Percolação invasiva entre múltiplos poços

Abstract

In this dissertation we investigate by means of extensive numerical simulation the invasion process that occur in interior of disordered porous media. In this process, the invasion starts from a injection well, and the propagation front moves towards one, or several, extracting wells. In our study, we place the injection well in the center of a square lattice of size L and up to four extraction wells at a distance r of the central injection well and along the natural axes of the square lattice. We study the two following exploring strategies: (A) to bore all wells at the same time; (B) to bore each extracting well only after the oil obtained with the preceding well has been exhausted, that is, when the front reaches the previous well. When the invasion percolation model is applied as a simplified model for the displacement of a viscous fluid by a less viscous one, the distribution of displaced mass follows two distinct universality classes, depending on the criteria used to stop the displacement. Our analysis considers the limit where the pressure of the extraction well Pe is zero, in other words, production stops as soon as the less viscous fluid reaches that extraction well. Our results show that, as expected, the probability of stopping the production with small amounts of displaced mass is greatly reduced. We also investigate whether or not creating extra extraction wells is an efficient strategy. We show that the probability of increasing the amount of displaced fluid by adding an extra extraction well depends of the total recovered mass obtained before adding this well. The results presented here could be relevant to determine efficient strategies in oil exploration.