Fundamentals of numerical reservoir simulation

Fundamentals of Numerical Reservoir Simulation.

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Bibliographic Details
Main Author Peaceman, Donald W. 1926-
Format Electronic eBook
LanguageEnglish
Published Amsterdam ; New York : Elsevier Scientific Pub. Co. : Distributors for the U.S. and Canada, Elsevier North-Holland, 1977.
SeriesDevelopments in petroleum science ; 6.
Subjects
Oil reservoir engineering > Mathematical models.
Oil reservoir engineering > Data processing.
elektronické knihy
electronic books
Online AccessFull text
ISBN9780080868608
0080868606
0444415785
9780444415783
0444416250
9780444416254
Physical Description1 online resource (xiii, 176 pages) : illustrations, digital, HTML and PDF files

Cover

Table of 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

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