Ebook: Macroscale Models of Flow Through Highly Heterogeneous Porous Media

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.

---

This book is a first attempt to develop the hydrodynamic theory of upscaling for complex flows through highly heterogeneous porous media. The basic consequence of high heterogeneity is the change of the equation type after homogenization that is associated, first of all, with the appearance of various non-local phenomena on the macroscale. All components of the upscaling procedure are examined for single-phase flow, immiscible two-phase and miscible multi-component flow.
This book includes the modification of homogenization techniques, classification of flows, deduction of new effective models of flow, definition of the macroscale parameters and function, description of dynamic or non-equilibrium effects, solution of the cell problems, reduction of the two-phase cell problems to the saturation-independent ones, development of some effective tools to compute the effective functions in disordered highly heterogeneous media, computational analysis of the derived models and applications to some problems of the oil industry.
Audience: This volume is of interest to civil, environmental, hydraulic and petroleum engineers, scientists and engineers in reservoir characterization, chemical engineering and geophysicists.

---

This book is a first attempt to develop the hydrodynamic theory of upscaling for complex flows through highly heterogeneous porous media. The basic consequence of high heterogeneity is the change of the equation type after homogenization that is associated, first of all, with the appearance of various non-local phenomena on the macroscale. All components of the upscaling procedure are examined for single-phase flow, immiscible two-phase and miscible multi-component flow.
This book includes the modification of homogenization techniques, classification of flows, deduction of new effective models of flow, definition of the macroscale parameters and function, description of dynamic or non-equilibrium effects, solution of the cell problems, reduction of the two-phase cell problems to the saturation-independent ones, development of some effective tools to compute the effective functions in disordered highly heterogeneous media, computational analysis of the derived models and applications to some problems of the oil industry.
Audience: This volume is of interest to civil, environmental, hydraulic and petroleum engineers, scientists and engineers in reservoir characterization, chemical engineering and geophysicists.
Content:
Front Matter....Pages i-xxi
One Phase Darcy’s Flow In Double Porosity Media....Pages 1-124
Chemical or Heat Convection-Diffusion Transport Through Highly Heterogeneous Porous Media....Pages 125-209
Dispersion Tensor in Anisotropic Network Media. Stream Configuration Method....Pages 211-244
Two-Phase Flow in Double Porosity Media....Pages 245-327
Two-Phase Flow in Pseudo-Cavity Media....Pages 329-363
Back Matter....Pages 365-365

---

This book is a first attempt to develop the hydrodynamic theory of upscaling for complex flows through highly heterogeneous porous media. The basic consequence of high heterogeneity is the change of the equation type after homogenization that is associated, first of all, with the appearance of various non-local phenomena on the macroscale. All components of the upscaling procedure are examined for single-phase flow, immiscible two-phase and miscible multi-component flow.
This book includes the modification of homogenization techniques, classification of flows, deduction of new effective models of flow, definition of the macroscale parameters and function, description of dynamic or non-equilibrium effects, solution of the cell problems, reduction of the two-phase cell problems to the saturation-independent ones, development of some effective tools to compute the effective functions in disordered highly heterogeneous media, computational analysis of the derived models and applications to some problems of the oil industry.
Audience: This volume is of interest to civil, environmental, hydraulic and petroleum engineers, scientists and engineers in reservoir characterization, chemical engineering and geophysicists.
Content:
Front Matter....Pages i-xxi
One Phase Darcy’s Flow In Double Porosity Media....Pages 1-124
Chemical or Heat Convection-Diffusion Transport Through Highly Heterogeneous Porous Media....Pages 125-209
Dispersion Tensor in Anisotropic Network Media. Stream Configuration Method....Pages 211-244
Two-Phase Flow in Double Porosity Media....Pages 245-327
Two-Phase Flow in Pseudo-Cavity Media....Pages 329-363
Back Matter....Pages 365-365
....