Post-breakthrough scaling in reservoir field simulation

We study the oil displacement and production behavior in an isothermal thin layered reservoir model subjected to water flooding. We use the CMG's (Computer Modelling Group) numerical simulators to solve mass balance equations. The influences of the viscosity ratio (m equivalent to mu(oil)/mu(water)) and the inter-well (injector-producer) distance r on the oil production rate C(t) and the breakthrough time t(br) are investigated. Two types of reservoir configuration are used, namely one with random porosities and another with a percolation cluster structure. We observe that the breakthrough time follows a power-law of in and r, t(br) alpha r(alpha)m(beta), with alpha = 1.8 and beta = -0.25 for the random porosity type, and alpha = 1.0 and beta = -0.2 for the percolation cluster type. Moreover, our results indicate that the oil production rate is a power law of time. In the percolation cluster type of reservoir, we observe that P(t) alpha t(gamma), with gamma = -1.81, where P(t) is the time derivative of C(t). The curves related to different values of m and r may be collapsed suggesting a universal behavior for the oil production rate. (C) 2012 Elsevier B.V. All rights reserved.