| Description |
1 online resource |
| Contents |
Machine generated contents note: 1.Introduction -- 1.1.Background -- 1.2.Milestones for the engineering approach -- 1.3.Importance of the engineering and mathematical approaches -- 1.4.Summary -- 1.5.Exercises -- 2.Single-phase fluid flow equations in multidimensional domain -- 2.1.Introduction -- 2.2.Properties of single-phase fluid -- 2.3.Properties of porous media -- 2.4.Reservoir discretization -- 2.5.Basic engineering concepts -- 2.6.Multidimensional flow in Cartesian coordinates -- 2.6.1.Block identification and block ordering -- 2.6.2.Derivation of the one-dimensional flow equation in Cartesian coordinates -- 2.6.3.Approximation of time integrals -- 2.6.4.Flow equations in multidimensions using engineering notation -- 2.7.Multidimensional flow in radial-cylindrical coordinates -- 2.7.1.Reservoir discretization for single-well simulation -- 2.7.2.Derivation of the multidimensional flow equation in radial-cylindrical coordinates -- 2.7.3.Approximation of time integrals -- 2.8.Summary -- 2.9.Exercises -- 3.Flow equations using CVFD terminology -- 3.1.Introduction -- 3.2.Flow equations using CVFD terminology -- 3.2.1.Flow equations using CVFD terminology and engineering notation -- 3.2.2.Flow equations using CVFD terminology and the natural ordering scheme -- 3.3.Flow equations in radial-cylindrical coordinates using CVFD terminology -- 3.4.Flow equations using CVFD terminology in any block ordering scheme -- 3.5.Summary -- 3.6.Exercises -- 4.Simulation with a block-centered grid -- 4.1.Introduction -- 4.2.Reservoir discretization -- 4.3.Flow equation for boundary gridblocks -- 4.4.Treatment of boundary conditions -- 4.4.1.Specified pressure gradient boundary condition -- 4.4.2.Specified flow rate boundary condition -- 4.4.3.No-flow boundary condition -- 4.4.4.Specified boundary pressure condition -- 4.4.5.Specified boundary block pressure -- 4.5.Calculation of transmissibilities -- 4.6.Symmetry and its use in solving practical problems -- 4.7.Summary -- 4.8.Exercises -- 5.Simulation with a point-distributed grid -- 5.1.Introduction -- 5.2.Reservoir discretization -- 5.3.Flow equation for boundary gridpoints -- 5.4.Treatment of boundary conditions -- 5.4.1.Specified pressure gradient boundary condition -- 5.4.2.Specified flow rate boundary condition -- 5.4.3.No-flow boundary condition -- 5.4.4.Specified boundary pressure condition -- 5.4.5.Specified boundary gridpoint pressure -- 5.5.Calculation of transmissibilities -- 5.6.Symmetry and its use in solving practical problems -- 5.7.Summary -- 5.8.Exercises -- 6.Well representation in simulators -- 6.1.Introduction -- 6.2.Single-block wells -- 6.2.1.Treatment of wells in 1-D linear flow -- 6.2.2.Treatment of wells in 1-D radial flow -- 6.2.3.Treatment of wells in 2-D areal flow -- 6.3.Multiblock wells -- 6.3.1.Vertical effects (flow within wellbore) -- 6.3.2.Wellblock contribution to well rate -- 6.3.3.Estimation of the wellblock geometric factor -- 6.3.4.Estimation of well rate and FBHP -- 6.4.Practical considerations dealing with modeling well operating conditions -- 6.5.Summary -- 6.6.Exercises -- 7.Single-phase flow equation for various fluids -- 7.1.Introduction -- 7.2.Pressure dependence of fluid and rock properties -- 7.2.1.Incompressible fluid -- 7.2.2.Slightly compressible fluid -- 7.2.3.Compressible fluid -- 7.2.4.Rock porosity -- 7.3.General single-phase flow equation in multidimensions -- 7.3.1.Incompressible fluid flow equation -- 7.3.2.Slightly compressible fluid flow equation -- 7.3.3.Compressible fluid flow equation -- 7.4.Summary -- 7.5.Exercises -- 8.Linearization of flow equations -- 8.1.Introduction -- 8.2.Nonlinear terms in flow equations -- 8.3.Nonlinearity of flow equations for various fluids -- 8.3.1.Linearity of the incompressible fluid flow equation -- 8.3.2.Nonlinearity of the slightly compressible fluid flow equation -- 8.3.3.Nonlinearity of the compressible fluid flow equation -- 8.4.Linearization of nonlinear terms -- 8.4.1.Linearization of transmissibilities -- 8.4.2.Linearization of well rates -- 8.4.3.Linearization of fictitious well rates -- 8.4.4.Linearization of coefficients in accumulation term -- 8.5.Linearized flow equations in time -- 8.5.1.Explicit transmissibility method -- 8.5.2.Simple iteration on transmissibility method -- 8.5.3.Fully implicit (Newton's iteration) method -- 8.6.Summary -- 8.7.Exercises -- 9.Methods of solution of linear equations -- 9.1.Introduction -- 9.2.Direct solution methods -- 9.2.1.1-D rectangular or radial flow problems (Thomas' algorithm) -- 9.2.2.1-D tangential flow problem (Tang's algorithm) -- 9.2.3.2-D and 3-D flow problems (sparse matrices) -- 9.3.Iterative solution methods -- 9.3.1.Point iterative methods -- 9.3.2.Line and block SOR methods -- 9.3.3.Alternating-direction implicit procedure -- 9.3.4.Advanced iterative methods -- 9.4.Summary -- 9.5.Exercises -- 10.The engineering approach versus the mathematical approach in developing reservoir simulators -- 10.1.Introduction -- 10.2.Derivation of fluid flow equations in discretized form -- 10.2.1.Basic principles -- 10.2.2.Reservoir discretization -- 10.2.3.The mathematical approach -- 10.2.4.The engineering approach -- 10.3.Treatment of initial and boundary conditions -- 10.3.1.Specified boundary pressure condition -- 10.3.2.Specified boundary pressure-gradient condition -- 10.3.3.Specified flow rate condition -- 10.4.Linearization of well flow rates -- 10.4.1.The mathematical approach -- 10.4.2.The engineering approach -- 10.5.Summary -- 11.Introduction to modeling multiphase flow in petroleum reservoirs -- 11.1.Introduction -- 11.2.Reservoir engineering concepts in multiphase flow -- 11.2.1.Fluid properties -- 11.2.2.Relative permeability -- 11.2.3.Capillary pressure -- 11.2.4.Darcy's law in multiphase flow -- 11.3.Multiphase flow models -- 11.3.1.Flow equations for oil/water flow model -- 11.3.2.Flow equations for gas/water flow model -- 11.3.3.Flow equations for oil/gas flow model -- 11.3.4.Flow equations for black-oil model -- 11.4.Solution of multiphase flow equations -- 11.4.1.Expansion of accumulation terms -- 11.4.2.Well rate terms -- 11.4.3.Treatment of boundary conditions -- 11.4.4.Treatment of nonlinearities -- 11.4.5.Solution methods -- 11.5.Material balance checks -- 11.6.Advancing solution in time -- 11.7.Summary -- 11.8.Exercises |
| Summary |
Petroleum Reservoir Simulation, Second Edition, introduces this novel engineering approach for petroleum reservoir modeling and operations simulations. Updated with new exercises, a new glossary and a new chapter on how to create the data to run a simulation, this comprehensive reference presents step-by-step numerical procedures in an easy to understand format. Packed with practical examples and guidelines, this updated edition continues to deliver an essential tool for all petroleum and reservoir engineers |
| Notes |
<p>1. Introduction 2. Single-Phase Fluid Flow Equations in Multidimensional Domain 3. Flow Equations Using CVFD Terminology 4. Simulation with a Block-Centered Grid 5. Simulation with a Point-Distributed Grid 6. Well Representation in Simulators 7. Single-Phase Flow Equation for Various Fluids 8. Linearization of Flow Equations 9. Methods of Solution of Linear Equations 10. Introduction to Modeling Multiphase Flow in Petroleum Reservoirs 11. Practical guidelines for a model developer and user 12. Decision Tree</p> <p>Appendix A User's Manual for Single-Phase Simulator A.1 Introduction A.2 Data File Preparation A.3 Description of Variables Used in Preparing a Data File A.4 Instructions to Run Simulator A.5 Limitations Imposed on the Compiled Version A.6 Example of a Prepared Data</p> |
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Description based on CIP data; resource not viewed |
| Subject |
Petroleum reserves -- Computer simulation
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| Form |
Electronic book
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| Author |
Abou-Kassem, Jamal H. (Jamal Hussein), author.
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Farouq-Ali, S. M., author
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| ISBN |
0128191511 |
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9780128191507 |
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0128191503 |
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9780128191514 |
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