Numerical Well-Testing Model of Fractured-Well in Low Permeability Reservoir Based on Mutative Permeability Effect

Abstract

At present, threshold pressure gradient method is usually used for describing fluid flow in low-permeability media. However, it is only an approximate approach. In this paper, a 2-D fractured-well model for numerical well-testing considering non-darcy mutative-permeability effect was established, and PSOR iterative algorithm was used for solving the sets of algebraic equations. Based on this model, the typical curves of pressure and pressure derivative were drawn with different sets of parameters. When considering mutative-permeability effect, the pressure derivative curves move upward in each flowing period compared with darcy flowing model. In addition, the range of upward movement is larger as the non-darcy effect is more notable.