A Systems Description of Flow Through Porous Media (SpringerBriefs in Earth Sciences)
Language: English
Published by Springer, 2013
- Softcover
- New
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- Title
- A Systems Description of Flow Through Porous Media (SpringerBriefs in Earth Sciences)
- Author
- Jansen, Jan Dirk
- Publisher
- Springer
- Publication year
- 2013
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319002597
- ISBN 13
- 9783319002590
- Item weight
- 322 grams
- Series
- Book 11 of 65: SpringerBriefs in Earth Sciences
The introductory part of the course, i.e. the systems description of flow through porous media, forms the topic of this brief monograph. The main objective is to present the classic reservoir simulation equations in a notation that facilitates the use of concepts from the systems-and-control literature. Although the theory is limited to the relatively simple situation of horizontal two-phase (oil-water) flow, it covers several typical aspects of porous-media flow.
The first chapter gives a brief review of the basic equations to represent single-phase and two-phase flow. It discusses the governing partial-differential equations, their physical interpretation, spatial discretization with finite differences, and the treatment of wells. It contains well-known theory and is primarily meant to form a basis for the next chapter where the equations will be reformulated in terms of systems-and-control notation.
The second chapter develops representations in state-space notation of the porous-media flow equations. The systematic use of matrix partitioning to describe the different types of inputs leads to a description in terms of nonlinear ordinary-differential and algebraic equations with (state-dependent) system, input, output and direct-throughput matrices. Other topics include generalized state-space representations, linearization, elimination of prescribed pressures,the tracing of stream lines, lift tables, computational aspects, and the derivation of an energy balance for porous-media flow.
The third chapter first treats the analytical solution of linear systems of ordinary differential equations for single-phase flow. Next it moves on to the numerical solution of the two-phase flow equations, covering various aspects like implicit, explicit or mixed (IMPES) time discretizations and associated stability issues, Newton-Raphson iteration, streamline simulation, automatic time-stepping, and other computational aspects. The chapter concludes with simple numerical examples to illustrate these and other aspects such as mobility effects, well-constraint switching, time-stepping statistics, and system-energy accounting.
The contents of this brief should be of value to students and researchers interested in the application of systems-and-control concepts to oil and gas reservoir simulation and other applications of subsurface flow simulation such as CO2 storage, geothermal energy, or groundwater remediation.
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Review
From the book reviews:
“This book provides a comprehensive presentation of mathematical and physical theories of flows and transport in porous media, pointing out the most important practical applications. The book is excellently written and readable. Results of numerical solutions are given graphically and in tabular form. The book will be of great interest to a wide range of specialists working in the area of flows in porous media.” (Ioan Pop, zbMATH, Vol. 1290, 2014)"About the title" may belong to another edition of this title.
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