Applied Physics and Mathematics Annotation << Back TWO-DIMENSIONAL PLANE PRESSURE FIELDS IN AN OIL RESERVOIR WITH IMPERFECT PERFORATION A.I. FILIPPOV, P.N. MIKHAILOV In this work, a solution to the problem of a two-dimensional stationary pressure field in an imperfectly penetrated formation is constructed, which is the case when the perforation interval does not coincide with the formation boundaries. For this, the domain of the problem definition (or the filtration domain) is divided into two subdomains, and the conditions for equality of pressure and fluid flow are added at the separation boundary. The thus obtained equivalent to the original conjugation problem was solved by the Fourier method. Keywords: stationary pressure field, two-dimensional geometry, isolated reservoir, conjugation problem, variable separation method. DOI: 10.25791/pfim.05.2020.1181 Pp. 42-44.