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Theory of fluid flows through natural rocks. (English) Zbl 0769.76001

Theory and Applications of Transport in Porous Media. 3. Dordrecht: Kluwer Academic Publishers. ix, 395 p. (1990).
This work is the third volume of the series “Theory and applications of transport in porous media” (series editor: Jacob Bear), and it is a largely expanded and fully revised edition of that published in 1984 (in Russian). It is mainly addressed to petroleum and gas engineers, to specialists in mechanics and applied mathematics which have to apply the models of the theory of fluid flow through porous media.
The authors demonstrate the natural connection between the classical and the modern issues of subterranean hydrodynamics. They use the models and methods of modern continuum mechanics, all the fundamental problems and the basic ideas being presented. As computer mathematics has immensely extended the possibilities of flow predictions, the interpretation of numerical results becomes of main interest; it can be done by obtaining the qualitative properties of the solutions, and for this purpose the authors apply high-level theoretical analysis.
The first half of the book contains the classical theory of subterranean hydrodynamics with an up-to-date presentation and treatment of: elastic seepage drive, gas flow, self-similar flows, and many others. The second half of the book is devoted to modern issues like: fractured reservoirs, non-Newtonian fluids, two-phase flow and capillary phenomena, physico- chemical hydrodynamics of enhanced oil recovery. Many of these problems have been investigated for the first time by the authors themselves. Last but not least, we mention the extended bibliography included.

MSC:

76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
76S05 Flows in porous media; filtration; seepage
76T99 Multiphase and multicomponent flows
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