Analysis of Coupled Settlement by Using Three Asymptotic Expansion Parameters

Abstract

Based on Biot's coupled theory of poroelasticity, the uniform loading induced settlement is investigated by applying asymptotic expansion approach. Using three small asymptotic expansion parameters, the variables of settlement and excess pore fluid pressure are expressed in this study. Substituting these variables into the non-dimensional mathematical model, the coupled settlement model of the porous medium can be simplified into the uncoupled ones. The results are verified by the closed-form solutions to show the value of applying asymptotic expansion.