Mathematical modeling of consolidation in unsaturated poroelastic soils under fluid flux boundary conditions

Time scales in the primary and secondary compression of soils

“…This theory as well as its variations has dominated the literature in the past several decades. In the context of one-dimensional deformation and flow processes, some major improvements on the theory have been made taking into consideration the effect of partial saturation, [1][2][3][4][5][6][7][8][9][10] time-dependent surface loading, [11][12][13][14][15][16][17] layered soil systems, [18][19][20][21][22][23][24] and simple nonlinearity including plasticity [25][26][27][28] and varying compressibility and permeabilitiy, 23,[29][30][31][32][33] among others. Even though the 1D kinematics have imposed limits on the applicability of these theories, they are still valuable contributions to the literature because they can be represented with closed-form analytical solutions.…”

Drawdown‐induced consolidation of aquifer systems considering water‐table decline

“…Hall and Fox 20 developed a 1‐D large‐strain numerical model of drawdown‐induced consolidation. Lo and Borja 21 derived a one‐dimensional elastic solution for unsaturated soils under flux boundary conditions. Liu et al 22 .…”

Poroelastic response of unsaturated soils to cyclic loads with arbitrary waveforms

“…Lo et al 34,35 investigated the effects of soil texture, stratification, and heterogeneity in water content for a double-layer system with an upper unsaturated soil and a lower saturated soil. Lo et al 36 later quantified the impacts of three patterns of timevarying fluid-flux boundary conditions on the poroelastic responses of unsaturated soils under a constant compressive stress. Most recently, Liu and Borja 37 reformulated the double-porosity idealization to include viscoplasticity in the soil response.…”