By using integral equation and‘propagator mat rix and rigid mat rix’methods , the horizontally loaded
single pile in layered saturated soil is solved considering consolidation and rheology of layered soil. In order to solve
the proposed problem , the fundamental solutions of horizontal circular load in the interior of the layered half space
are used. The second kind of Fredholm integral equation of the single pile in layered saturated viscoelastic soil is ob2
tained through the fundamental solutions. The integral equation can be simplified by means of Laplace t ransforms
methods. By the corresponding inverse Laplace integral t ransforms method and the numerical solution of the inte2
gral equation , the displacement , shear force and moment of the pile are obtained.