Multiphase fluid flow in porous and fractured reservoirs /
[Book]
Yu-Shu Wu
xv, 401 pages :
illustrations ;
23 cm
Includes bibliographical references and index
Front Cover; MULTIPHASE FLUIDFLOW IN POROUS AND FRACTURED RESERVOIRS; Copyright; DEDICATION; CONTENTS; PREFACE; ACKNOWLEDGMENTS; 1 -- Introduction; 1.1 BACKGROUND; 1.2 LITERATURE REVIEW, DEVELOPMENT, AND ADVANCE; 1.3 PURPOSE AND SCOPE; REFERENCES; 2 -- Multiphase Fluids in Porous Media; 2.1 INTRODUCTION; 2.2 BASIC SCIENCE AND ENGINEERING CONCEPTS, FLUIDS AND POROUS MEDIA; 2.3 PHYSICAL PROCESSES AND FLOW-DRIVING MECHANISMS; 2.4 MULTIPHASE POROUS MEDIUM FLOW, DARCY'S LAW AND ITS EXTENSIONS; 2.5 CONCEPTS OF WETTABILITY, CAPILLARY PRESSURE, AND RELATIVE PERMEABILITY; REFERENCES
3 -- Flow-Governing Equations and Mathematical Models3.1 INTRODUCTION; 3.2 THE LAW OF MASS CONSERVATION; 3.3 GOVERNING EQUATIONS OF MULTIPHASE NEWTONIAN FLUID FLOW; 3.4 CONSTITUTIVE RELATIONS; 3.4.1 Saturation Constraint; 3.4.2 Capillary Pressure and Relative Permeability Functions; 3.4.2.1 Capillary Pressure Functions; 3.4.2.2 Relative Permeability Functions; 3.4.3 Fluid and Rock Properties; 3.5 INITIAL AND BOUNDARY CONDITIONS; 3.6 SOLUTION APPROACHES; 3.6.1 Analytical Solutions; 3.6.2 Numerical Methods; 3.6.3 Alternative Modeling Methods; REFERENCES; 4 -- Numerical Model and Formulation
4.1 INTRODUCTION4.2 GENERALIZED NUMERICAL DISCRETIZATION; 4.3 NUMERICAL SOLUTION SCHEME; 4.4 TREATMENT OF INITIAL AND BOUNDARY CONDITIONS; 4.4.1 First-Type Boundary Conditions; 4.4.2 Flux-Type Boundary Conditions; 4.4.3 Well Treatment; 4.5 MODEL VERIFICATION AND VALIDATION; REFERENCES; 5 -- Two-Phase Immiscible Displacement; 5.1 INTRODUCTION; 5.2 TWO-PHASE FLOW GOVERNING EQUATIONS; 5.3 FRACTIONAL FLOW EQUATION; 5.4 BUCKLEY-LEVERETT SOLUTION AND WELGE'S APPROACH; 5.4.1 Buckley-Leverett Solution; 5.4.2 Welge's Approach; 5.4.3 Examples: One-Dimensional Linear Waterflood at Constant Injection Rate
5.4.4 Integral Method Based on Mass Balance Principle5.5 APPLICATION OF BUCKLEY-LEVERETT SOLUTION; 5.5.1 Average Water Saturation; 5.5.2 Oil Recovery Calculation; 5.5.3 Pressure Profile Calculation; 5.5.4 Verification of Numerical Simulations; REFERENCES; 6 -- Extensions of Buckley-Leverett Theory; 6.1 INTRODUCTION; 6.2 BUCKLEY-LEVERETT FLOW IN A ONE-DIMENSIONAL RADIAL SYSTEM; 6.2.1 Buckley-Leverett Equation and Solution; 6.2.2 Welge's Approach; 6.2.3 Examples: Linear Waterflood in a One-Dimensional Radial System; 6.2.4 Integral Method Based on the Mass Balance Principle
6.3 BUCKLEY-LEVERETT FLOW IN A LINEAR COMPOSITE SYSTEM6.3.1 Mathematical Formulation and Solution; 6.3.2 Evaluation of Saturation Profiles in Composite Domains; 6.3.3 Examples: One-Dimensional Linear Waterflood in a Two-domain Composite System; 6.4 BUCKLEY-LEVERETT FLOW IN A RADIAL COMPOSITE SYSTEM; 6.4.1 Radial Composite Flow Model; 6.4.2 Evaluation of Saturation Profiles in Radial Composite Domains; 6.4.3 Examples: Waterflood in a Radial Composite System; 6.5 ANALYSIS AND VERIFICATION OF NUMERICAL SIMULATION; 6.5.1 Numerical Simulation in a One-Dimensional Radial System