BILINEAR FLOW IN A RESERVOIR WITH AN AUTOMATIC HYDRAULIC FRACTURE
A.M. Il'yasov1, V.N. Kireev2
1OOO RN-BashNIPIneft (Rosneft), Ufa, Russia
2Ufa University of Science and Technology, Ufa, Russia
Keywords: unsteady flow, bilinear flow, finite-length automatic hydraulic fracture, Laplace transform, analytical solution
Abstract
The problem of unsteady bilinear flow of a Newtonian fluid in a reservoir with a finite-length vertical automatic hydraulic fracture connecting an injection and a production well is investigated. One well operates at constant pressure, while the other maintains a constant flow rate. Using the Laplace transform, analytical solutions are obtained for the pressure fields in the automatic hydraulic fracturing and in the reservoir, for the flow velocity in the fracture, and for the seepage rate. Conditions for the existence of a bilinear flow regime are determined. A simplified model of fracture flow using specified leakages is proposed, and analytical solutions in which time is a parameter are found.
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