Engineering Physics Annotation << Back Filtration Waves in an Imperfectly Opened Formation Filippov A.I., Akhmetova O.V., Zelenova M.A. The problem of the fi ltration-wave pressure fi eld in a layered inhomogeneous medium with a rectangular pressure pulse specifi ed in the well has been solved. The formulation of the problem contains a two-dimensional wave equation in the central perforated area, a wave equa-tion that takes into account the predominance of longitudinal motion in the surrounding non-perforated areas, symmetry conditions in the center of the formation, equality of pressures and fl ows at the interface between the areas, no change in the fi ltration wave fi eld in the initial mo-ment in time and at an infi nite distance from the source of disturbance. An asymptotic solution in the space of the Laplace-Carson transform in the leading approximation is obtained. An exact solution to the problem was found using the Laplace– Carson and Weber integral transformations. It is shown that when the formal parameter of the asymptot-ic expansion tends to zero, the exact solution coincides with the main asymptotic approximation. A solution to the problem of a fi ltration-wave pressure fi eld with a rectangular pressure pulse specifi ed in a well in a completely exposed formation has been constructed. It has been established that the solution to the problem for a completely exposed layer coincides, up to nota-tion, with the solution for an imperfectly exposed layer when the value of the boundary of the exposed interval tends to infi nity. Spatiotemporal dependencies were constructed that describe the dynamics of the pressure pulse in imperfectly and completely exposed layers, and the general properties and features of radial fi ltration waves in one-dimensional and two-dimensional fl ow were studied. Keywords: pressure pulse, fi ltration-wave pressure fi eld, imperfect opening, asymptotic solution, exact solution, integral transformations, numerical inversion. DOI: 10.25791/infi zik.12.2023.1375 Pp. 36-46.