A new analytical solution for the pressure response of a well intercepting a finite-conductivity fracture is presented. We examine the effects of fracture conductivity, fracture height, drainage boundary size, wellbore storage and phase segregation on the pressure response of such wells. Example applications of the model for history matching of actual buildup examples are presented. We demonstrate that fracture length will be underestimated significantly if a type curve for an infinite-conductivity fracture with wellbore storage is used to analyze wellbore storage distorted data from a well with a finite-conductivity hydraulic fracture.

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