The article considers a retrospective of study of the filtration stability of non-cohesive (sand and gravel) soils carried out by specialists of the Soviet and Russian periods. These are the works of hydraulic scientists: Izbash S.V., Patrashev A.N., Chugaev R.R., Istomina V.S., Pavchich M.P., Pravedny G.H., Lubochkov E.A., Burenkova V.V., Zhilenkov V.N. and others. There is given a detailed description of characteristic features of the operation of filters and drainages of hydraulic structures, earth dams, dikes, other water retaining structures. Numerous approaches to the suffusion processes in sand-gravel soils are generalized. The description of filtration deformations of non-cohesive soils is given: suffusion, colmatation (colmatage), penetration-spillage, erosion and flooding and rebounding. It is shown that in their calculations the authors of dependencies operate such characteristics of soils and filtration as the diameter of particles, gradient and water speed. It is stressed that in modern regulations the allowed natural gradient in a ground construction is determined with a reserve factor, depending on the class of the structure.