Probabilistic model of the distribution of rocks pore space fluid saturation as a base of specification of petrophysical models of reservoir properties

Authors: E.O. Belyakov , S.E. Frantsuzov, Sh.V. Mukhidinov , E.V. Stremichev , D.M. Makukhov (Gazpromneft NTС LLC, RF, Saint-Petersburg)

Key words: reservoir properties, the percolation theory, percolating cluster, connectivity factor, percolation threshold.

The principles of obtaining basic petrophysical models of reservoir properties present in the article. The reservoir is represented as a percolation lattice with a random elements reflecting connectedness of pore space in rocks.

The formalization of the system model, reflecting pores connectivity, is made. Previously obtained computer simulation materials in order to obtain simple universal mathematical laws, on the base of which it is possible to create generalized petrophysical models of reservoir properties, are reviewed. Scaling of model elements is carried out.