Scaling of production data obtained from Random Walk Particle Tracking simulations in highly fractured porous media

We modeled tracer injection through highly fractured media by Random Walk Particle Tracking simulations, and observed that production curves for different R values (distance between injection and production wells) are similar to each other and can be scaled. Hence, if we define P(t) as a probability of a particle to reach the production well within traveling time t, and plot P(t)Rβ vs. t/Rα, we observe that production curves for different values of R overlaid. We identified the dependencies of α and β parameters on fracture network parameters, such as fracture spacing (fracture density) and the fractal characteristics of fracture network.