Study on the effects of hydrodynamic pressure on the dynamic stresses in slabs of high CFRD based on the scaled boundary finite-element method

Abstract As the anti-seepage bodies in concrete-faced rockfill dams (CFRDs), face slabs play a vital role in ensuring dam reliability; thus, the stresses acting on face slabs should be analysed in detail. Considering the importance of the hydrodynamic pressure on high CFRD, the hydrodynamic pressure should be calculated with accurate methods when assessing the safety of high (approximately 300 m) CFRDs in strong ground motion zones. The principal objective of this paper is to investigate the effects of hydrodynamic pressure on the face slab response of a 300 m high CFRD under seismic loads in different directions. A dynamic coupling method for the modelling of CFRD-reservoir systems based on an approach combining the finite-element method (FEM) and the scaled boundary finite-element method (SBFEM) is developed. The hydrodynamic pressure of an incompressible fluid, based on a semi-analytical SBFEM approach, is expressed in the form of a full added-mass matrix. Moreover, the distribution of the hydrodynamic pressure and the mechanism by which it influences the dynamic stresses in the slabs are investigated. It is revealed that hydrodynamic pressure influences the dynamic stress in face slabs through the frictional force between the cushion and the slabs and cannot be neglected in the dynamic analysis of a high CFRD.

[1]  Chongmin Song,et al.  A continued‐fraction‐based high‐order transmitting boundary for wave propagation in unbounded domains of arbitrary geometry , 2008, International Journal for Numerical Methods in Engineering.

[2]  K. Sundquist,et al.  On hydrodynamic earthquake effects , 1949 .

[3]  Murat Emre Kartal,et al.  Seismic failure probability of concrete slab on CFR dams with welded and friction contacts by response surface method , 2010 .

[4]  Longbin Tao,et al.  Short-crested wave interaction with a concentric porous cylindrical structure , 2007 .

[5]  Xiong Zhang,et al.  Three-dimensional dynamic soil-structure interaction analysis in the time domain , 1999 .

[6]  Young Soo Yoon,et al.  Enhanced durability performance of fly ash concrete for concrete-faced rockfill dam application , 2002 .

[7]  Chongmin Song,et al.  Time-domain analysis of gravity dam-reservoir interaction using high-order doubly asymptotic open boundary , 2011 .

[8]  Bin Xu,et al.  Dynamic damage evaluation on the slabs of the concrete faced rockfill dam with the plastic-damage model , 2015 .

[9]  A. Chwang.  Hydrodynamic pressures on sloping dams during earthquakes. Part 2. Exact theory , 1978 .

[10]  Murat Emre Kartal,et al.  Linear and nonlinear response of concrete slab on CFR dam during earthquake , 2010 .

[11]  C. Tsai,et al.  Time‐Domain Analyses of Dam‐Reservoir System. II: Substructure Method , 1991 .

[12]  Anil K. Chopra,et al.  Earthquake analysis of arch dams including dam–water interaction, reservoir boundary absorption and foundation flexibility , 1986 .

[13]  Yalin Arici,et al.  Comparison of 2D versus 3D modeling approaches for the analysis of the concrete faced rock‐fill Cokal Dam , 2013 .

[14]  Mohammad Bazyar,et al.  Transient seepage analysis in zoned anisotropic soils based on the scaled boundary finite‐element method , 2015 .

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

[16]  Degao Zou,et al.  Numerical analysis of dislocations of the face slabs of the Zipingpu Concrete Faced Rockfill Dam during the Wenchuan earthquake , 2011 .

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

[18]  Huabei Liu,et al.  Numerical simulation of the seismic response of the Zipingpu concrete face rockfill dam during the Wenchuan earthquake based on a generalized plasticity model , 2013 .

[19]  P. Dakoulas.  Nonlinear seismic response of tall concrete-faced rockfill dams in narrow canyons , 2012 .

[20]  B. R. Seth.  Measure-concept in mechanics , 1966 .

[21]  J. G. Du,et al.  Hydrodynamic Pressure on Dams Based on SBFEM , 2006 .

[22]  Murat Emre Kartal,et al.  The effect of concrete slab–rockfill interface behavior on the earthquake performance of a CFR dam , 2011 .

[23]  Lin Gao,et al.  Dynamic dam-reservoir interaction analysis including effect of reservoir boundary absorption , 2007 .

[24]  Gao Lin,et al.  Short-crested waves interaction with a concentric cylindrical structure with double-layered perforated walls , 2012 .

[25]  Gao Lin,et al.  A scaled boundary finite element method applied to electrostatic problems , 2012 .

[26]  Gao Lin,et al.  An efficient approach for frequency‐domain and time‐domain hydrodynamic analysis of dam–reservoir systems , 2012 .

[27]  Andrew Deeks,et al.  Potential flow around obstacles using the scaled boundary finite‐element method , 2003 .

[28]  Li Wuxian,et al.  SHRIMP U-Pb zircon age, geochemistry and Nd-Hf isotope of Neoproterozoic mafic dyke swarms in western Sichuan: Petrogenesis and tectonic significance , 2007 .

[29]  John P. Wolf,et al.  Semi-analytical representation of stress singularities as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method , 2002 .

[30]  S. Mohsen Haeri,et al.  Three-dimensional nonlinear seismic analysis of concrete faced rockfill dams subjected to scattered P, SV, and SH waves considering the dam-foundation interaction effects , 2011 .

[31]  Ga Zhang,et al.  Numerical modeling of soil–structure interface of a concrete-faced rockfill dam , 2009 .

[32]  Gao Lin,et al.  Analysis of quadruple corner-cut ridged square waveguide using a scaled boundary finite element method , 2012 .

[33]  Richard E. Goodman,et al.  CLOSURE ON A MODEL FOR THE MECHANICS OF JOINTED ROCK , 1968 .

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

[35]  Chongmin Song,et al.  The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics , 1997 .

[36]  F. Tin-Loi,et al.  Automatic modelling of cohesive crack propagation in concrete using polygon scaled boundary finite elements , 2012 .

[37]  A. A. Dumanoglu,et al.  Asynchronous dynamic analysis of dam-reservoir-foundation systems by the Lagrangian approach , 1996 .

[38]  H. Westergaard.  Water Pressures on Dams During Earthquakes , 1933 .

[39]  Shangming Li,et al.  A Semi-Analytical Solution for Characteristics of a Dam-Reservoir System with Absorptive Reservoir Bottom , 2008 .

[40]  Haitian Yang,et al.  On the use of cyclic symmetry in SBFEM for heat transfer problems , 2014 .

[41]  Gregory L. Fenves,et al.  Earthquake analysis of concrete gravity dams including reservoir bottom absorption and dam-water-foundation rock interaction. , 1984 .