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Stochastic effects on single phase fluid flow in porous media
1Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, Nottingham, UK. bencsik@magres.nottingham.ac.uk
Magnetic Resonance Imaging
|July 11, 2001
Summary
Predicting fluid flow in porous media is unreliable. Causal analysis using the Navier-Stokes approach is invalid, as errors in predicting flow velocity distribution exceed measurement noise.
Area of Science:
- Fluid Dynamics
- Porous Media Research
- Biomedical Imaging
Background:
- Understanding fluid flow in porous media is crucial for various scientific and engineering applications.
- Previous models often assume a direct causal relationship between flow conditions.
Purpose of the Study:
- To investigate the causality between different steady-state flow conditions in porous media.
- To determine if flow velocity distribution can be accurately predicted based on prior measurements.
- To assess the validity of the Navier-Stokes approach for predicting flow in such systems.
Main Methods:
- Utilized flow-encoded Echo Planar Imaging (PEPI) to measure water velocity distribution.
- Experimented with a phantom of randomly distributed 10 mm glass beads.
- Compared predicted flow velocity distributions with actual measurements under varying flow conditions.
Main Results:
- Prediction errors for flow velocity distribution significantly exceeded intrinsic thermal noise.
- Errors in re-establishing a specific velocity distribution were also substantial.
- The degree of causality between steady-state flow conditions was found to be limited.
Conclusions:
- The causal approach to predicting flow velocity distributions in porous media using the Navier-Stokes equations is invalid.
- Experimental errors in flow prediction and re-establishment are not attributable to measurement limitations.
- Further research is needed to develop more accurate models for fluid flow in porous media.