A method for computing unsteady flows in porous media

Bibliographic Information

A method for computing unsteady flows in porous media

R. Raghavan and E. Ozkan

(Pitman research notes in mathematics series, 318)

Longman Scientific & Technical , Copublished in the United States with J. Wiley & Sons, Inc., 1994

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Description and Table of Contents

Description

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.

Table of Contents

1. General theory 2. The initial-boundary-value problem 3. Treatment of extraction points 4. Computational considerations 5. Flow in fissured and layered porous media Appendix - Fundamental solution for slab reservoirs

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