Simplified Model to Estimate Productivity of Horizontal Well with Multistage Hydraulic Fracturing

Abstract

The article presents a method of approximate evaluation of multistage hydraulic fracturing efficiency in homogeneous single porosity petroleum reservoir. The method considers various types of flow symmetry in certain zones of near-wellbore area. The problem is reduced to one-dimensional differential equation for pressure in fracture and a number of closing analytical formulae. Approximate solution is verified by 3D numerical modeling. Simplified method is applicable both for operational multistage hydraulic fracturing productivity estimation and for mathematical models of petroleum reservoir, especially in large-block modeling.