Saeid Sadeghnejad - PhD. student of Reservoir Eng., Sharif University of Technology
Mohsen Masihi - Assistant Professor of Petroleum Engineering, Sharif University of Technology

An alternative approach to high time consuming conventional reservoir modeling is “percolation theory” which is a theory of connectivity and conductivity on geometrically complex systems. In classic percolation, objects link to some fixed points on a lattice which is not an appropriate model for many applications (for example in reality sand bodies can take any size and/or orientation distribution and also they can overlap). Continuum percolation uses permeable objects which can overlap in a study region. Objects used in percolation modeling depending on their usage are different from each others. Usually objects are circles, rectangles in 2-D and cubes and spheres in 3-D. Here we use ellipsoid objects to represent sand bodies in an anisotropic 3-D reservoir. The aim is to find the geometrical percolation threshold and to check the universality of connectivity results by first determining both the universal connectivity exponent and correlation length exponent and then rescaling the results using finite size scaling within percolation theory.

Continuum Percolation, Finite size scaling, Reservoir connectivity, Ellipsoid, Universality