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A Method for Computing Unsteady Flows in Porous Media.

Author: R Raghavan
Publisher: Boca Raton, FL : CRC Press, 2017.
Edition/Format:   eBook : Document : English : First editionView all editions and formats
Summary:
"Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R Raghavan
ISBN: 9781315136387 1315136384 9781351469760 1351469762
OCLC Number: 1014383627
Description: 1 online resource : text file, PDF
Contents: Cover; Title Page; Copyright Page; Table of Contents; Preface; Nomenclature; I: General Theory; 1.1. Equations for flow through porous solids; 1.2. Diffusion with impulsive and concentrated sources. Distributions; 1.3. Integral representation of solutions to the diffusion equation; the fundamental solution; II: The Initialâ#x80;#x93;Boundaryâ#x80;#x93;Value Problem; 2.1. Flow in an infinite medium; 2.2. Flow in linear (slab) porous media; 2.3. Flow in cylindrical porous media; 2.4. Flow in rectangular parallelepipeds; III: Treatment of Extraction Points; 3.1. Pressure distribution in slab reservoirs 3.2. Pressure distribution in cylindrical porous media3.3. Pressure distribution in rectangular parallelepipeds; IV: Computational Considerations; 4.1. The integral; 4.2. The series; 4.3. The series; 4.4. The series; 4.5. The series; 4.6. Flow in a domain bounded by two parallel planes that are impermeable. Some applications; 4.7. A note on the ratios; 4.8. Flow in cylindrical porous media. Some Applications; 4.9. Flow in rectangular parallelepipeds. Some Applications; V: Flow in Fissured and Layered Porous Media; 5.1. Duhamelâ#x80;#x99;s formula 5.2. Flow in naturally-fractured or fissured porous media5.3. Layered porous media; 5.4. Wellbore hydraulics; Appendixâ#x80;#x94;Fundamental Solution for Slab Reservoirs; Subject Index

Abstract:

"Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media."--Provided by publisher.

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