Reservoir Engineering Models: Analytical and Numerical Approaches
by: Turgay Ertekin, Luis F. Ayala
Abstract: Develop, build, and deploy accurate mathematical models for hydrocarbon reservoirs. This practical resource discusses the construction of reservoir models as well as their implementation in both forward and inverse modes using numerical, analytical, empirical, and artificial intelligence techniques. Written by a pair of experts in the field, Reservoir Engineering Models: Analytical and Numerical Approaches clearly explains the complicated building processes of mathematical models and lays out cutting-edge solution protocols. Advanced chapters teach the assembly of complex physical processes using principles of physics, thermodynamics, and mathematics. You will learn to optimize decision-making processes applicable to the management of field development and extraction activities. Coverage includes: • An introduction to the fundamentals of reservoir engineering • Background on mathematics and transport equations • Hydrocarbon fluid models and thermodynamics • Analytical and numerical reservoir engineering solutions • Proxy and hybrid models
Full details
Table of Contents
- A. Preface
- B. Acknowledgments
- C. Nomenclature
- 1. Introduction
- 2. Mathematics of Reservoir Engineering
- 3. Reservoir Engineering Fundamentals
- 4. Hydrocarbon Fluid Models and Thermodynamics
- 5. Reservoir Engineering Transport Equations
- 6. Analytical Reservoir Engineering Solutions
- 7. Numerical Reservoir Engineering Solutions
- 8. Proxy and Hybrid Models in Reservoir Engineering
Tools & Media
Expanded Table of Contents
- A. Preface
- B. Acknowledgments
- C. Nomenclature
- 1. Introduction
- 2. Mathematics of Reservoir Engineering
- 3. Reservoir Engineering Fundamentals
- CHAPTER PRELIMINARIES
- The Porous Medium as a Continuum
- The Fundamental Equations
- Fluid and Rock Compressibility Concepts
- Porosity and Porosity Distribution
- Permeability and Permeability Distributions
- The Flow Potential Concept
- Permeability as a Symmetric Tensor of a Second Rank
- Wettability and Interfacial Tension
- The Relative Permeability Concept
- Capillary Pressure in Porous Media
- Skin Factor and Wellbore Flow
- References
- 4. Hydrocarbon Fluid Models and Thermodynamics
- 5. Reservoir Engineering Transport Equations
- CHAPTER PRELIMINARIES
- Mass Conservation in Compositional Reservoir Engineering Models
- Incompressible Fluid (e.g., water) Flow Problem: Single-Phase (Np = 1), Single-Component (Nc = 1)
- Slightly-Compressible Fluid (e.g., oil flow): Single-Phase (Np = 1), Single-Component (Nc = 1)
- Compressible Fluid (e.g., dry gas) Flow Problem: Single-Phase (Np = 1), Single-Component (Nc = 1)
- Immiscible Liquid/Liquid (e.g., oil/water) Flow Problem: Two-Phase (Np = 2), Two-Component (Nc = 2)
- Standard Black-Oil Formulation for Oil/Gas Flow: Two-Phase (Np = 2), Two-Component (Nc = 2)
- Extended Black-Oil Formulation for Oil/Gas/Water Flow: Three-Phase (Np = 3), Three-Component (Nc = 3)
- References
- 6. Analytical Reservoir Engineering Solutions
- CHAPTER PRELIMINARIES
- Analytical Reservoir Solutions and Systems Analysis
- Classical Formulations and Hydraulic Diffusivity Concept
- Analytical Models in Well Test Analysis and Purpose of Well Testing
- Derivation of Classical 1-D Radial Cylindrical Flow Equation
- Liquid Flow Analytical Formulation
- Compressible Flow Analytical Formulations
- Dimensionless Groups and Dimensionless Form of the Governing Equations
- Reservoir Boundary Idealizations in Classical Analytical Solutions
- Analytical Solutions of the Dimensionless Formulation
- Important Well-Test Analysis Concepts
- Deviations from Idealized Behavior
- Basic Pressure Transient Data Analysis (PTA) Techniques
- Conformal Mapping Techniques
- References
- 7. Numerical Reservoir Engineering Solutions
- CHAPTER PRELIMINARIES
- Taylor Series and Numerical Schemes
- Finite-Volume Method Representations of Flow Equations
- FVM Representations of Single-Phase Flow Equations
- Newton–Raphson and Single-Phase Numerical Solutions
- FVM Representations of Multiphase Flow: Black-Oil Equations
- Solution of Black-Oil Multiphase Numerical Equations
- FVM Representations of Multiphase Flow: Compositional Equations
- Solution of Compositional Multiphase Numerical Equations
- References
- 8. Proxy and Hybrid Models in Reservoir Engineering
Book Details
Title: Reservoir Engineering Models: Analytical and Numerical Approaches
Publisher: McGraw-Hill Education: New York, Chicago, San Francisco, Athens, London, Madrid, Mexico City, Milan, New Delhi, Singapore, Sydney, Toronto
Copyright / Pub. Date: 2019 McGraw-Hill Education
ISBN: 9781259585630
Authors:
Turgay Ertekin
is Professor of Petroleum and Natural Gas Engineering and Head of the John and Willie Leone Family Department of Energy and Mineral Engineering at Pennsylvania State University. He has served as executive editor of SPE Formation Evaluation and an editor-in-chief of Journal of Petroleum Exploration and Production Technology.
Luis F. Ayala
is Professor of Petroleum and Natural Gas Engineering and Associate Department Head for Graduate Education in the John and Willie Leone Family Department of Energy and Mineral Engineering at Pennsylvania State University. He is an associate editor of SPE Reservoir Evaluation and Engineering and Journal of Natural Gas Science and Engineering.
Description: Develop, build, and deploy accurate mathematical models for hydrocarbon reservoirs. This practical resource discusses the construction of reservoir models as well as their implementation in both forward and inverse modes using numerical, analytical, empirical, and artificial intelligence techniques. Written by a pair of experts in the field, Reservoir Engineering Models: Analytical and Numerical Approaches clearly explains the complicated building processes of mathematical models and lays out cutting-edge solution protocols. Advanced chapters teach the assembly of complex physical processes using principles of physics, thermodynamics, and mathematics. You will learn to optimize decision-making processes applicable to the management of field development and extraction activities. Coverage includes: • An introduction to the fundamentals of reservoir engineering • Background on mathematics and transport equations • Hydrocarbon fluid models and thermodynamics • Analytical and numerical reservoir engineering solutions • Proxy and hybrid models
