Analysis of one-dimensional consolidation of fractional viscoelastic saturated soils under continuous drainage boundary conditions

Abstract

This paper presents the one-dimensional (1D) viscoelastic consolidation system of saturated clayey soil under continuous drainage boundaries. The fractional-derivative Merchant (FDM) model has been introduced into the consolidation system to simulate the viscoelasticity. Swartzendruber’s flow law is also introduced to describe the non-Darcian flow characteristics simultaneously. The generalized numerical solution of the 1D consolidation under continuous boundaries is given by the finite difference scheme. Furthermore, to illustrate the effectiveness of the numerical method, two simplified cases are compared against the current analytical and numerical results. Finally, the effects of boundary parameters and model parameters on the viscoelastic consolidation were illustrated and discussed. The results indicated that the boundary parameters have a significant influence on consolidation. The larger the values of boundary parameters, the faster the whole dissipation of the excess pore-water pressure and soils’ settlement rate. Fractional-order and viscosity parameter have little effect on consolidation, which are primarily significant in the middle and late consolidation phases. With the increase of the modulus ratio, the whole consolidation process becomes faster. Moreover, considering Swartzendruber’s flow delays the consolidation rate of the soil layer.

Keywords

continuous drainage boundaries / fractional-derivative / Swartzendruber’s flow / finite difference method / viscoelastic

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