Abstract
In the present study, the structural stability and safety of gravity dams located on inhomogeneous rock foundations is evaluated under the static loads of self-weight, hydrostatic, and uplift pressures using the overstress and the sliding safety indices. Considering Pine Flat gravity dam as case study, its 2D monolith together with its foundation is numerically analyzed using the finite element method. The spatial configuration of the foundation is changed in two main groups by inserting one or two single large joint(s)/fault plane(s). The coupled stress–seepage problem is solved to accurately obtain the seepage regime and the uplift forces. The effects of the position of the foundation joint(s), mechanical and permeability properties of the rock, and the presence of the uplift forces on the safety and stability of the dam are assessed through a detailed parametric study.
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References
USACE: Gravity dam design. US Army Corps of Engineers. EM 1110-2-2200. Washington, DC (1995)
Chopra, A.K.; Chakrabarti, P.; Gupta, S.: Earthquake response of concrete gravity dams including hydrodynamic and foundation interaction effects. Report No. UCB/EERC-80/01. University of California, Berkeley (1980)
Sun, G.H.; Zheng, H.; Liu, D.F.: A three-dimensional procedure for evaluating the stability of gravity dams against deep slide in the foundation. Int. J. Rock Mech. Min. Sci. 48, 421–426 (2011)
Zhang, L.; Wang, D.; Zhang, H.; Wang, W.: Stability analysis of gravity dams on sloping layered rock foundation against deep slide. In: 11th ASCE Aerospace Division International Conference, Long Beach, CA, USA (2008)
John, K.W.: An approach to rock mechanics. J. Soil Mech. Found. Div. 88(4), 1–30 (1962)
Rogers, J.D.: Lessons learned from the St. Francis dam failure. Geo-Strata. Reston: ASCE; 7–14 (2006)
Londe, P.; Vigier, G.; Vormeringer, R.: Stability of rock slopes: a three-dimensional study. J. Soil Mech. Found. Div. ASCE 95(SM1), 235–262 (1969)
Hosseinzadeh, A.; Nobarinasab, M.; Soroush, A.; Lotfi, V.: Coupled stress–seepage analysis of Karun III concrete arch dam. Proc. Inst. Civ. Eng. Geotech. Eng. GE5, 483–501 (2013)
Ukhov, S.B.; Semenov, V.V.; Kotov, P.B.; Shevarina, N.N.: Analysis of the interaction of a concrete dam and nonhomogeneous joint-block rock foundation. Transl. Gidrotechnicheskoe Stroitel’stvo 9, 27–32 (1978)
Lin, G.; Du, J.; Hu, Z.: Earthquake analysis of arch and gravity dams including the effects of foundation inhomogeneity. Front. Archit. Civ. Eng. China 1, 41–50 (2007)
Fenves, G.; Chopra, A.K.: Simplified earthquake analysis of concrete gravity dams: combined hydrodynamic and foundation interaction effects. J. Eng. Mech. 111, 736–756 (1985)
Alembagheri, M.; Ghaemian, M.: Incremental dynamic analysis of concrete gravity dams including base and lift joints. Earthq. Eng. Eng. Vib. 12, 119–134 (2013)
Roberts, A.: A model study of rock foundation problems underneath a concrete gravity dam. Eng. Geol. 1, 349–372 (1966)
Ukhov, S.B.; Semenov, V.V.: Calculation of displacements and stresses in anisotropic rocks by the finite element method. Gidrotechnicheskoe Stroitel’stvo 2, 146–154 (1973)
Kotov, P.B.: Stressed state and Bearing capacity of anchors embedded in rocks. Gidrotechnicheskoe Stroitel’stvo 12, 1167–1170 (1975)
Semenov, V.V.; Shevarina, N.N.: Application of the finite element method in calculating seepage in the foundations of hydraulic structures. Gidrotechnicheskoe Stroitel’stvo 4, 326–331 (1976)
Chen, Y.; Zhang, L.; Yang, G.; Dong, J.; Chen, J.: Anti-sliding stability of a gravity dam on complicated foundation with multiple structural planes. Int. J. Rock Mech. Min. Sci. 55, 151–156 (2012)
Kovari, K.; Peter, G.: Continuous strain monitoring in the rock foundation of a large gravity dam. Rock Mech. Rock Eng. 16, 157–171 (1983)
Chen, S.; Qiang, S.; Shahrour, I.; Egger, P.: Composite element analysis of gravity dam on a complicated rock foundation. Int. J. Geomech. 8, 275–284 (2008)
Ferdousi, A.; Gharabaghi, A.R.; Ahmadi, M.T.; Chenaghlou, M.R.; Emami Tabrizi, M.: Earthquake analysis of arch dams including the effects of foundation discontinuities and proper boundary conditions journal of theoretical and applied mechanics. J. Theor. Appl. Mech. 52, 579–594 (2014)
Alonso, E.E.; Pinyol, N.M.; Pineda, J.: Foundation of a Gravity dam on layered soft rock: shear strength of bedding planes in laboratory and large “in situ” tests. Geotech. Geol. Eng. 32, 1439–1450 (2014)
Goldgruber, M.; Shahriari, S.; Zenz, G.: Dynamic sliding analysis of a gravity dam with fluid-structure-foundation interaction using finite elements and Newmark’s sliding block analysis. Rock Mech. Rock Eng. 48, 2405–2419 (2015)
Guo, L.; Li, T.; Lu, S.; Guo, Y.: Deep sliding stability analysis of gravity dam based on fem strength reduction. Adv. Mater. Res. 243–249, 4608–4613 (2011)
Pausz, S.; Nowotny, H.; Jung, G.: Rock mass classification and geotechnical model for the foundation of a RCC gravity dam. Geomech. Tunn. 8, 436–440 (2015)
Xuhua, R.; Jiaqing, S.; Nenghui, B.; Hongyun, R.: Stability analysis of concrete gravity dam on complicated foundation with multiple slide planes. Water Sci. Eng. 1, 65–72 (2008)
He, W.; He, Y.: Stability analysis on Tingzikou gravity dam along deep-seated weak planes during earthquake. Front. Struct. Civ. Eng. 6, 69–75 (2012)
Leclerc, M.; Leger, P.; Tinawi, R.: Computer aided stability analysis of gravity dam-CADAM. Adv. Eng. Softw. 34, 403–420 (2003)
Guo, H.; Xu, W.; Wu, Z.: Study on coupling influences of concrete dam foundation seepage, stress, and creep on structure behaviors of dam body. Elsevier Geo-Eng. Book Ser. 2, 753–758 (2004)
Gu, C.; Su, H.; Zhou, H.: Study on coupling model of seepage-field and stress-field for rolled control concrete dam. Appl. Math. Mech. (English Edition) 26, 355–363 (2005)
Chen, S.; Xu, M.; Shahrour, I.; Egger, P.: Analysis of arch dams using coupled trial load and block element methods. J. Geotech. Geoenviron. Eng. 129, 977–986 (2003)
Hohberg, J.M.: A joint element for the nonlinear dynamics of arch dams. Ph.D. thesis, Institute of Structural Engineering, Swiss Federal Institute of Technology, Zurich, Switzerland (1992)
Lee, J.S.; Pande, G.N.: A new joint element for the analysis of media having discrete discontinuities. Mech. Cohesive-Frict. Mater. 4, 487–504 (1999)
Samadhiya, N.K.; Viladkar, M.N.; Al-Obaydi, M.: Three dimensional joint/interface element for rough undulating major discontinuities in rock masses. Int. J. Geomech. 8, 327–335 (2008)
Duarte Azevedo, I.C.; Vaz, L.E.; Vargas, E.A.: A numerical procedure for the analysis of the hydromechanical coupling in fractured rock masses. Int. J. Numer. Anal. Methods Geomech. 22, 867–901 (1998)
Junrui, C.; Yanqing, W.; Shouyi, L.: Analysis of coupled seepage and stress fields in rock mass around the Xiaowan arch dam. Commun. Numer. Methods Eng. 20, 607–617 (2004)
Chen, S.H.; Xue, L.L.; Shahrour, I.: Composite element method for the seepage analysis of rock masses containing fractures and drainage holes. Int. J. Rock Mech. Min. Sci. 47, 762–770 (2010)
FERC. Engineering guidelines for evaluation of hydropower projects-Gravity Dams. Federal Energy Regulatory Commission, Office of Energy Projects, Division of Dam Safety and Inspections, Washington DC, USA (2000)
Joshi, S.G.; Gupta, I.D.; Murnal, P.B.: Analyzing the effect of foundation inhomogeneity on the seismic response of gravity dams. Int. J. Civ. Struct. Eng. 6(1), 11 (2015)
Heirany, Z.; Ghaemian, M.: The effect of foundation’s modulus of elasticity on concrete gravity dam’s behavior. Indian J. Sci. Technol. 5(5), 2738–2740 (2012)
Lokke, A.; Chopra, A.K.: Response spectrum analysis of concrete gravity dams including dam-water-foundation interaction. J. Struct. Eng. 141, 04014202 (2015)
Hasani, H.; Arshadnejad, S.; Khodadadi, H.; Goodarzi, N.: 3D numerical modeling of a couple of power intake shafts and head race tunnels at vicinity of a rock slope in Siah Bishe pumped storage dam, north of Iran. J. Appl. Sci. 8, 4294–302 (2008)
Babayan, A.G.: Finite-element method for combined calculations of the seepage regime and static performance of a “concrete-dam/rock-bed” system. Hydrotech. Constr. 26(4), 205–219 (1992)
Zhou, W.; Chang, X.L.; Zhou, C.B.: Failure analysis of high-concrete gravity dam based on strength reserve factor method. Comput. Geotech. 35, 627–36 (2008)
Liu, J.; Feng, X.T.; Ding, X.L.: Stability assessment of the Three-Gorges Dam foundation using physical and numerical modeling—Part II: numerical modeling. Int. J. Rock Mech. Min. Sci. 40, 633–652 (2003)
Alembagheri, M.: Dynamics of submerged intake towers including interaction with dam and foundation. Soil Dyn. Earthq. Eng. 84, 108–119 (2016)
Bretas, E.M.; Leger, P.; Lemos, J.V.: 3D stability analysis of gravity dams on sloped rock foundations using the limit equilibrium method. Comput. Geotech. 44, 147–156 (2012)
Alembagheri, M.; Ghaemian, M.: Seismic performance evaluation of a jointed arch dam. Struct. Infrastruct. Eng. 12, 256–274 (2016)
Zienkiewicz, O.C.; Taylor, R.L.: The finite element method. Butterworth-Heinemann, Oxford (2000)
Abaqus analysis user’s manual. Version 6.11. Dassault Systems Inc. (2001)
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Ganji, H.T., Alembagheri, M. Stability of Monolithic Gravity Dam Located on Heterogeneous Rock Foundation. Arab J Sci Eng 43, 1777–1793 (2018). https://doi.org/10.1007/s13369-017-2755-0
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DOI: https://doi.org/10.1007/s13369-017-2755-0