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Systems Description of Flow Through Porous Media

Jan Dirk Jansen

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Description for Systems Description of Flow Through Porous Media Paperback. Series: SpringerBriefs in Earth Sciences. Num Pages: 134 pages, 26 black & white illustrations, biography. BIC Classification: RB; TBJ; TGMF; TH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 7. Weight in Grams: 202.
This text forms part of material taught during a course in advanced reservoir simulation at Delft University of Technology over the past 10 years. The contents have also been presented at various short courses for industrial and academic researchers interested in background knowledge needed to perform research in the area of closed-loop reservoir management, also known as smart fields, related to e.g. model-based production optimization, data assimilation (or history matching), model reduction, or upscaling techniques. Each of these topics has connections to system-theoretical concepts.
The introductory part of the course, i.e. the systems description of flow through porous media, forms ... Read morethe 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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Product Details

Format

Paperback

Publication date

2013

Publisher

Springer International Publishing AG Switzerland

Number of pages

134

Condition

New

Series

SpringerBriefs in Earth Sciences

Number of Pages

119

Place of Publication

Cham, Switzerland

ISBN

9783319002590

SKU

V9783319002590

Shipping Time

Usually ships in 15 to 20 working days

Ref

99-15

Reviews for Systems Description of Flow Through Porous Media

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 ... Read more

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Systems Description of Flow Through Porous Media

Jan Dirk Jansen

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