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Jan Dirk Jansen - Nodal Analysis of Oil and Gas Production Systems: Textbook 15

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Jan Dirk Jansen Nodal Analysis of Oil and Gas Production Systems: Textbook 15
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Nodal Analysis of Oil and Gas Production Systems provides a modern view on the use of nodal analysis techniques to optimize the production from oil and gas wells. It covers multiphase flow through flow lines, wells, chokes and the near-well reservoir. It teaches the development of mathematical models for those system elements, and how to implement these in computer code. It explains the underlying physics, starting from first principles whenever possible, and reverting to empirical correlations whenever necessary. It covers the essential concepts in nodal analysis of a well system and aims at providing the readers with enough knowledge to use commercial nodal analysis software for more complex systems, explore the literature in this field, and expand their knowledge.

This book is based on material used in a three-month course for first-year graduate students in the Petroleum Engineering MSc program at Delft University of Technology (TU Delft). This course aims at providing skills in the development and use of mathematical and computer models for flow through the various parts of an oil and gas production system. The underlying idea is that a basic understanding of the numerical implementation of theoretical concepts should be an important element in the education of all engineering students, even though only a few of them will become tool developers and most of them will just use software tools whose inner workings are hidden behind slick user interfaces. Although the book is primarily intended for classroom use, it may also be of value for practicing engineers or researchers who want to get acquainted with the essentials of nodal analysis or learn more about the underlying theory.* Prerequisites are a basic understanding of physical transport phenomena; calculus, including first-order differential equations; and preferably an acquaintance with hydrocarbon properties and oil and gas well completions.

Questions and exercises are provided at the end of each chapter. Some of those involve computations that can be performed by hand with a calculator, while others require the use of a computer to run the matlab routines that accompany the book. matlab questions and assignments form an important ingredient of the course, and a basic level in computer programming will therefore be of help to benefit maximally from the book. Hand

calculations are primarily seen as a means to obtain quick order-of-magnitude estimates or to verify the results of computer simulations. However, the theory is presented in the book to be understandable without the reader going through the matlab exercises. Worked-out answers to all questions are provided in Appendix G. An early version of this book was based on material written by prof. Peter K. Currie. Since I took over his course in 2001, the text has gradually been rewritten and expanded. During Spring 2011 I revised major parts while teaching a similar course at Stanford University.

Very little of the theory described in the text is new, and I acknowledge the contributions of all those who have pioneered the field of nodal analysis and the underlying models for the various production system elements. I have tried to refer to the original sources as far as I am aware of them. Moreover, I acknowledge the contribution of many students and teaching assistants at TU Delft and Stanford who helped to spot errors, inconsistencies, or material that was unclear, both in the text and in the accompanying matlab code. No doubt there is still room for further improvement. If you find errors, note missing references, or have other comments, please let me know at j.d.jansen@tudelft.nl.

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Table of Contents
Nodal Analysis of Oil and Gas Production Systems Nodal Analysis of Oil and - photo 1
Nodal Analysis of Oil and Gas Production Systems
Nodal Analysis of Oil and Gas Production Systems
Jan Dirk Jansen
The MATLAB software accompanying the book can be downloaded from www.tudelft.nl/nodal
Society of Petroleum Engineers
Copyright 2017 Society of Petroleum Engineers
All rights reserved. No portion of this book may be reproduced in any form or by any means, including electronic storage and retrieval systems, except by explicit, prior written permission of the publisher except for brief passages excerpted for review and critical purposes.
Printed in the United States of America.
Disclaimer
This book was prepared by members of the Society of Petroleum Engineers and their well-qualified colleagues from material published in the recognized technical literature and from their own individual experience and expertise. While the material presented is believed to be based on sound technical knowledge, neither the Society of Petroleum Engineers nor any of the authors or editors herein provide a warranty either expressed or implied in its application. Correspondingly, the discussion of materials, methods, or techniques that may be covered by letters patents implies no freedom to use such materials, methods, or techniques without permission through appropriate licensing. Nothing described within this book should be construed to lessen the need to apply sound engineering judgment nor to carefully apply accepted engineering practices in the design, implementation, or application of the techniques described herein.
ISBN 978-1-61399-564-8
First Printing 2017
Society of Petroleum Engineers
222 Palisades Creek Drive
Richardson, TX 75080-2040 USA
http://www.spe.org/store
1.972-952.9393
Preface
This book is based on material used in a three-month course for first-year graduate students in the Petroleum Engineering MSc program at Delft University of Technology (TU Delft). This course aims at providing skills in the development and use of mathematical and computer models for flow through the various parts of an oil and gas production system. The underlying idea is that a basic understanding of the numerical implementation of theoretical concepts should be an important element in the education of all engineering students, even though only a few of them will become tool developers and most of them will just use software tools whose inner workings are hidden behind slick user interfaces.
Although the book is primarily intended for classroom use, it may also be of value for practicing engineers or researchers who want to get acquainted with the essentials of nodal analysis or learn more about the underlying theory. Prerequisites are a basic understanding of physical transport phenomena; calculus, including first-order differential equations; and preferably an acquaintance with hydrocarbon properties and oil and gas well completions.
Questions and exercises are provided at the end of each chapter. Some of those involve computations that can be performed by hand with a calculator, while others require the use of a computer to run the MATLAB routines that accompany the book. MATLAB questions and assignments form an important ingredient of the course, and a basic level in computer programming will therefore be of help to benefit maximally from the book. Hand calculations are primarily seen as a means to obtain quick order-of-magnitude estimates or to verify the results of computer simulations. However, the theory is presented in the book to be understandable without the reader going through the MATLAB exercises. Worked-out answers to all questions are provided in .
An early version of this book was based on material written by prof. Peter K. Currie. Since I took over his course in 2001, the text has gradually been rewritten and expanded. During Spring 2011 I revised major parts while teaching a similar course at Stanford University. Very little of the theory described in the text is new, and I acknowledge the contributions of all those who have pioneered the field of nodal analysis and the underlying models for the various production system elements. I have tried to refer to the original sources as far as I am aware of them. Moreover, I acknowledge the contribution of many students and teaching assistants at TU Delft and Stanford who helped to spot errors, inconsistencies, or material that was unclear, both in the text and in the accompanying MATLAB code. No doubt there is still room for further improvement. If you find errors, note missing references, or have other comments, please let me know at j.d.jansen@tudelft.nl.
JDJ, Delft, July 2017.
, which gives an overview of the most common nodal analysis applications.
Contents
Chapter 1
Introduction
1.1 What Is Covered in This Chapter?
This introductory chapter is meant to clarify the scope and objectives of the book, give a brief overview of the field of production engineering and the relevant hardware, describe the basic concepts used in oil and gas production system modeling, and introduce the method of nodal analysis.
1.2 About This Book
1.2.1 Objectives. Oil and gas wells are essential elements of oil and gas production systems. A production system can be roughly defined as the equipment required to produce hydrocarbons from a subsurface reservoir to the point of sale. The activities related to the conceptual design and the operation of a production system are collectively referred to as production engineering. An important element of production engineering is the quantification of pressures, temperatures, and flow rates inside the production system for various operating conditions, an activity that usually requires some mathematical model of the system, either in the form of written equations or implemented in a computer program. A particular form of modeling, known as nodal analysis, describes the system as a collection of separate elements with distinct flow properties (Brown 1984; Brown and Lea 1985; Beggs 1991) and builds on theory developed in the classic paper of Gilbert (1954). (Note that literature references are listed alphabetically in the References section of this book.) Nodal analysis has proven to be an effective tool for analyzing production system performance, and forms the basis of several commercial and proprietary software packages.
The objectives of this book are:
To provide an understanding of the concepts used in computer models for the nodal analysis of flow through a production system. This includes understanding the physics, capturing the essential physics in the form of mathematical expressions, and coding these in a computer model.
To provide basic skills in using a production system computer model to perform production engineering calculations. This concerns, in particular, generating predictions of pressures and flow rates and using them to optimize the design of the production system.
. There, rather than cover the vast range of available models and correlations, the book describes just a few typical models, not necessarily the most accurate ones, to explain the underlying concepts. Understanding the essential concepts in nodal analysis of a well system should provide the readers with enough knowledge to use commercial nodal analysis software for more complex systems, explore the literature in this field, and expand their knowledge as required. Moreover, the scope of this book does not include a detailed description of hardware components. Several other books are available for this purpose, such as Bellarby (2009); various chapters in the
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