The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.

Deux approches au problème de changement d'échelle sont confrontées: les méthodes de calcul de pseudo-fonctions, la prise de moyenne volumique a grande échelle. Cette dernière fondée sur une théorie mathématique plus riche donne des indications précieuses sur les pseudo-fonctions. L’analyse pratique de ces méthodes se fait a l'aide de simulations numériques d'écoulements diphasiques en milieux poreux homogènes et stratifies sous divers régimes d'écoulement. Dans certains cas pratiques, la méthode de prise de moyenne à grande échelle fournit des résultats aussi satisfaisants que ceux obtenus par des méthodes beaucoup plus couteuses et élaborées. Enfin, des règles générales pour le calcul des propriétés effectives en milieux poreux aléatoires sont établies.

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.

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.

This book describes recent developments in hydrometeorological forecasting techniques for a range of timescales, from short term to seasonal and longer terms. It conveniently brings together both meteorological and hydrological aspects in a single volume.