Numerical Model for Liquefaction

by Chyr Pyng Liou, (A.M.ASCE), Engr.; Bechtel Power Corp., Ann Arbor, Mich.,
Frank E. Richart, Jr., (F.ASCE), Prof. of Civ. Engrg.; Univ. of Mich., Ann Arbor, Mich.,
Victor L. Streeter, (F.ASCE), Prof. of Hydr.; Univ. of Mich., Ann Arbor, Mich.,

Serial Information: Journal of the Geotechnical Engineering Division, 1977, Vol. 103, Issue 6, Pg. 589-606

Document Type: Journal Paper


A numerical model for sand deposits subjected to earthquakes is developed. The soil is idealized as a two-phase medium composed of water and a structural skeleton. The water is viscous and compressible, and its motion is described by a generalized Darcy's law. The skeleton is composed of incompressible granular solid particles, and is considered to be under constrained compression. The volume of the soil can be reduced by shearing strains. The model is composed of two interactive parts. The first part models the propagation of plane shear waves from the bedrock. The second part models the pressure wave propagation, which involves the movements of the two phases, the effective stress, and the pore-water pressure. The dependence of the constrained modulus of the skeleton upon the dynamic shear modulus and the dependence of the shearing properties upon the transient effective stress provide the coupling between the two parts of the model.

Subject Headings: Shear waves | Numerical models | Shear modulus | Effective stress | Soil liquefaction | Soil modulus | Compression | Wave propagation

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