This paper is devoted to the recent advances in self-organized criticality (SOC), and the
concepts. The paper contains three parts; in the first part we present some examples of SOC …

Current paradigms and regulatory mandates implicitly assume that waterflood reservoir
management practices successful in light oils can be extended unmodified to heavier oils. In …

The nature of fluid flow in hydrocarbon reservoirs is very complex because of the
complicated geology formed as a result of the intricate sedimentary processes, which …

Abstract The Bak–Tang–Wiesenfeld (BTW) model is considered on the site-diluted square
lattice, tuned by the occupancy probability p. Various statistical observables of the …

In the present paper we investigate the problem of water propagation in 2 dimensional (2D)
petroleum reservoir in which each site has the probability p of being occupied. We first …

The self-organized criticality on the random fractal networks has many motivations, like the
movement pattern of fluid in the porous media. In addition to the randomness, introducing …

In this paper the geometrical features of the fluid propagation in two-dimensional petroleum
reservoir described by Darcy equations are studied. The porous media are considered to be …

Evaluating interwell connectivities can provide important information for reservoir
management by identifying flow conduits, barriers, and injection imbalances. The multiwell …

Using injection and production data, we can evaluate the connectivity between injector and
producer well pairs to characterize their interwell regions and provide a tool for waterflood …

Determination of the connectivity and conductivity of porous media is of great importance in
evaluation of fluid transport in different systems including petroleum formations, ground …