Preface |
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xi | |
Introduction |
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xv | |
Nomenclature |
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xvii | |
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1 | (6) |
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1 | (1) |
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Milestones for the Engineering Approach |
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2 | (2) |
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Importance of the Engineering and Mathematical Approaches |
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4 | (1) |
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5 | (1) |
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5 | (2) |
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Single-Phase Fluid Flow Equations in Multidimensional Domain |
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7 | (36) |
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7 | (1) |
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Properties of Single-Phase Fluid |
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7 | (1) |
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Properties of Porous Media |
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8 | (1) |
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8 | (1) |
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Basic Engineering Concepts |
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9 | (2) |
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Multidimensional Flow in Cartesian Coordinates |
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11 | (17) |
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Multidimensional Flow in Radial-Cylindrical Coordinates |
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28 | (8) |
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36 | (1) |
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36 | (7) |
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Flow Equations Using CVFD Terminology |
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43 | (20) |
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43 | (1) |
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Flow Equations Using CVFD Terminology |
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43 | (11) |
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Flow Equations in Radial-Cylindrical Coordinates Using CVFD Terminology |
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54 | (3) |
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Flow Equations Using CVFD Terminology in any Block Ordering Scheme |
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57 | (1) |
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58 | (1) |
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58 | (5) |
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Simulation with a Block-Centered Grid |
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63 | (60) |
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63 | (1) |
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63 | (3) |
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Flow Equation for Boundary Gridblocks |
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66 | (7) |
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Treatment of Boundary Conditions |
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73 | (14) |
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Calculation of Transmissibilities |
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87 | (23) |
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Symmetry and Its Use in Solving Practical Problems |
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110 | (5) |
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115 | (2) |
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117 | (6) |
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Simulation with a Point-Distributed Grid |
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123 | (58) |
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123 | (1) |
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123 | (3) |
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Flow Equation for Boundary Gridpoints |
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126 | (9) |
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Treatment of Boundary Conditions |
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135 | (17) |
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Calculation of Transmissibilities |
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152 | (17) |
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Symmetry and Its Use in Solving Practical Problems |
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169 | (4) |
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173 | (2) |
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175 | (6) |
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Well Representation in Simulators |
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181 | (26) |
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181 | (1) |
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181 | (11) |
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192 | (11) |
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Practical Considerations Dealing with Modeling Well Operating Conditions |
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203 | (1) |
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204 | (1) |
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204 | (3) |
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Single-Phase Flow Equation for Various Fluids |
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207 | (76) |
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207 | (1) |
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Pressure Dependence of Fluid and Rock Properties |
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207 | (2) |
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General Single-Phase Flow Equation in Multi Dimensions |
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209 | (67) |
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276 | (1) |
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276 | (7) |
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Linearization of Flow Equations |
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283 | (42) |
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283 | (1) |
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Nonlinear Terms in Flow Equations |
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283 | (1) |
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Nonlinearity of Flow Equations For Various Fluids |
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284 | (4) |
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Linearization of Nonlinear Terms |
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288 | (5) |
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Linearized Flow Equations in Time |
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293 | (26) |
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319 | (2) |
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321 | (4) |
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Methods of Solution of Linear Equations |
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325 | (40) |
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325 | (1) |
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325 | (12) |
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Iterative Solution Methods |
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337 | (24) |
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361 | (1) |
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361 | (4) |
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Introduction to Modeling Multiphase Flow in Petroleum Reservoirs |
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365 | (56) |
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365 | (1) |
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Reservoir Engineering Concepts in Multiphase Flow |
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365 | (10) |
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375 | (18) |
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Solution of Multiphase Flow Equations |
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393 | (21) |
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414 | (1) |
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Advancing Solution in Time |
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414 | (2) |
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416 | (1) |
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416 | (5) |
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A. User's Manual for Single-Phase Simulator |
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421 | (12) |
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421 | (1) |
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421 | (2) |
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Description of Variables Used in Preparing a Data File |
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423 | (7) |
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Instructions to Run Simulator |
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430 | (1) |
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Limitations Imposed on the Compiled Version |
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430 | (1) |
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Example of a Prepared Data File |
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431 | (2) |
References |
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433 | (4) |
Author Index |
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437 | (2) |
Subject Index |
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439 | |