Flow and Transport in Porous Media and Fractured Rock: From Classical Methods to Modern Approaches With Application to Reservoir Simulation

In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.Content: Chapter 1 Continuum versus Discrete Models (pages 1–7): Chapter 2 The Equations of Change (pages 9–13): Chapter 3 Characterization of Pore Space Connectivity: Percolation Theory (pages 15–37): Chapter 4 Characterization of the Morphology of Porous Media (pages 39–108): Chapter 5 Characterization of Field?Scale Porous Media: Geostatistical Concepts and Self?Affine Distributions (pages 109–141): Chapter 6 Characterization of Fractures, Fracture Networks, and Fractured Porous Media (pages 143–177): Chapter 7 Models of Porous Media (pages 179–211): Chapter 8 Models of Fractures and Fractured Porous Media (pages 213–251): Chapter 9 Single?Phase Flow and Transport in Porous Media: The Continuum Approach (pages 253–298): Chapter 10 Single?Phase Flow and Transport in Porous Media: The Pore Network Approach (pages 299–339): Chapter 11 Dispersion in Flow through Porous Media (pages 341–413): Chapter 12 Single?Phase Flow and Transport in Fractures and Fractured Porous Media (pages 415–465): Chapter 13 Miscible Displacements (pages 467–518): Chapter 14 Immiscible Displacements and Multiphase Flows: Experimental Aspects and Continuum Modeling (pages 519–573): Chapter 15 Immiscible Displacements and Multiphase Flows: Network Models (pages 575–632): "This book introduces the novel porous media formulation for multiphase flow conservation equations, a new, flexible, and unified approach to solve real-world engineering problems"-- "William T. Sha first proposed the novel porous media formulation in an article in Nuclear Engineering and Design in 1980. The novel porous media formulation represented a new, flexible, and unified approach to solve real-world engineering problems. The novel porous media formulation uses the concept of volume porosity, directional surface porosities, distributed resistance, and distributed heat source and sink. Most practical engineering problems involve many complex shapes and sizes of solid internal structures whose distributed resistance is impossible to quantify accurately. The concept of directional surface porosities eliminates the sole reliance on empirical estimation of the distributed resistance of complex-shaped structures often involved in the analysis. The directional surface porosities thus greatly improve the resolution and modeling accuracy and facilitate mock-ups of numerical simulation models of real engineering systems. Both the continuum and conventional porous media formulations are subsets of the novel porous media formulation. Moreover, fluid-structure interactions are explicitly accounted for in this formulation"-- "William T. Sha first proposed the novel porous media formulation in an article in Nuclear Engineering and Design in 1980. The novel porous media formulation represented a new, flexible, and unified approach to solve real-world engineering problems. The novel porous media formulation uses the concept of volume porosity, directional surface porosities, distributed resistance, and distributed heat source and sink. Most practical engineering problems involve many complex shapes and sizes of solid internal structures whose distributed resistance is impossible to quantify accurately. The concept of directional surface porosities eliminates the sole reliance on empirical estimation of the distributed resistance of complex-shaped structures often involved in the analysis. The directional surface porosities thus greatly improve the resolution and modeling accuracy and facilitate mock-ups of numerical simulation models of real engineering systems. Both the continuum and conventional porous media formulations are subsets of the novel porous media formulation. Moreover, fluid-structure interactions are explicitly accounted for in this formulation"-- Provided by publisher

In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.

Annotation In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems Machine generated contents note: 1. Introduction; 2. Averaging relations; 3. Phasic conservation equations and interfacial balance equations; 4. Local-volume-averaged conservation equations and interfacial balance equations; 5. Time averaging of local-volume-averaged conservation equations or time-volume-averaged conservation equations and interfacial balance equations; 6. Time averaging in relation to local volume averaging and time-volume averaging versus volume-time averaging; 7. COMMIX code capable of computing detailed micro-flow fields with fine computational mesh and high-order differencing scheme; 8. Discussion and concluding remarks. Zwei verschiedene Wege der Modellbildung werden vorgestellt. Der erste Weg basiert auf klassischen Fluß- und Transportgleichungen, 'Kontinuumsmodelle' genannt. Der zweite Weg basiert auf modernen Methoden aus der statistischen Physik ungeordneter Materie, d.h. auf 'diskreten Modellen'. Das Buch ist ideal für Doktoranden, für Chemie-, Petrochemie-, Bau- und Umweltingenieure, Geologen, Physiker und alle Wissenschaftler, die sich mit porösen Medien beschäftigen This book is designed to help engineers and scientists solve real-world multiphase flow problems. It introduces the novel porous media formulation for multiphase flow conservation equations. The novel porous media formulation represents a new, flexible and unified approach to solve real-world engineering problems.