Boundary element reservoir model for seismic analysis of gravity dams

Abstract

SUMMARYThe boundary element method has been successfully applied in the past to the analysis of hydrodynamic forces in two-and three-dimensional finite water reservoirs subjected to seismic ground motions. In extending the method to an infinite reservoir, the loss of energy due to pressure waves moving away towards infinity must be taken into account. In addition, for both finite and infinite reservoirs, energy is lost owing to partial absorption of the waves incident on a flexible bottom consisting of alluvial deposits. This paper presents the results of more recent research on the application of the boundary element method to the analysis of 2D reservoir vibration. Two different formulations are used: a constant boundary element formulation and a linear boundary element formulation. Special boundary conditions to treat infinite radiation and foundation damping have been incorporated in both formulations. Numerical results have been obtained for each of the two alternative formulations and compared against each other as well as with classical solutions and results obtained by other researchers.

Absorbing Boundaries for the Time-Domain Analysis of Dam-Reservoir-Foundation Systems

“…A similar model but exclusively for the analysis in the frequency domain was developed by Humar and Jablonski [HJ88]. This model was extended to include the effects of the interaction with the foundation by Humar and Chandrashaker [CH93].…”

Dynamic analysis of dam?reservoir-foundation interaction in time domain

“…The boundary element method has also been successfully applied to the dam dynamics (Humar and Jablonski 1988;Medina and Dominguez 1989;Wept et al 1988;Antes and von Estorff 1987;von Estorff and Antes 1991;Touhei and Ohmachi 1993).…”

Assessment of potential-based fluid finite elements for seismic analysis of dam–reservoir systems

“…Some of these procedures were used recently to validate forced-vibration testing of concrete gravity and arch dams [8,9]. During the last decades, several researchers developed advanced analytical and numerical frequency-domain and timedomain approaches to model dynamic dam-reservoir interactions [10][11][12][13][14]. Most of these methods make use of finite elements, boundary elements or a mix of both, and are generally based on a partitioning approach that enables dynamic interaction between the dam and reservoir substructures.…”