“…In the proposed method of solving oblique penetration problems, a three-dimensional problem is reduced, on the basis of the plane sections hypothesis and disregarding peripheral mass and momentum flows, to the combined solution of a number of axisymmetric problems for each meridional section. It is shown that, with well-known local interaction models, this approach enables the reliability of the calculation of both the force and the kinematic characteristics of the penetration process to be increased considerably due to the fact that the dynamics of the free surface and cavitation effects of the covitating flow are taken into account.Investigations 1-13 into the impact and penetration of rigid bodies into porous media are widely used, for example, in searching for the optimal shapes of a penetrating body [14][15][16][17][18] . An analysis of the experimental data on the penetration of a rigid projectile into sandy and argillaceous 9-11 soils, porous aluminium 12 , limestone 13 and other media reveals their instability which justifies the development of simplified approaches to the modelling of transient penetration processes in geomaterials, among which analytical and numericalanalytical methods can be distinguished.…”