New One-Dimensional Model for Miscible Fluid Injection in Fractured Porous Media

A new mathematical model for miscible displacement in fractured porous media is developed. In this model, in addition to normalized fracture capacity, productivity capacity ratio, viscosity ratio and gravity number, for characterizing the miscible displacement process, the fifth parameter, advection mass transfer between matrix and fracture is introduced. The model takes into account advective, gravitational and crossflow mechanisms of mass exchange between fracture and matrix. The analytical solutions of the problem are provided by utilizing the method of characteristics. The model developed has been compared with experimental results and with previous model, which includes only crossflow between fracture and matrix. There is very good agreement between experiments and this model prediction.

Keywords:

Fractured Porous Media , Crossflow , Advection mass transfer , Laboratory Miscible Displacement , Mathematical Modeling