Abstract
Use of fractional Advection-Dispersion Equation (fADE) has been proposed to describe mass transport in a fractured reservoir. In this study, a finite discrete method to solve the fADE is developed and its accuracy is tested against analytical solutions.
Tracer simulation is carried out using a 3D simulation code for flow analysis (FRACSIM-3D). The fADE mathematical model is applied to fit the numerical tracer results, which show highly anomalous behaviors such as a long tail. The solution to the fADE including a spatial fractional derivative is shown to be in reasonable agreement with the tracer response produced by FRACSIM-3D. The fitting parameters of the fADE equation obtained for well interval of 50 m are used to make predictions of tracer responses for well intervals of 100 m - 500 m. It has been shown that the tracer responses predicted by the fADE model are reasonable close to those obtained by FRACSIM-3D irrespective of the different well intervals. This study demonstrates that the fADE offers a method for predicting tracer responses in a fractured reservoir.
