ARTICLE IN PRESS Soil Dynamics and Earthquake Engineering 30 (2010) 236–257 Contents lists available at ScienceDirect Soil Dynamics and Earthquake Engineering journal homepage: www.elsevier.com/locate/soildyn Propagation of seismic waves through liquefied soils Mahdi Taiebat a, A , Boris Jeremic b , Yannis F. Dafalias b,c , Amir M. Kaynia d , Zhao Cheng e a Department of Civil Engineering, University of British Columbia, Vancouver, BC, Canada V6T 1Z4 Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, USA Department of Mechanics, National Technical University of Athens, Zographou 15780, Hellas d Norwegian Geotechnical Institute, P.O. Box 3930 Ullevaal Stadion, N-0806 Oslo, Norway e Earth Mechanics Inc., Oakland, CA 94621, USA b c a r t i c l e in f o a b s t r a c t Article history: Received 23 March 2009 Received in revised form 21 November 2009 Accepted 23 November 2009 To predict the earthquake response of saturated porous media it is essential to correctly simulate the generation, redistribution, and dissipation of excess pore water pressure during and after earthquake shaking. To this end, a reliable numerical tool requires a dynamic, fully coupled formulation for solid– fluid interaction and a versatile constitutive model. Presented in this paper is a 3D finite element framework that has been developed and utilized for this purpose. The framework employs fully coupled dynamic field equations with a u–p–U formulation for simulation of pore fluid and solid skeleton interaction and a SANISAND constitutive model for response of solid skeleton. After a detailed verification and validation of the formulation and implementation of the developed numerical tool, it is employed in the seismic response of saturated porous media. The study includes examination of the mechanism of propagation of the earthquake-induced shear waves and liquefaction phenomenon in uniform and layered profiles of saturated sand deposits. & 2009 Elsevier Ltd. All rights reserved. Keywords: Numerical analysis Wave propagation Earthquake Liquefaction Constitutive modeling 1. Introduction Performance-based design (PBD) of geotechnical structures is gaining popularity in professional practice and is fostering research in the academic community. PBD relies heavily on modeling and simulation tools. One of the challenges in PBD of geotechnical and geophysical problems is analysis of dynamic transient phenomena in fluid-saturated porous media and, in particular, modeling and simulations of seismic wave propaga- tion. This subject, which can be related to liquefaction, continues to challenge engineering research and practice. In addition, lateral movement of sloping ground as a result of pore pressure generation poses other challenges in PBD. Pore pressure generation phenomenon commonly occurs in loose to medium dense sands that are fully saturated and may induce two related phenomena: the flow liquefaction which leads to flow slides and the cyclic mobility which leads to lateral spreads. Pore pressure generation phenomenon commonly occurs in loose to medium dense sands that are fully saturated and may induce two related phenomena: the flow lique- faction that leads to flow slides and the cyclic mobility that leads to lateral spreads. Flow liquefaction occurs when shear stresses required for static equilibrium exceed residual shear A Corresponding author. Tel.: + 1 604 822 3279; fax: + 1 604 822 6901. E-mail address: mtaiebat@civil.ubc.ca (M. Taiebat). 0267-7261/$ - see front matter & 2009 Elsevier Ltd. All rights reserved. doi:10.1016/j.soildyn.2009.11.003 strength, as opposed to liquefaction, which implies a zero effective stress. In this phenomenon an earthquake brings soil to the point of instability, and deformations are driven by static stresses. The associated failure occurs rapidly with little warning and produces large deformations. On the other hand, cyclic mobility occurs when shear stresses required for static equili- brium are less than residual shear strength. These deformations are driven by dynamic stresses, occur incrementally, and can be large or small [1]. Accumulation of permanent deformations, degradation of soil moduli, increase of hysteretic damping, and change of soil fabric as a function of imposed cyclic shear strains require advanced models and implementations that are tricky but doable. In order to systematically investigate this subject it is necessary to predict the generation, redistribution, and dissipa- tion of excess pore pressures during and after earthquake shaking and their impact on the transmitted waves. A fundamental approach requires a dynamic coupled stress-field analysis. Fully coupled transient response of solid–pore fluid interaction and constitutive behavior of the soil skeletonsolid skeleton play equally important roles in successful numerical simulation of response in saturated granular soil medium. The mechanical model of this interaction, when combined with a suitable constitutive description of the solid phase and with efficient, discrete, computation procedures, allows most transient and static problems involving deformations to be properly modeled and accurately simulated.