Dynamic analysis of arch dams considering fluid-structure interaction

  • Yoshi Raul Vela Calderón Facultad de Ingeniería Civil, Universidad Nacional de Ingeniería, Lima, Perú
  • Hugo Victor Luis Scaletti Farina Centro Japón-Perú para la Investigación de Ingeniería Sísmica y Mitigación de Desastres, Lima, Perú https://orcid.org/0000-0001-6479-1508


The social, economic, and environmental consequences of the failure of an arch dam make it essential to evaluate its dynamic response to mitigate the risk of a disaster. Since the slenderness and flexibility of these dams tend to increase the fluid-structure interaction during an earthquake, this work compares the dynamic response of a hypothetical arch dam in the Marañón river, in northern Perú, for both full and empty-reservoir conditions. Three formulations were used to estimate the hydrodynamic pressures: Westergaard’s added mass, Eulerian and Lagrangian. The comparisons were performed for earthquakes of distinct seismogenic sources, previously matched to a uniform hazard spectrum with a return period of 10000 years. The finite element method was used to derive the seismic demands of the dam-reservoir-foundation system in COMSOL Multiphysics software, carrying out time-history analyses assuming linear elastic behavior of the dam and foundation domains and a massless foundation approach, ignoring the effect of waves propagation in the foundation but considering its stiffness. The results show that the Lagrangian and Eulerian formulations produce similar seismic demands, while Westergaard’s added mass formulation is conservative. The full-reservoir condition generally increases the seismic demands, but the results will depend on the boundary conditions assumed for the fluid and the characteristics of the earthquake, among other factors. Earthquakes matched to the same uniform hazard spectrum do not necessarily produce equal dynamic responses.


La descarga de datos todavía no está disponible.


[1] J. C. Mosquera, “Efectos hidrodinámicos en el análisis sísmico de presas bóveda,” Ing. Agua, vol. 2, no. 5, pp. 45–50, Apr. 1995.
[2] H. M. Westergaard, “Water pressure on dams during earthquakes,” Am. Soc. Civ. Eng. Trans., no. 1835, pp. 418–433, Nov. 1931.
[3] J. S.-H. Kuo, “Fluid-Structure interactions added mass computations for incompressible fluid,” Earthquake Engineering Research Center, University of California, Berkeley, Technical Report N° UCB/EERC-82/09, Aug. 1982.
[4] B. A. Zeidan, “Seismic Finite Element Analysis of Dam-Reservoir-Foundation Interaction,” Egypt, 2015, p. 13.
[5] R. Dungar, “An efficient method of Fluid-Structure coupling in the dynamic analysis of structures,” Int. J. Numer. Methods Eng., vol. 13, pp. 93–107, 1978.
[6] E. L. Wilson and M. Khalvati, “Finite elements for the dynamic analysis of fluid-solid systems,” Int. J. Numer. Methods Eng., vol. 19, pp. 1657–1668, 1983.
[7] O. C. Zienkiewicz and R. L. Taylor, Finite Element Method: The Basis, 5th ed., vol. 1. London, 2000.
[8] A. Tahar, “Dynamic Soil-Fluid-Strucutre Interaction Applied for Concrete Dam,” Doctoral Thesis, Université Aboubekr Belkaïd Tlemcen, Algeria, 2011.
[9] U. S. Army Corps of Engineers, “Theoretical Manual for Analysis of Arch DamsArch,” Department of the Army, Washington, D. C., Technical Report ITL-93-1, Jul. 1993.
[10] F. Sirumbal, “Numerical modeling of dam-reservoir interaction seismic response using the hybrid frequency–time domain (HFTD) method,” Master of Science Thesis, Faculty of Civil Engineering and Geosciences, Delft University of Technology, Delft, 2013.
[11] COMSOL, “Reference Manual.” 2015.
[12] O. C. Zienkiewicz and P. Bettes, “Fluid - Structure Dynamic Interaction and Wave Forces. An Introduction to Numerical Treatment,” Int. J. Numer. Methods Eng., vol. 13, pp. 1–16, 1978.
[13] E. L. Wilson, Three-dimensional static and dynamic analysis of structures. Berkeley, California: Computers and Structures, Inc, 2002.
[14] Y. Vela, “Efectos Hidrodinámicos en Presas de Arco,” Undergraduate Thesis, Civil Engineering Faculty, National University of Engineering, Lima, Perú, 2018.
[15] J. Lysmer and R. L. Kuhlemeyer, “Finite dynamic model for infinite media,” J. Eng. Mech. Div. - Proc. Am. Soc. Civ. Eng., vol. 95, no. 4, pp. 859–877, Aug. 1969.
[16] J. Chung and G. M. Hulbert, “A time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: The Generalized-α Method,” ASME J. Appl. Mech., pp. 371–375, 1993.
[17] U. S. Army Corps of Engineers, “Arch dam design,” Department of the Army, Washington, D. C., Engineer Manual 1110-2–2201, May 1994.
[18] A. K. Chopra and K. L. Fok, “Earthquake analysis and response of concrete arch dams,” Earthquake Engineering Research Center, University of California, Berkeley, Technical Report N° UCB/EERC-85/07, Jul. 1985.
[19] B. Sevim, A. C. Altunsşik, A. Bayraktar, M. Akköse, and Y. Calayir, “Water length and height effects on the earthquake behavior of arch dam-reservoir-foundation systems,” KSCE J. Civ. Eng., vol. 15, no. 2, pp. 295–303, 2011.
[20] Centro Peruano-Japonés de Investigaciones Sísmicas y Mitigación de Desastres CISMID, “Generación de acelerogramas sintéticos para la costa del Perú,” Lima, Perú, Technical report commissioned by SENCICO, 2013.
[21] R. W. Clough, K.-T. Chang, H.-Q. Chen, and Y. Ghanaat, “Dynamic interaction effects in arch dams,” Earthquake Engineering Research Center, University of California, Berkeley, Technical Report N° UCB/EERC-85/11, Oct. 1985.
Cómo citar
Y. Vela Calderón y H. Scaletti Farina, Dynamic analysis of arch dams considering fluid-structure interaction, tecnia, vol. 32, n.º 2, pp. 8-20, ago. 2022.
Ingeniería Civil, Geotecnia y/o Sismoresistente