A brief analysis of the examined groundwater models has shown that since there is a large variety of soil types and their properties it is impossible to create a universal ground model. A variant of the engineering kinematic theory of ground contact pressure as applied to calculation of certain types of foundations has been suggested. To disclose static indetermination of soil behavior under load, interacting with foundations or fencing, its dimensionless diagram of soil deformation was used, presented as a nonlinear function. An equation for the contact soil pressure on foundations with the use of the proposed coefficient of vertical pressure associated with the coefficients of lateral pressure on the walls of conventional seal wedge was given. An engineering solution has been obtained for rigid foundations settlement for a complete cycle of vertical load. The way to determine the stiffness coefficient of the foundation soil was presented. Application of the engineering kinematic theory of ground contact pressure was shown on some practical examples.