Numerical Simulations of Fluid Flow through High Porosity Porous Media
Abstract/Contents
- Abstract
- The main goal of this work was to improve our physical understanding of fluid flow through high porosity (60-95%) porous media. We investigated the flows in a variety of2D pore geometries using numerical simulations. The design of the models was aided by numerical experiments, with special care taken to ensure two dimensional flow midspan of the cylinders. The micromodel experiments, which will be used to validate the numerical results, are ongoing. The results will aid the design of improved extensions to Darcy's law for high porosity materials. Our numerical code is based on the parallel Cartesian Immersed Boundary Method Navier-Stokes solver developed by Mittal et. al.. Because of its efficiency, the code is highly suitable for the demanding, high-resolution simulations. Numerical simulations were done using geometry of irregular shapes as well as large arrays of solid cylinders,both staggered and non-staggered, with a diameter of the order of 10 micrometers. A transition from Darcy flow to non-Darcy flow was observed at Reynolds number around1, with slight dependence on the geometry. Also, the relationship between the viscous dissipation and the body shape was investigated. When Reynolds number exceeds a certain value, dissipation increases fast due to wake formation behind the grains.The Forchheimer equation was used to describe the flow when 20 < Re < 100. The flow obeys the Forchheimer model well and the form coefficient, calculated from curve fitting,was found to be dependent on the irregularity of the geometry.
Description
| Type of resource | text |
|---|---|
| Date created | June 2004 |
Creators/Contributors
| Author | Chen, Tianhong |
|---|---|
| Primary advisor | Gerritsen, Margot |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
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Preferred citation
- Preferred Citation
- Chen, Tianhong. (2004). Numerical Simulations of Fluid Flow through High Porosity Porous Media. Stanford Digital Repository. Available at: https://purl.stanford.edu/mz096fk2694
Collection
Master's Theses, Doerr School of Sustainability
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