Non-Uniform Permeability — Lesson 5

This lesson covers the concept of flow through porous media, focusing on Darcy's law, continuum assumptions, and the definitions of permeability and porosity. It extends these concepts to a mass continuity equation in three dimensions and cylindrical coordinates. The lesson also discusses the pressure profile and velocity in cylindrical geometry, and how these change with radial distance from the center of a well. It further explores the concept of non-uniform permeability, where two strata with different permeabilities are considered. The lesson concludes with a discussion on how to handle discontinuous radial variation and the concept of effective permeability in linear systems.

Video Highlights

01:01 - Explanation of pressure profile and velocity in cylindrical geometry
03:38 - Understanding of non-uniform permeability
10:55 - Handling of discontinuous radial variation
23:58 - Concept of effective permeability in linear systems

Key Takeaways

- Understanding the flow through porous media involves concepts like Darcy's law, continuum assumptions, and definitions of permeability and porosity.
- The pressure profile and velocity in cylindrical geometry can be understood by considering the radial distance from the center of a well.
- Non-uniform permeability involves considering two strata with different permeabilities.
- Discontinuous radial variation can be handled by satisfying two different equations for the two different strata.
- The concept of effective permeability in linear systems involves understanding how to handle permeabilities in series and parallel.