Proceedings of the International Conference Porous Media: Physics, Models, Simulation, Moscow, 19 - 21 November 1997

This text covers topics such as: contract metric R-harmonic manifolds; hypersurfaces in space forms with some constant curvature functions; manifolds of pseudodynamics; cubic forms generated by functions on projectively flat spaces; and distinguished submanifolds of a Sasakian manifold Physics of processes with phase transition in porous media; dynamics of the fluid/fluid interface instability; new models of two-phase flow through porous media; flow of foam and non-Newtonian fluids; averaged models of Navie-Stokes flow in porous media; homogenization of flow through highly heterogeneous media; groundwater pollution problems; inverse problems, optimization, parameter estimation This book concerns a rapidly developing area of science that deals with the behavior of porous media saturated by fluids. Three basic aspects of this field are rather uniformly balanced in the book; namely, complex physical mechanisms of processes in porous media, new mathematical models, and numerical methods of process study. The following topics are included: homogenization and up-scaling of flow through heterogeneous media; micro-structural laws of complex flow at the pore scale; flow with phase transition and chemical reactions in porous media; wave propagation in saturated porous media; numerical model of flow in natural oil reservoirs; non-classical models of flow, percolation, fractals, foam flow; multi-phase flow with free surface. The contributors to this volume are leading researchers in the field. An exploration of porous media saturated by fluids. Three basic aspects of this field are balanced in the book: complex physical mechanisms of processes in porous media, new mathematical models, and numerical methods of process study. The contributors are leading researchers in the field. Acoustic waves in medium of porous or granular solid phase saturated with fluid have been investigated by many authors before.