Semi-analytical solution for a simplified 1D chemo-hydro-mechanical model in fluid-saturated viscoelastic clay

In this paper, a simplified chemo-hydro-mechanics (CHM) model, in which only solute concentration is considered in the aspect of chemistry, is proposed to reflect the viscoelastic deformation of clay soil. By using the proposed model, the responses of the excess pore-fluid pressure, solute concentration, and displacement of the viscoelastic clay soil are derived through the Laplace transform method. Then, semi-analytical solutions, in the time domain, are obtained via the inverse Laplace transform numerically. The influences of viscosity on excess pore-fluid pressure, solute concentration, and displacement are investigated through an illustrative example. The results show that: (1) the clay soil in low viscosity can be simplified as an elastic model; (2) the higher viscosity not only accelerates the dissipation of excess pore-fluid pressure, but also slows down the deformation of the clay soil; (3) the viscosity of clay soil poses little impact on the distribution of solute concentration.

Automated summary

In this paper, a simplified chemo-hydro-mechanics (CHM) model is proposed to reflect the viscoelastic deformation of clay soil. The responses of pore-fluid pressure, solute concentration, and displacement are derived and solutions are obtained numerically. The influences of viscosity on these parameters are investigated and the results show that viscosity affects pore-fluid pressure and displacement, but has little impact on solute concentration distribution.