Percolation Theory

Water Flooding Performance Evaluation Using Percolation Theory

Water flooding is a well-known secondary mechanism for improving oil recovery. Conventional approach to evaluate the performance of a water flooding process (e.g. breakthrough and post breakthrough behavior) is to establish a reliable geological reservoir model, upscale it, and then perform flow simulations. To evaluate the uncertainty in the breakthrough time or post breakthrough behavior, thi...

Percolation Theory Authors : Michelle Delcourt

Critical Phenomena in Percolation Theory

In this paper, the critical behavior of the percolation models is reviewed, with emphasis on the scaling laws present and its relationship with other simple models like the Ising magnet. A liitle bit of the history and some examples of its application are given to illustrate the range of phenomena that can be described with such models.

Invasion percolation: a new form of percolation theory

A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path of least resi...

Scaling Theory of Percolation Clusters

s: For beginners: This review tries to explain percolation through the cluster properties; it can also be used as an introduction to critical phenomena at other phase transitions for readers not familiar with scaling theory. In percolation each site of a periodic lattice is randomly occupied with probability p or empty with probability I — p. An s-cluster is agroup of s occupied sites connected...