The stress-strain state of a two-phase body under the action of a load is described using a system of partial differential equations (Lame equations), the analytical solution of which can be obtained for a narrow class of problems. To apply one of the variational methods to solving the generalized Lamé system, a functional is written based on the potential energy of deformations, which allows us to expand the range of tasks for the study of mechanical processes in soil foundations under engineering structures.

Keywords: two-phase body, water-saturated soil base, potential energy of a two-phase body, stress-strain state

Within the framework of the kinematic model, calculation formulas are obtained for determining the deformation of a water-saturated base from weak soils, taking into account vertical reinforcement and the bearing capacity of pore water. Theoretically justified the use of vertical reinforcement, aimed at strengthening the bearing capacity of the soil base.

Keywords: weak soil, water-saturated base of the road, deformation, vertical reinforcement