Numerical Simulation and Formulation of Wave Run-Up on Dam Face due to Ground Oscillations Using Major Earthquake Acceleration Records
Publication: Journal of Engineering Mechanics
Volume 142, Issue 6
Abstract
A previously developed computational model is used for wave run-up analysis in a generic two-dimensional reservoir subjected to major earthquake acceleration records. The model is based on numerical solution of the Navier-Stokes equations and pressure equation considering compressibility effects. An existing model has been revised by the volume of fluid (VOF) method with piecewise linear interface calculation (PLIC) to be able to compute violent wave motion in the reservoir and to predict the maximum wave run-up on the dam crest attributable to ground oscillations during an earthquake. The numerical method and the computer code are validated by comparing the free-surface waves with the data available in the literature. The surface wave run-up on a vertical dam is simulated for different reservoir depths using major earthquake acceleration records. Simulations show that the maximum wave height on a dam body depends on the maximum positive ground velocity. On the basis of dimensional analysis, simulation results are presented in a simple dimensionless expression that is proposed for the prediction of the maximum wave run-up on a dam face subjected to earthquake excitation. The proposed relationship can be used for estimation of safety freeboard of dams against earthquake-generated surface waves.
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Acknowledgments
The numerical calculations reported in this paper were performed at TUBITAK ULAKBIM, High Performance and Grid Computing Center (TRUBA Resources).
References
Akkar, S., and Bommer, J. J. (2007). “Empirical prediction equations for peak ground velocity derived from strong-motion records from Europe and the Middle East.” Bull. Seismol. Soc. Am., 97(2), 511–530.
Aviles, J., and Li, X. (1998). “Analytical-numerical solution for hydrodynamic pressures on dams with sloping face considering compressibility and viscosity of water.” Comput. Struct., 66(4), 481–488.
Aydin, I., and Demirel, E. (2012). “Hydrodynamic modeling of dam-reservoir response during earthquakes.” J. Eng. Mech., 164–174.
Bouaanani, N., Paultre, P., and Proulx, J. (2003). “A closed-form formulation for earthquake-induced hydrodynamic pressure on gravity dams.” J. Sound Vib., 261(3), 573–582.
Chelidze, T., Matcharashvili, T., Abashidze, V., Kalabegishvili, M., and Zhukova, N. (2013). “Real time monitoring for analysis of dam stability: Potential of nonlinear elasticity and nonlinear dynamics approaches.” Front. Struct. Civ. Eng., 7(2), 188–205.
Chen, B. F. (1994). “Nonlinear hydrodynamic pressures by earthquakes on dam faces with arbitrary reservoir shapes.” J. Hydraul. Res., 32(3), 401–413.
Chen, B. F. (1996). “Nonlinear hydrodynamic effects on concrete dam.” Eng. Struct., 18(3), 201–212.
Chen, B. F., and Yuan, Y. S. (2011). “Hydrodynamic Pressures on Arch Dam during Earthquakes.” J. Eng. Mech., 34–44.
Chen, B. F., Yuan, Y. S., and Lee, J. W. (1999). “Three dimensional nonlinear hydrodynamic pressures by earthquakes on dam faces with arbitrary reservoir shapes.” J. Hydraul. Res., 37(2), 163–187.
Chen, W., Haroun, M. A., and Liu, F. (1996). “Large amplitude liquid sloshing in seismically excited tanks.” Earthquake Eng. Struct. Dyn., 25(7), 653–669.
Chopra, A. K. (1967). “Hydrodynamic pressures on dams during earthquakes.” J. Eng. Mech. Div., 93(6), 205–223.
Chwang, A. T. (1978). “Hydrodynamic pressures on sloping dams during earthquakes. Part 2. Exact theory.” J. Fluid. Mech., 87(2), 343–348.
Chwang, A. T., and Housner, G. W. (1978). “Hydrodynamic pressures on sloping dams during earthquakes. Part 1. Momentum method.” J. Fluid. Mech., 87(2), 335–341.
Demirel, E., and Aydin, I. (2010). “Global volume conservation in unsteady free surface flows with energy absorbing far-end boundaries.” Int. J. Numer. Methods Fluids, 64(6), 689–708.
Fujimoto, K., and Midorikawa, S. (2002). “Ground-shaking mapping for a scenario earthquake considering effects of geological conditions: A case study for the 1995 Hyogo-ken Nanbu, Japan earthquake.” Earthquake Eng. Struct. Dyn., 31(12), 2103–2120.
Griebel, M., Dornseifer, T., and Neunhoeffer, T. (1998). Numerical simulation in fluid dynamics: A practical introduction, Society for Industrial and Applied Mathematics (SIAM), Philadelphia.
Gueyffier, D., Nadim, A., Li, J., Scardovelli, R., and Zaleski, S. (1999). “Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows.” J. Comput. Phys., 152(2), 423–456.
Harp, E. L., and Jibson, R. W. (1996). “Landslides triggered by the 1994 Northridge, California, earthquake.” Bull. Seismol. Soc. Am., 86(18), 319–332.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid method for the dynamics of free boundaries.” J. Comput. Phys., 39(1), 323–345.
Hung, T. K., and Chen, B. F. (1990). “Nonlinear hydrodynamic pressure on dams.” J. Eng. Mech., 1372–1391.
Hung, T. K., and Wang, M. H. (1987). “Nonlinear hydrodynamic pressure on rigid dam motion.” J. Eng. Mech., 482–499.
Khazai, B., and Sitar, N. (2004). “Evaluation of factors controlling earthquake-induced landslides caused by Chi-Chi earthquake and comparison with the Northridge and Loma Prieta events.” Eng. Geol., 71(1), 79–95.
Lee, G. C., and Tsai, C. S. (1991). “Time-domain analyses of dam-reservoir system. I: Exact solution.” J. Eng. Mech., 1990–2006.
Lin, G., Wang, Y., and Hu, Z. (2012). “An efficient approach for frequency-domain and time-domain hydrodynamic analysis of dam-reservoir systems.” Earthquake Eng. Struct. Dyn., 41(13), 1725–1749.
Miyata, H. (1986). “Finite-difference simulation of breaking waves.” J. Comput. Phys., 65(1), 179–214.
PEER (Pacific Earthquake Engineering Research Center). (2002). “PEER strong motion database.” University of California, Berkeley, CA, 〈http://peer.berkeley.edu/smcat〉 (Sep. 20, 2007).
Tsai, C. S. (1992). “Semi-analytical solution for hydrodynamic pressures on dams with arbitrary upstream face considering water compressibility.” Comput. Struct., 42(4), 497–502.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 6 • June 2016
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© 2016 American Society of Civil Engineers.
History
Received: Mar 17, 2015
Accepted: Dec 21, 2015
Published online: Feb 25, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 25, 2016
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