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Quantitative Methods in Reservoir Engineering
Quantitative Methods in Reservoir Engineering, Second Edition, brings together the critical aspects of the industry to create more accurate models and better financial forecasts for oil and gas assets. Updated to cover more practical applications related to intelligent infill drilling, optimized well pattern arrangement, water flooding with modern wells, and multiphase flow, this new edition helps reservoir engineers better lay the mathematical foundations for analytical or semi-analytical methods in today's more difficult reservoir engineering applications. Authored by a worldwide expert on computational flow modeling, this reference integrates current mathematical methods to aid in understanding more complex well systems and ultimately guides the engineer to choose the most profitable well path. The book delivers a valuable tool that will keep reservoir engineers up-to-speed in this fast-paced sector of the oil and gas market.
Front Cover; Quantitative Methods in Reservoir Engineering; Copyright; Contents; About the Author; Acknowledgments; Preface; Chapter 1: Motivating Ideas and Governing Equations; Examples of Incorrect Formulations; Velocity Singularities; Fracture Flows; Uniform Flux Fractures; Mudcake Buildup; Geometric Gridding; Averaging Methods; Upscaling Techniques; Wells in Layered Media; Wellbore Models; Formation Tester Multiphase Flow; Formation Tester Pressure Transient Interpretation; Sweep Efficiency and Streamline Tracing; Book Objectives Recapitulated; Darcy's Equations for Flow in Porous Media.
Differential Equations and Boundary ConditionsDarcy's Laws; Logarithmic Solutions and Beyond; Fundamental Aerodynamic Analogies; Navier-Stokes Equations; The Darcy Flow Limit; The Aerodynamic Limit; Validity of Laplace's Equation; Different Physical Interpretations; Meaning of Multivalued Solutions; Analogies From Inverse Formulations; Problems and Exercises; Chapter 2: Fracture Flow Analysis; Example 2.1. Single Straight-Line Fracture in an Isotropic Circular Reservoir Containing Incompressible Fluid; Formulation; Singular Integral Equation Analysis.
Specializing Carleman's Results to Fracture FlowPhysical Meaning of f(x); Remark on Muskat's Solution; Velocity Singularities at Fracture Tips; Streamline Orientation; Example 2.2. Line Fracture in an Anisotropic Reservoir With Incompressible Liquids and Compressible Gases; General Formulation; Singular Integral Equation Analysis; The Physical Meaning of f(x); Velocity Singularities at Fracture Tips; Example 2.3. Effect of Nonzero Fracture Thickness; Practical Algebraic Issues; Example 2.4. Flow Rate Boundary Conditions; Example 2.5. Uniform Vertical Velocity Along the Fracture.
Evaluation of Singular IntegralsExample 2.6. Uniform Pressure Along the Fracture; Example 2.7. More General Fracture Pressure Distributions; Example 2.8. Velocity Conditions for Gas Flows; Example 2.9. Determining Velocity Fields; Problems and Exercises; Chapter 3: Flows Past Shaly Bodies; Example 3.1. Straight-Line Shale Segment in Uniform Flow; Qualitative Problem Formulation; The Arc Tan Solution; The Elementary Vortex Solution; Mathematical Formulation; Singular Integral Equation Solution; Integral Equation Solution; Applying the Results; Physical Significance of Vortex Strength.
Example 3.2. Curved Shale Segment in Uniform FlowRole of Circulation in Other Problems; Example 3.3. Mineralized Faults, Anisotropy, and Gas Flow; Problems and Exercises; Chapter 4: Streamline Tracing and Complex Variables; Discussion 4.1. The Classical Streamfunction; Properties of the ``Simple ́́Streamfunction; Discussion 4.2. Streamfunction for General Fluids in Heterogeneous and Anisotropic Formations; Discussion 4.3. Subtle Differences Between Pressure and Streamfunction Formulations; More Streamfunction Properties; The Classic Streamline Tracing Problem; The Vortex Solution.
Discussion 4.4. Streamline Tracing in the Presence of Multiple Wells.
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