Fastening of hydrotechnical oil-gas mining facilities to seabed soils in Caspian Sea aquatoriums is usually carried out by pile foundations. Sustainability of strength and stability during the design and construction of hydraulic structures requires to solve a number of theoretical and practical problems. Numerous static and dynamic tests (experiments) were carried out in the Caspian Sea aquatorium and in laboratory conditions to solve these issues. The widespread use of pile foundations in the development of offshore oil and gas fields revealed the inconsistency of the domestic scientific methodological and regulatory framework for calculating their load-bearing capacity over the soil. It is established that the wave strikes, acting on pile foundations, interact with the surface design of offshore structures and offshore ground bases. Sea wave banging pile foundations creates vibrations in the pile foundation - topsides offshore structures and moving piles in subgrade. Displacement piles depend on the strength of the reaction between the structure and subgrade, the intensity of the shock wave in the time that passed through piles for offshore soil. At the same time, it takes into account the rheological properties of composite models of shelf soil. Keywords: shelf; stress; ground; pile foundations; wave; marine structures; soil resistance.