5. Flow of a Fluid in a Porous Medium

  1. Ismael Herrera and
  2. George F. Pinder

Published Online: 19 MAR 2012

DOI: 10.1002/9781118207239.ch5

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

How to Cite

Herrera, I. and Pinder, G. F. (2012) Flow of a Fluid in a Porous Medium, in Mathematical Modeling in Science and Engineering: An Axiomatic Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118207239.ch5

Publication History

  1. Published Online: 19 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118087572

Online ISBN: 9781118207239

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Keywords:

  • flow model;
  • porous medium;
  • fluid compressibility;
  • pore compressibility;
  • Darcy's law

Summary

This chapter contains sections titled:

  • Basic Assumptions of the Flow Model

  • The Basic Model for the Flow of a Fluid Through a Porous Medium

  • Modeling the Elasticity and Compressibility

  • Darcy's Law

  • Piezometric Level

  • General Equation Governing Flow Through A Porous Medium

  • Applications of the Jump Conditions

  • Well-Posed Problems

  • Models with a Reduced Number of Spatial Dimensions

  • Summary

  • Exercises