Description |
1 online resource (xiii, 176 pages) : illustrations, digital, HTML and PDF files |
Series |
Developments in petroleum science ; 6 |
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Developments in petroleum science ; 6.
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Contents |
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 |
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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 |
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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 |
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Sequential numerical solutionImplicit and semi-implicit mobilities; Numerical dispersion; Well rates; Nomenclature; REFERENCES; SUBJECT INDEX |
Summary |
Fundamentals of Numerical Reservoir Simulation |
Bibliography |
Includes bibliographical references (pages 169-171) and index |
Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
Subject |
Oil reservoir engineering -- Mathematical models
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Oil reservoir engineering -- Data processing
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TECHNOLOGY & ENGINEERING -- Petroleum.
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Oil reservoir engineering -- Data processing
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Oil reservoir engineering -- Mathematical models
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Form |
Electronic book
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ISBN |
9780080868608 |
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0080868606 |
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