Fundamentals of Numerical Reservoir Simulation
Published on 14. May 2014
191 pages
978-0-08-086860-8 (ISBN)
Description
The use of numerical reservoir simulation with high-speed electronic computers has gained wide acceptance throughout the petroleum industry for making engineering studies of a wide variety of oil and gas reservoirs throughout the world. These reservoir simulators have been designed for use by reservoir engineers who possess little or no background in the numerical mathematics upon which they are based. In spite of the efforts to improve numerical methods to make reservoir simulators as reliable, efficient, and automatic as possible, the user of a simulator is faced with a myriad of decisions that have nothing to do with the problem to be solved. This book combines a review of some basic reservoir mechanics with the derivation of the differential equations that reservoir simulators are designed to solve.
More details
Series
Language
English
Place of publication
Amsterdam
Netherlands
Product notice
Windows
ISBN-13
978-0-08-086860-8 (9780080868608)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
D.W. Peaceman
Fundamentals of Numerical Reservoir Simulation: Volume 6
Book
04/2000
Elsevier
€129.99
Article exhausted; check different version
Content
- Front Cover
- Fundamentals of Numerical Reservoir Simulation
- Copyright Page
- CONTENTS
- PREFACE
- CHAPTER 1. DIFFERENTIAL EQUATIONS FOR FLOW IN RESERVOIRS
- Introduction
- Single-phase flow
- Types of second-order differential equations
- Two-phase flow
- Three-phase flow
- Flow with change of phase
- The black-oil model
- Limited compositional model
- Summary
- Nomenclature
- CHAPTER 2. ELEMENTARY FINITE DIFFERENCES
- Introduction
- First-difference quotients
- Second-difference quotients
- Grid systems
- Truncation error
- Nomenclature
- CHAPTER 3. NUMERICAL SOLUTION OF PARABOLIC PROBLEMS IN ONE DEPENDENT VARIABLE
- The forward-difference equation
- Stability by harmonic analysis (the von Neumann criterion)
- Implicit difference equations
- Other explicit difference equations
- Multidimensional problems
- Alternating-direction methods
- Nomenclature
- CHAPTER 4. NUMERICAL SOLUTION OF FIRST-ORDER HYPERBOLIC PROBLEMS IN ONE DEPENDENT VARIABLE
- Introduction
- Difference equations
- Stability
- Truncation error analysis-numerical dispersion
- Example calculations
- Summary
- Nomenclature
- CHAPTER 5. NUMERICAL SOLUTION OF ELLIPTIC PROBLEMS IN ONE DEPENDENT VARIABLE
- Elliptic difference equations
- Direct solution of band matrix equations by factorization
- Application of band algorithm t o two-dimensional problems
- Iterative methods for solving elliptic problems
- Point relaxation methods
- Line relaxation methods
- Alternating-direction iteration (A.D.I.)
- Strongly implicit procedure (S.I.P.)
- Summary
- Nomenclature
- CHAPTER 6. NUMERICAL SOLUTION OF TWO-PHASE FLOW PROBLEMS
- Introduction
- Differential equations
- Difference notation
- Simultaneous numerical solution
- Sequential numerical solution
- Implicit and semi-implicit mobilities
- Numerical dispersion
- Well rates
- Nomenclature
- REFERENCES
- SUBJECT INDEX
