LEADER 03720nam 2200613Ia 450 001 9911006881303321 005 20200520144314.0 010 $a1-281-77239-9 010 $a9786611772390 010 $a0-08-086860-6 035 $a(CKB)1000000000553526 035 $a(EBL)404341 035 $a(OCoLC)274069905 035 $a(SSID)ssj0000072035 035 $a(PQKBManifestationID)11123327 035 $a(PQKBTitleCode)TC0000072035 035 $a(PQKBWorkID)10091452 035 $a(PQKB)11529865 035 $a(MiAaPQ)EBC404341 035 $a(EXLCZ)991000000000553526 100 $a19870209d1977 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFundamentals of numerical reservoir simulation /$fDonald W. Peaceman 210 $aAmsterdam ;$aNew York $cElsevier Scientific Pub. Co. : distributors for the U.S. and Canada, Elsevier North-Holland$d1977 215 $a1 online resource (191 p.) 225 1 $aDevelopments in petroleum science ;$v6 300 $aDescription based upon print version of record. 311 $a0-444-41578-5 320 $aIncludes bibliography and index. 327 $aFront 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 327 $aCHAPTER 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 327 $aCHAPTER 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 327 $aSequential numerical solutionImplicit and semi-implicit mobilities; Numerical dispersion; Well rates; Nomenclature; REFERENCES; SUBJECT INDEX 330 $aFundamentals of Numerical Reservoir Simulation 410 0$aDevelopments in petroleum science ;$v6. 606 $aOil reservoir engineering$xMathematical models 606 $aOil reservoir engineering$xData processing 615 0$aOil reservoir engineering$xMathematical models. 615 0$aOil reservoir engineering$xData processing. 676 $a553.2820724 676 $a622/.18/282 676 $a553.2820724 700 $aPeaceman$b Donald W$012410 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911006881303321 996 $aFundamentals of numerical reservoir simulation$981094 997 $aUNINA