Predicting oil recovery using percolation theory

In this paper we apply scaling laws from percolation theory to the problem of estimating the time for a fluid injected into an oil field to breakthrough into a production well. The main contribution is to show that, when these previously published results are used on realistic data, they are in good agreement with results calculated in a more conventional way but they can be obtained significantly more quickly. As a result they may be used in practical engineering circumstances and aid decision-making for real field problems.

[1]  Peter R. King,et al.  The Connectivity and Conductivity of Overlapping Sand Bodies , 1990 .

[2]  Flow between two sites on a percolation cluster , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[4]  S. Havlin,et al.  Diffusion in disordered media , 2002 .

[5]  P. King.  The use of renormalization for calculating effective permeability , 1989 .

[6]  Kyrre Bratvedt,et al.  A New Front-Tracking Method for Reservoir Simulation , 1992 .

[7]  J. S. Andrade,et al.  Traveling time and traveling length in critical percolation clusters. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  H. Stanley,et al.  Scaling of the Distribution of Shortest Paths in Percolation , 1998, cond-mat/9908435.

[9]  J. Quastel.  Diffusion in Disordered Media , 1996 .

[10]  P. Gennes.  Scaling Concepts in Polymer Physics , 1979 .

[11]  W. G. Price,et al.  Renormalization calculations of immiscible flow , 1993 .