Evaluation of the effect of reservoir length on seismic behavior of concrete gravity dams using Monte Carlo method

Document Type : Research

Authors

1 Associate Professor, Faculty of engineering, University of Mohaghegh Ardabili , Ardabil, Iran.

2 Assistant Professor, Faculty of engineering, University of Mohaghegh Ardabili, Ardabil, Iran.

3 M.Sc. graduate of Civil Engineering-Hydraulic Structures, Faculty of engineering, University of Mohaghegh Ardabili, Ardabil, Iran.

Abstract

In present study, the effect of reservoir length on seismic performance of concrete gravity dam has been investigated. Monte Carlo probabilistic analysis has been used to achieve a sensitivity of the responses to variation of truncated reservoir length in finite element model. The ANSYS software based on finite element method is applied for modeling and analysis. The Pine Flat dam in California, under components of El Centro, San Fernando and North Ridge earthquake, is modeled as a case study to evaluate the effect of reservoir length on seismic behavior and optimization. The foundation flexibility has been considered in modeling and Sommerfeld boundary condition has been used for reservoir truncated boundary condition. In Monte Carlo probabilistic analysis, the reservoir length has been considered as input variable and maximum dam crest displacement, maximum hydrodynamic pressure in reservoir and maximum tensile principal stress in heel and compressive principal stress in toe of dam have been selected as output parameters. The Latin Hypercube sampling method has been applied with unique distribution function for input variable.  Obtained results show the sensitivity of output responses to variation of reservoir length. Considering sensitivity results, it is possible to select the optimum length of reservoir for finite element model.

Keywords


  1.  Zienkiewicz, O.C., Bettess, P., "Dynamic fluid-structure interaction: Numerical modeling of the coupled problem", John wiley, New york. (1978), p. 185-193
  2.  Saini SS, Bettess P, Zienkiewicz OC (1978) Coupled hydrodynamic response of concrete gravity dams using finite and infinite elements. Earthquake Engineering & Structural Dynamics, 6(4), 363-374.‌ DOI: 10.1002/eqe.4290060404 [DOI:10.1002/eqe.4290060404]
  3.  Chopra AK, Chakrabarti P (1972) The earthquake experience at Koyna dam and stresses in concrete gravity dams. Earthquake Engineering & Structural Dynamics, 1(2), 151-164. DOI: 10.1002/eqe.4290010204. [DOI:10.1002/eqe.4290010204]
  4.  Sharan, S. K., "Finite element analysis of unbounded and incompressible fluid domains." International Journal for Numerical Methods in Engineering, Vol. 21, Issue 9, 1985, p.1659-1669. [DOI:10.1002/nme.1620210908]
  5.  Sharan, S. K., "Finite Element Modeling of Infinite Reservoirs." Journal of Engineering Mechanics, Vol. 111, Issue 12, 1985, p. 1457-1469. [DOI:10.1061/(ASCE)0733-9399(1985)111:12(1457)]
  6.  Sharan, S. K., "Modelling of radiation damping in fluids by finite elements." International Journal for Numerical Methods in Engineering, Vol. 23, Issue 5, 1986, p. 945-957. [DOI:10.1002/nme.1620230514]
  7. Tsai, C.S., Lee, G.C., Yeh, C.S., "Time-domain analyses of three-dimensional dam-reservoir interactions by BEM and semi-analytical method." Engineering Analysis with Boundary Elements, Vol. 10, Issue 2, 1992, p.107-118. [DOI:10.1016/0955-7997(92)90039-A]
  8.  Jablonski, A. M., Humar, J. L., "Three-dimensional boundary element reservoir model for seismic analysis of arch and gravity dams." Journal of Earthquake Engineering & Structural Dynamics, Vol.19, Issue 3, 1990, pp. 359-376. [DOI:10.1002/eqe.4290190306]
  9.  Cardoso JB, de Almeida JR, Dias JM, Coelho PG (2008) Structural reliability analysis using Monte Carlo simulation and neural networks. Advances in Engineering Software, 39(6), 505-513. DOI: 10.1016/j.advengsoft.2007.03.015. [DOI:10.1016/j.advengsoft.2007.03.015]
  10.  Alembagheri, M., Seyed Kazemi, M., "Seismic performance sensitivity and uncertainty analysis of gravity dams." Journal of Earthquake Engineering & Structural Dynamics, Vol. 44, Issue 1, 2014, p. 41-58. [DOI:10.1002/eqe.2457]
  11.  Pasbani Khiavi, M., "Investigation of the effect of reservoir bottom absorption on seismic performance of concrete gravity dams using sensitivity analysis." KSCE Journal of Civil Engineering, Vol. 20, Issue 5, 2015, p. 1977-1986. [DOI:10.1007/s12205-015-1159-5]
  12.  Pasbani Khiavi, M., "Investigation of seismic performance of concrete gravity dams using probabilistic analysis." Journal of GRAĐEVINAR, Vol. 69, Issue 1, 2017, p. 21-29.
  13.  Pasbani Khiavi, M., Ghorbani, M.A., Ghaed Rahmati, A, Seismic Optimization of Concrete Gravity Dams Using a Rubber Damper, International Journal of Acoustics and Vibration, Vol. 25, No. 3, pp. 425-435, 2020. [DOI:10.20855/ijav.2020.25.31674]
  14.  McKay, M.D., Conover, W.J., Beckman R.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, 21, pp. 239-245, 1979. [DOI:10.1080/00401706.1979.10489755]
  15.  Iman, R.: Latin Hypercube Sampling. In: Encyclopedia of Statistical Sciences, Wiley: New York. DOI: 10.1002/0471667196, 1999. [DOI:10.1002/0471667196]
  16.  Vamvatsikos, D., Fragiadakis M.: Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty, Earthquake Engineering and Structural Dynamics, 39, pp. 141-163, 2010. [DOI:10.1002/eqe.935]
  17.  Chopra AK, Chakrabarti P (1972) The earthquake experience at Koyna dam and stresses in concrete gravity dams. Earthquake Engineering & Structural Dynamics, 1(2), 151-164. DOI: 10.1002/eqe.4290010204. [DOI:10.1002/eqe.4290010204]