Percolation Models for Transport in Porous Media

It is an honour and pleasure to write a foreword to this useful and interesting book. Authors are very well known researchers who pioneered percolation modelling of transport in porous media in Russia from the early 80-th till nowadays. The main scope of the work presented in the book was developed when bright papers by A. Aharony, H.T. Davis, F.A.L. Dullien, A.A. Heiba, R.G. Larson, R. Lenormand, M.Sahimi, L.E. Scriven, D. Stauffer, M. Yanuka, Y.C.Yortsos were not available at the "other" side of the Iron Curtain. Nowadays hundreds of works and papers with the "percolation" keywords ap­ pear in petroleum and related applied research areas. The book will take a re­ markable place in the "petroleum percolation" bibliography. There are two important features of novelty in the monograph presented. First of all the authors developed a generalization of percolation clusters theory for grids with varying conductivity. Technique of representation of an infinite cluster as an hierarchial set of trees (so called r-chain model) allows to present conductivity of a stochastic grid in a closed form of explicit formulae. This method differs from those known in the West, such as effective media theory, solutions for the Bethe-lattice, etc. It has his own area of successful appli­ cations.

Contenu

Foreword. Introduction. I: Fluid and Electric Conductivity in Porous Media. Theoretical Analysis. 1. Percolation Model of Micro Heterogeneous Media. 2. Percolation Models of One-Phase Flow in Rocks of Different Types. 3. Percolation Model of Fluid Flow in Heterogeneous Media. 4. Percolation Model of Steady State Multiphase Flow in Porous Media. 5. Percolation Model of Non-Steady State Two-Phase Flow in Porous Media. 6. Determination of Pore Size Distribution in Grained and Cavernous Rocks. 7. Methods for Determining Parameters of Fractured Rocks. II: Effects of Physical Fields on Recovery of Mineral Resources. 8. Conductivity of a Heterogeneous Medium Under Impulse and Alternating Current. 9. Changing Conductivity and Pore Space Structure with Electric Current. Experiments. 10. Changing Well Production with Electric Treatment. 11. Gas Colmatation Effect during Electric Action on Saturated Porous Media. 12. Effects of Acoustic Waves on Irreversible Change of Permeability of a Saturated Porous Medium. 13. Effect of Acoustic Action on Well Production. Bibliography. Index.