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E-book
Author Peaceman, Donald W

Title Fundamentals of numerical reservoir simulation / Donald W. Peaceman
Published Amsterdam ; New York : Elsevier Scientific Pub. Co. : Distributors for the U.S. and Canada, Elsevier North-Holland, 1977

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Description 1 online resource (xiii, 176 pages) : illustrations, digital, HTML and PDF files
Series Developments in petroleum science ; 6
Developments in petroleum science ; 6.
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
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
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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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Subject Oil reservoir engineering -- Mathematical models
Oil reservoir engineering -- Data processing
TECHNOLOGY & ENGINEERING -- Petroleum.
Oil reservoir engineering -- Data processing
Oil reservoir engineering -- Mathematical models
Form Electronic book
ISBN 9780080868608
0080868606