Settlement of a soil stratum subjected to an earthquake

Abstract

A settlement analysis of a cohesionless soil layer subjected to an earthquake is presented. A theoretical solution utilizing Bessel functions and based on the so-called densification model for amplitudes has been obtained. This permits to calculate the settlement under cyclic loading. The simplified formula is also presented which allows for the fast and straightforward estimation of settlement.A numerical example is included giving the comparison of results obtained by different methods.

Simplified Probabilistic Analysis of Settlement of Cyclically Loaded Soil Stratum by Point Estimate Method

“…Finally, applying formula (6), the relative change in porosity Φ and the settlement of the soil layer may be determined. The exact solution of this problem was given by Przewłócki and Knabe (1995), who used the Bessel functions. The final expressions for stress and strain amplitudes are:…”

Modelling of Post-flotation Tailings Liquefaction Induced by Paraseismic Events

“…In the past, the C/L model has been applied to numerous boundary value problems corresponding to various engineering issues related to the cyclic response of saturated sands in undrained conditions, see e.g. (Sawicki and Świdziński 1989, 2007, Przewłócki and Knabe 1995, Sawicki 2004. The model parameters were determined for samples of tailings taken from the facility.…”

Simplified estimation of seismically induced settlements

“…In the past, some authors have proposed methods to estimate the amount of seismically induced settlements in dry sands by using numerical methods [5] or suggesting simplified procedures [6][7][8]. These latter procedures differ not only from the way the input motion is treated but also from the rapidity of each process to provide the final amount of settlement: * Finn and Byrne [5] proposed a numerical method where the seismic input motion is a time history recording at the base of the soil profile.…”

“…In addition, he proposed an analytical formulation of the effective distortion at any depth which is supposed to be computed with several iterations. * Przewlocki and Knabe [8] proposed an analytical solution of the problem. In this work, the information required about the seismic motion are the maximum acceleration at the bedrock and the number of cycles representative of the magnitude of the earthquake.…”

“…The proposed method follows both the work of Boussaa and Labb! e e [12] on seismically induced ratcheting of a pressurized pipe and the work of Przewlocki and Knabe [8] on simplified estimation of dynamic vertical settlement of soils. Boussaa and Labb!…”