Stanford University Theory of Gas Injection Processes Franklin M. Orr Jr. This book is intended for graduate students, researchers, and reservoir engineers who want to understand the mathematical description of the chromatographic mechanisms that are the basis for gas injection processes for enhanced oil recovery. Readers familiar with the calculus of partial derivatives and properties of matrices (including eigenvalues and eigenvectors) should have no trouble following the mathematical development of the material presented.. Cũng như các giáo án bài giảng khác được bạn đọc chia sẽ hoặc do sưu tầm lại và chia sẽ lại cho các bạn với mục đích nâng cao trí thức , chúng tôi không thu tiền từ bạn đọc ,nếu phát hiện nội dung phi phạm bản quyền hoặc vi phạm pháp luật xin thông báo cho chúng tôi,Ngoài tài liệu này, bạn có thể tải tiểu luận miễn phí phục vụ học tập Vài tài liệu download mất font không hiển thị đúng, nguyên nhân máy tính bạn không hỗ trợ font củ, bạn tải các font .vntime củ về cài sẽ xem được.
Theory of Gas Injection Processes
Franklin M. Orr, Jr. Stanford University Stanford, California 2005
Library of Congress Cataloging-in-Publication Data
Orr, Franklin M., Jr.
Theory of Gas Injection Processes / Franklin M. Orr, Jr. Bibliography: p.
Includes index. ISBN xxxxxxxxxxx
1. Enhanced recovery of oil. I. Title. XXXXX XXXXX
2005 Franklin M. Orr, Jr.
All rights reserved. No part of this book may be reproduced, in any form or by an means, without permission in writing from the author.
This book is intended for graduate students, researchers, and reservoir engineers who want to understand the mathematical description of the chromatographic mechanisms that are the basis for gas injection processes for enhanced oil recovery. Readers familiar with the calculus of partial derivatives and properties of matrices (including eigenvalues and eigenvectors) should have no trouble following the mathematical development of the material presented. The emphasis here is on the understanding of physical mechanisms, and hence the primary audience for this book will be engineers. Nevertheless, the mathematical approach used, the method of characteristics, is an essential part of the understanding of those physical mechanisms, and therefore some eﬀort is expended to illuminate the mathematical structure of the ﬂow problems considered. In addition, I hope some of the material will be of interest to mathematicians who will ﬁnd that many interesting questions of mathematical rigor remain to be investigated for multicomponent, multiphase ﬂow in porous media.
Readers already familiar with the subject of this book will recognize the work of many students and colleagues with whom I have been privileged to work in the last twenty-ﬁve years. I am much indebted to Fred Helﬀerich (now at the Pennsylvania State University) and George Hirasaki (now at Rice University), working then (in the middle 1970’s) at Shell Development Company’s Bellaire Research Center. They originated much of the theory developed here and introduced me to the ideas of multicomponent, multiphase chromatography when I was a brand new research engineer at that laboratory. Gary Pope and Larry Lake were also part of that Shell group of future academics who have made extensive use of the theoretical approach used here in their work with students at the University of Texas. I have beneﬁted greatly from many conversations with them over the years about the material discussed here. Thormod Johansen patiently explained to me his mathematician’s point of view concerning the Riemann problems considered in detail in this book. All of them have contributed substantially to the development of a rigorous description of multiphase, multicomponent ﬂow and to my education about it in particular.
Thanks are also due to many Stanford students, who listened to and helped me reﬁne the ex-planations given here in a course taught for graduate students since 1985. Their questions over the years have led to many improvements in the presentation of the important ideas. Much of the ma-terial in this book that describes ﬂow of gas/oil mixtures follows from the work of an exceptionally talented group of graduate students: Wes Monroe, Kiran Pande, Jeﬀ Wingard, Russ Johns, Birol Dindoruk, Yun Wang, Kristian Jessen, Jichun Zhu, and Pavel Ermakov. Wes Monroe obtained the ﬁrst four-component solutions for dispersion-free ﬂow in one dimension. Kiran Pande solved for the interactions of phase behavior, two-phase ﬂow, and viscous crossﬂow. Jeﬀ Wingard considered problems with temperature variation and three-phase ﬂow. Russ Johns and Birol Dindoruk greatly extended our understanding of ﬂow of four or more components with and without volume change on mixing. Yun Wang extended the theory to systems with an arbitrary number of components, and Kristian Jessen, who visited for six months with our research group during the course of his PhD work at the Danish Technical University, contributed substantially to the development of eﬃcient algorithms for automatic solution of problems with an arbitrary number of components in the oil or injection gas. Kristian Jessen and Pavel Ermakov independently worked out the ﬁrst solutions for arbitrary numbers of components with volume change on mixing. Jichun Zhu and Pavel Ermakov contributed substantially to the derivation of compact versions of key proofs. Birol Dindoruk, Russ Johns, Yun Wang, and Kristian Jessen kindly allowed me to use example solutions