Fundamentals of numerical reservoir simulation / Donald W. Peaceman.

Format:

Book

Author/Creator:

Peaceman, Donald W.

Series:

Developments in petroleum science ; 6.

Developments in petroleum science ; 6

Language:

English

Subjects (All):

Oil reservoir engineering--Mathematical models.

Oil reservoir engineering.

Oil reservoir engineering--Data processing.

Physical Description:

1 online resource (191 p.)

Place of Publication:

Amsterdam ; New York : Elsevier Scientific Pub. Co. : distributors for the U.S. and Canada, Elsevier North-Holland, 1977.

Language Note:

English

Summary:

Fundamentals of Numerical Reservoir Simulation

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

Notes:

Description based upon print version of record.

Includes bibliography and index.

ISBN:

1-281-77239-9

9786611772390

0-08-086860-6

OCLC:

274069905