Fundamentals of numerical reservoir simulation / / Donald W. Peaceman

• Record Nr.: UNINA9911006881303321
• Autore: Peaceman Donald W
• Pubbl/distr/stampa: Amsterdam ; ; New York, : Elsevier Scientific Pub. Co. : distributors for the U.S. and Canada, Elsevier North-Holland, 1977
• ISBN: 1-281-77239-9; 9786611772390; 0-08-086860-6
• Descrizione fisica: 1 online resource (191 p.)
• Collana: Developments in petroleum science ; ; 6
• Disciplina: 553.2820724; 622/.18/282
• Soggetti: Oil reservoir engineering - Mathematical models; Oil reservoir engineering - Data processing
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliography and index.
• Nota di contenuto: 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 VARIABLEThe 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 VARIABLEElliptic 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 solutionImplicit and semi-implicit mobilities; Numerical dispersion; Well rates; Nomenclature; REFERENCES; SUBJECT INDEX
• Sommario/riassunto: Fundamentals of Numerical Reservoir Simulation