A generalization to transient bilinear flows

A set of analytical solutions to transient pressure and double-porosity (bilinear) flows in the Cartesian domain for constant and variable flow rated wells having hydraulic fractures are presented. Both finite and infinite-fracture reservoir systems with transient linear-flows for the fracture and the formation in wells intercepted by a finite-conductivity vertical fracture are considered. A new method to obtain Laplace-transformed solutions for bilinear flows leading to predictions of new regions of flow behavior is presented. The accurate match of measured production data of a hydraullicaly-fractured well in northeast Mexico using the proposed solutions shows the adequacy of the new approach.