Petroleum Reservoir Simulations: A Basic

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 Any of these problems can happen when a simulation is generated from a program that is outdated, an unproven method or even a set of equations that use too much guesswork.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.

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

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

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Petroleum Reservoir Simulations: A Basic Approach

Summary

Author Biography

Table of Contents

Supplemental Materials