Stochastic response of concrete faced rockfill dams including partially ice-covered reservoir–foundation interaction under spatially varying seismic waves

Abstract In this study, a linear finite element method which considers viscous boundaries is presented to investigate the effect of the presence of ice cover on the stochastic seismic response of concrete faced rockfill (CFR) dam–reservoir–foundation interaction systems when subjected to spatially varying ground motions. For the spatially varying ground motion, the wave passage effect is included while neglecting the effects of variable soil conditions and loss of coherency. The partially ice-covered reservoir–dam–foundation interaction system is modeled by the Lagrangian (displacement-based) fluid and solid-quadrilateral-isoparametric finite elements. As a numerical example, Torul dam coupled interaction system is investigated for the horizontally applied east–west component of the Kocaeli earthquake ground motion. The ground motion is described by the filtered white noise model and applied to each support point of the two dimensional finite element model of the ice–dam–reservoir–foundation system. A parametric study is carried out to evaluate the effects of the ice cover on the stochastic behavior of the concrete slab of the coupled dam system for variable water level in the reservoir and cracked ice cover. The effect of the ice cover on the stochastic response of the concrete slab with variable thickness is also examined in the study for seismic excitation. It is outlined that the ice cover effects must be considered in the stochastic analyses of CFR dams when subjected to spatially varying ground motions. A parametric study is conducted to investigate the effects of water level in the reservoir (with ice cover and cracked ice cover) on the stochastic behavior of the concrete face slab.

[1]  Musandji Fuamba,et al.  Modeling of dam break wave propagation in a partially ice-covered channel , 2007 .

[2]  Weijun Wang,et al.  Response of indeterminate two-span beam to spatially varying seismic excitation , 1990 .

[3]  H. Tajimi,et al.  Statistical Method of Determining the Maximum Response of Building Structure During an Earthquake , 1960 .

[4]  James L. Sherard,et al.  Concrete‐Face Rockfill Dam: I. Assessment , 1987 .

[5]  Raymond B. Seed,et al.  Seismic Design of Concrete Faced Rockfill Dams , 1985 .

[6]  Patrick Paultre,et al.  A new boundary condition for energy radiation in covered reservoirs using BEM , 2005 .

[7]  N. K. Sinha,et al.  Elasticity of natural types of polycrystalline ice , 1989 .

[8]  Patrick Paultre,et al.  Dynamic response of a concrete dam impounding an ice-covered reservoir: Part II. Parametric and numerical study , 2004 .

[9]  Medhat A. Haroun,et al.  Seismic response analysis of earth dams under differential ground motion , 1987 .

[10]  Melvin J. Dubnick.  Army Corps of Engineers , 1998 .

[11]  Alemdar Bayraktar,et al.  Asynchronous seismic analysis of concrete-faced rockfill dams including dam–reservoir interaction , 2005 .

[12]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[13]  A. Kiureghian,et al.  Response spectrum method for multi‐support seismic excitations , 1992 .

[14]  Nasim Uddin,et al.  Dynamic response of concrete-faced rockfill dams to strong seismic excitation , 1995 .

[15]  Garry Timco,et al.  A review of sea ice density , 1996 .

[16]  Kiyoshi Kanai,et al.  Semi-empirical Formula for the Seismic Characteristics of the Ground , 1957 .

[17]  R. Harichandran,et al.  RESPONSE OF AN EARTH DAM TO SPATIALLY VARYING EARTHQUAKE GROUND MOTION , 2001 .

[18]  Mahmoud R. Maheri,et al.  ASYNCHRONOUS AND NON-UNIFORM SUPPORT EXCITATION ANALYSIS OF LARGE STRUCTURES , 2002 .

[19]  Patrick Paultre,et al.  Two‐dimensional modelling of ice cover effects for the dynamic analysis of concrete gravity dams , 2002 .

[20]  Patrick Paultre,et al.  Dynamic response of a concrete dam impounding an ice-covered reservoir: Part I. Mathematical modelling , 2004 .

[21]  Edward L. Wilson,et al.  Finite elements for the dynamic analysis of fluid‐solid systems , 1983 .

[22]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[23]  Patrick Paultre,et al.  An experimental evaluation of ice cover effects on the dynamic behaviour of a concrete gravity dam , 2002 .

[24]  G. Gazetas,et al.  Seismic analysis and design of rockfill dams: state-of-the-art* , 1992 .

[25]  Nasim Uddin.  A dynamic analysis procedure for concrete-faced rockfill dams subjected to strong seismic excitation , 1999 .

[26]  Rt Severn,et al.  DYNAMIC RESPONSE OF DAMS AND OTHER STRUCTURES TO DIFFERENTIAL GROUND M -OTIONS. , 1984 .

[27]  A. K. Tanrikulu,et al.  Absorbing Boundary Conditions in Soil-Structure Interaction Analyses , 1993 .

[28]  E. R. Pounder,et al.  The Physics of Ice , 1965 .

[29]  Gilles Bureau,et al.  Seismic Analysis of Concrete Face Rockfill Dams , 1985 .

[30]  Kemal Hacıefendioğlu,et al.  Transient stochastic analysis of nonlinear response of earth and rock-fill dams to spatially varying ground motion , 2006 .