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Current Research By Tianhong Chen Last updated on 04/19/2005 |
As a first-year Ph.D. student at Stanford University, I am now working with Professor Margot Gerritsen in SUPRI-C, with research focusing on multi-level local-global upscaling and model of fluid Flow in high porosity materials.
Multi-Level Local-Global Upscaling
Project Description
Use two gridding approaches to better capture the fine scale features, such as faults and pinch-out zones. One is SUPRI-C's CCAR (Cartesian cell-based adaptive refinement), which is Cartesian unstructured grid (a); and the other is non-Cartesian structured grid (b). Also explore use of local-global approaches (perhaps in a regional manner) to improve error bounds.
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(a) |
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(b) |
Model of Fluid Flow in High Porosity Materials
Project Introduction
Darcy’s law breaks down at high velocity and porosity because form drag cannot be ignored. Thus we need to improve Darcy’s law by the following extensions:
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Brinkman eq. |
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Forchheimer eq. |
Question: What models should we use for high porosity materials?
Problem Solving
What we are doing in this project involves both experiments and simulations. By using experiments to validate simulations and using numerical simulation to compute information about flow at micro level, we find out things like pressure drop, viscous dissipation for a range of Re and a range of f. Finally we will use these data to design a general model at macro level.
Project Description
Our aim is to develop accurate and efficient pore-scale simulator and to design improved extensions to Darcy's law for high porosity materials (f > 0.6).
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Set up array of cylinders (staggered and non-staggered) and irregular shaped configurations. Numerical experiments are used to validate the lab. experiments. |
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Look at validity of Darcy’s law extensions. |
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Come up with “better law”. |
Results
Forchheimer's Equation
Nonstaggered cylinders, porosity f = 0.7 irregular shape geometry, porosity f = 0.7
Streamline and pressure field of fluid flow pass irregular shaped configurations
