Petroleum Reservoir Simulations: A Basic Approach

by Farouq Ali, S. M.; Ali, S. m. Farouq; Islam, M. Rafiq

• ISBN13: 9780976511366
• ISBN10: 0976511363
• Edition: CD
• Format: Hardcover
• Copyright: 2005-10-15
• Publisher: Elsevier Science Ltd

Summary

Book & CD. This is one of the best tools that the reservoir engineer has at his disposal, allowing the engineer and geologist to create the most efficient and cost effective plan possible for drilling and production. If your simulation is faulty, too general or inaccurate in any way, this can affect the production, cost and time spent at the site, which affects the bottom line. Any of these problems can happen when a simulation is generated from a program that is outdated, an unproven method or even a set of equations that use too much guesswork. This book offers a practical, real-world approach to solving reservoir simulation problems. As a reference for the engineer in the field, it offers a new approach using more mathematical models for the engineer to devise his or her own approach to a particular problem.

Author Biography

J.H. Abou-Kassem, PhD is a professor in the Department of Chemical and Petroleum Engineering at the United Arab Emirates University, Al-Ain, UAE S.M. Farouq Ali, PhD is Honorary Professor of oil and gas engineering at the University of Calgary M.R. Islan, PhD is a professor in the Department of Petroleum Engineering at Dalhousie University

Table of Contents

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