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Updated: May 30, 2026

Parameterizing V-notch Weir Equations for Flow Monitoring in a Drainage Control Structure
Published on: April 25, 2025
Flow coupling during three-phase gravity drainage
H Dehghanpour1, B Aminzadeh, M Mirzaei
1Department of Petroleum and Geosystems Engineering, The University of Texas at Austin, Texas 78712, USA.
We measured three-phase oil relative permeability using unsteady-state experiments. Results show permeability depends strongly on water flow and saturation, unlike typical models, suggesting new transport mechanisms.
Area of Science:
- Petroleum Engineering
- Multiphase Flow in Porous Media
- Fluid Dynamics
Background:
- Accurate measurement of three-phase oil relative permeability (k(ro)) is crucial for reservoir simulation and enhanced oil recovery.
- Existing models often assume k(ro) independence from water flow and saturation, which may not hold under certain conditions.
- Unsteady-state experiments are necessary to capture dynamic flow couplings not observable in steady-state measurements.
Purpose of the Study:
- To measure three-phase oil relative permeability (k(ro)) under specific experimental conditions.
- To investigate the dependence of k(ro) on water saturation, oil saturation, and water flow.
- To explore the underlying physical mechanisms responsible for observed flow behaviors and develop a predictive model.
Main Methods:
- Conducted unsteady-state drainage experiments in a 0.8 m water-wet sand pack.
- Focused on scenarios starting from capillary-trapped oil conditions.
- Analyzed the relationship between k(ro), water saturation, oil saturation, and water flow rate.
Main Results:
- Observed a strong dependence of k(ro) on water flow and water saturation when starting from capillary-trapped oil.
- Found a weak dependence of k(ro) on oil saturation, contradicting conventional models.
- Demonstrated that flow coupling between water and oil is more pronounced in three-phase than two-phase flow.
Conclusions:
- Three-phase oil relative permeability is significantly influenced by water flow dynamics and saturation, particularly from trapped oil states.
- The observed phenomena suggest oil transport via moving interfaces (form drag) or momentum transfer (friction drag).
- A proposed friction drag model shows good agreement with the experimental data, offering a new approach to modeling three-phase flow.
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