recommendations for limit-state analytical review of gravity dam stability.” Eur. J. Environ. Civ. Eng. 12 (9): 1137–1164. https://doi.org/10.1080/19648189.2008.9693071.
Furnans, J., and B. Austin. 2008. “Hydrographic survey methods for determining reservoir volume.” J. Environ. Modell. Software 23 (2): 139–146. https://doi.org/10.1016/j.envsoft.2007.05.011.
Goodman, R. E., and A. Bro. 2005. “Shear strength of a foundation with two dimensional roughness.” In Proc., 40th US Symp. on Rock Mechanics. Alexandria, VA: American Rock Mechanics Association.
Gutiérrez, M. 2013. “Shear resistance for concrete dams.” Ph.D. thesis, Dept. of Hydraulic and Environmental Engineering, Norwegian Univ. of Science and Technology.
Hu, H., T. Fernandez-Steeger, M. Dong, and R. Azzam. 2012. “Numerical modeling of LiDAR-based geological model for landslide analysis.” Autom. Constr. 24: 184–193. https://doi.org/10.1016/j.autcon.2012.03.001.
Huang, M., and C. Jia. 2009. “Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage.” Comput. Geotech. 36 (1–2): 93–101. https://doi.org/10.1016/j.compgeo.2008.03.006.
ICOLD (International Commission on Large Dams). 2004. Sliding safety of existing gravity dams. Paris: ICOLD European Club.
Jansen, R. 1988. Advanced dam engineering for design, construction, and rehabilitation. New York: Springer.
Johansson, F. 2009. “Shear strength of unfilled and rough rock joints in sliding stability analyses of concrete dams.” Ph.D. thesis, Dept. of Civil and Architectural Engineering, Royal Institute of Technology of Stockholm.
Kovács, G. 1980. Vol. 10 of Seepage hydraulics. New York: Elsevier.
Krounis, A., F. Johansson, and S. Larsson. 2015. “Effects of spatial variation in cohesion over the concrete-rock interface on dam sliding stability.” J. Rock Mech. Geotech. Eng. 7 (6): 659–667. https://doi.org/10.1016/j.jrmge.2015.08.005.
Ladanyi, B., and G. Archambault. 1969. “Simulation of shear behavior of a jointed rock mass.” In Proc., 11th US Symp. on Rock Mechanics, 105–125. Berkeley, CA: American Rock Mechanics Association.
Lee, C. H., and I. W. Farmer. 1993. Fluid flow in discontinuous rocks. London: Chapman & Hall.
Liu, Z. Y., X. G. Li, C. W. Du, L. Lu, Y. R. Zhang, and Y. F. Cheng. 2009. “Effect of inclusions on initiation of stress corrosion cracks in X70 pipeline steel in an acidic soil environment.” Corros. Sci. 51 (4): 895–900. https://doi.org/10.1016/j.corsci.2009.01.007.
Lo, K., T. Ogawa, B. Lukajic, G. F. Smith, and J. H. K. Tang. 1991. “The evaluation of stability of existing concrete dams on rock foundations and remedial measures.” In Proc., 17th Int. Congress on Large Dams, 963–990. Paris: ICOLD.
López Cela, J. J. 2002. “Material identification procedure for elastoplastic Drucker-Prager model.” J. Eng. Mech. 128 (5): 586–591. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:5(586).
MacGregor, P., R. Fell, D. Stapledon, G. Bell, and M. Foster. 2014. Geotechnical engineering of dams. Boca Raton, FL: CRC Press.
Moradian, Z., C. Gravel, A. Fathi, G. Ballivy, P. Rivard, and M. Quirion. 2013. “Developing a high capacity direct shear apparatus for the large scale laboratory testing of rock joints.” In Rock mechanics for resources, energy and environment, 315–320. London: CRC Press.
Neville, A. M. 1996. Properties of concrete. 4th ed. New York: Pitman Publishing.
Nuss, L. K., N. Matsumoto, and K. D. Hansen. 2012. “Shaken, but not stirred—Earthquake performance of concrete dams.” In Proc., 32nd Annual United States Society on Dams Conf., 1511–1530. Denver: United States Society on Dams.
Patton, F. D. 1966a. “Multiple modes of shear failure in rock.” In Vol. 1 of Proc., 1st Int. Society for Rock Mechanics Congress, 509–513. Salzburg, Austria: International Society for Rock Mechanics and Rock Engineering.
Patton, F. D. 1966b. “Multiple modes of shear failure in rock and related materials.” Ph.D. thesis, Dept. of Geology, Univ. of Illinois at Urbana-Champaign.
Plizzari, G. A. 1998. “On the influence of uplift pressure in concrete gravity dams.” Eng. Fract. Mech. 59 (3): 253–267. https://doi.org/10.1016/S0013-7944(97)80281-0.
Renaud, S., N. Bouaanani, and B. Miquel. 2016. “Critical appraisal of common simplified assumptions in seismic stability analyses of gravity dams.” J. Perform. Constr. Facil. 30 (5): 04016017. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000843.
Rousseau, B., B. Ballivy, and P. Rivard. 2011. “Study and characterization of the roughness: The interfaces of gravity dams.” In Proc., 2011 Pan-Am CGS Geotechnical Conf. Richmond, BC, Canada: Canadian Geotechnical Society.
Seidel, J., and C. Haberfield. 1995. “The application of energy principles to the determination of the sliding resistance of rock joints.” Rock Mech. Rock Eng. 28 (4): 211–226. https://doi.org/10.1007/BF01020227.
Seidel, J., and C. Haberfield. 2002. “Laboratory testing of concrete-rock joints in constant normal stiffness direct shear.” ASTM Geotech. Test. J. 25 (4): 391–404. https://doi.org/10.1520/GTJ11292J.
Snow, D. T. 1968. “Rock fracture spacings, openings, and porosities.” J. Soil Mech. Found. Div. 94 (1): 73–91.
Tatone, B. S., and G. Grasselli. 2010. “A new 2D discontinuity roughness parameter and its correlation with JRC.” Int. J. Rock Mech. Min. Sci. 47 (8): 1391–1400. https://doi.org/10.1016/j.ijrmms.2010.06.006.
Tatone, B. S., and G. Grasselli. 2013. “An investigation of discontinuity roughness scale dependency using high-resolution surface measurements.” Rock Mech. Rock Eng. 46 (4): 657–681. https://doi.org/10.1007/s00603-012-0294-2.
Tatone, B. S. A., A. Lisjak, O. K. Mahabadi, G. Grasselli, and C. R. Donnelly. 2010. “A preliminary evaluation of the combined finite element-discrete element method as a tool to assess gravity dam stability.” In Proc., Annual Canadian Dam Association Conf., Toronto, Canada: Canadian Dam Association.
Tse, R., and D. Cruden. 1979. “Estimating joint roughness coefficients.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 16 (5): 303–307. https://doi.org/10.1016/0148-9062(79)90241-9.
USACE. 1995. Gravity dam design. Washington, DC: USACE.
USACE. 2007. Earthquake design and evaluation of concrete hydraulic structures. Washington, DC: USACE.
USBR (United States Bureau of Reclamation). 2009. “Best practices in dam and levee safety Risk analysis.” Chap. 12 in Risk analysis for concrete gravity dams. Washington, DC: Bureau of Reclamation.
Vulliet, F., M. B. Ftima, and P. Léger. 2017. “Stability of cracked concrete hydraulic structures by nonlinear quasi-static explicit finite element and 3D limit equilibrium methods.” J. Comput. Struct. 184: 25–35. https://doi.org/10.1016/j.compstruc.2017.02.007.
Watson, C., S. Chen, H. Bian, and E. Hauser. 2013. “Lidar scan for blasting impact evaluation on a culvert structure.” J. Perform. Constr. Facil. 27 (4): 460–467. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000318.
Wei, Z., C. Xiaolin, Z. Chuangbing, and L. Xinghong. 2008. “Failure analysis of high-concrete gravity dam based on strength reserve factor method.” Comput. Geotech. 35 (4): 627–636. https://doi.org/10.1016/j.compgeo.2007.10.005.
Wittke, W. 1990. Rock mechanics. Berlin: Springer.
Yu, T., J. G. Teng, Y. L. Wong, and S. L. Dong. 2010. “Finite element modeling of confined concrete. Part I: Drucker-Prager type plasticity model.” Eng. Struct. 32 (3): 665–679. https://doi.org/10.1016/j.engstruct.2009.11.014.
Zhao, J. 2000. “Applicability of Mohr-Coulomb and Hoek-Brown strength criteria to the dynamic strength of brittle rock.” Int. J. Rock Mech. Min. Sci. 37 (7): 1115–1121. https://doi.org/10.1016/S1365-1609(00)00049-6.
Zienkiewicz, O. C., C. Humpheson, and R. W. Lewis. 1975. “Associated and nonassociated visco-plasticity and plasticity in soil mechanics.” Geotechnique 25 (4): 671–689. https://doi.org/10.1680/geot.1975.25.4.671.
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 7 • July 2019
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©2019 American Society of Civil Engineers.
History
Received: Jan 22, 2018
Accepted: Oct 18, 2018
Published online: Apr 29, 2019
Published in print: Jul 1, 2019
Discussion open until: Sep 29, 2019
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