A simple and accurate calculation method for finite-conductivity fracture

A simple, rapid and accurate method was developed to calculate the performance of a well intercepted by finite-conductivity fractures. A conductivity influence function (CIF) in Laplace domain has been proposed to build bridges between the finite-conductivity fracture and the uniform-flux fracture. Results show that CIF increases as the dimensionless time before a critical point while it keeps constant after the critical point. A long time approximate solution of CIF in the real domain has been obtained to calculate the shape factor of a finite-conductivity fracture in a bounded rectangular reservoir. Results show that our method can be used for rapid computation of finite-conductivity fractures in different boundary conditions. The method can easily accurately analyze and evaluate the performances of a well intercepted by finite-conductivity fractures.