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

The spatiotemporal variability in precipitation could have a significant impact on ground subsidence. In this paper, we utilize previously developed one-dimensional theory of consolidation for two-fluid system, the generalization Biot's theory, to investigate time-dependent fluid flux across surface an unsaturated soil solid deformation and pore pressure responses. We consider three prescribed patterns associated gradient water pressure: constant, periodic, exponential patterns. employ Fourier series representation Laplace transformation space time domains derive complete set closed-form analytical solutions, including complementary particular describing both transient steady-state excess air responses as well total settlement induced by flux. Using two different types soil, i.e. clay sand, demonstrate dependence solution initial saturation hydraulic conductivity saturated regimes. Results study reveal that dissipation evolution surface. effect is more sand than irrespective moisture content, mainly because much higher sand. Finally, show has dominant behaviors soils subjected