Modelling multiphase flow through micro-CT images of the pore space
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Transcript of Modelling multiphase flow through micro-CT images of the pore space
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Modelling multiphase flow through micro-CT images of the pore space
Department of Earth Science and EngineeringImperial College Consortium on Pore-scale Modelling
Ali Raeini, Branko Bijeljic and Martin Blunt
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Objective
Micro-CT image
Capillary pressure
Relative permeability
,= ,
xPPkk
q ca
a
ara
Macroscopic description of the flow
Direct numerical simulation
Microscopic description of flow
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Capillary pressure
Relative permeability
Previous studies
Pore network model
Pore network
modelling
Micro-CT
image
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Capillary pressure
Relative permeability
Methodology
Numerical
Simulation
Micro-CT
imageFinite
volume mesh
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Governing equations
Capillary pressure equation
Mass balance
Momentum balance
Advection of indicator function
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Numerical code
OpenFOAM: open source CFD toolbox
interFOAM code:Discretisation of PDEs: Finite Volume MethodCapturing interface position: Volume of Fluid methodSurface tension forces: Continuous Surface Force (CSF) model
(Brackbill et al., 1992)
www.openfoam.com
+ our modifications ......
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Test cases Modelling a static droplet
Initial conditionEquilibrium
solution
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Test cases Modelling a static droplet Original CSF formulation
(m/s)
Presence of spurious velocities in CSF formulation makes the simulations impossible at low capillary numbers
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Test cases Modelling a static droplet
Sharp Surface Force (SSF) formulation
(m/s)(Pa)
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Test cases Modelling a static droplet CSF vs. SSF results
Capillary waves Spurious currents
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Jagged solid walls
Test cases Droplet in contact with a flat plate
Smooth solid walls
solid wall
(m/s)
Non-physical velocities are generated close to the jagged solid walls in both CSF and SSF formulations
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Test cases Droplet in contact with a flat plate
Filtering capillary forces parallel to the interface
(m/s)(Pa)
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CSF formulationSSF formulation
Test cases Steady movement of a micro-scale droplet
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Filtering capillary fluxes
Test cases Steady movement of a micro-scale droplet
Filtering is necessary to obtain accurate results for the velocity field
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Novel contributions in this study
Filtering capillary forces parallel to the interface
Filtering capillary fluxes
Sharp Surface Force formulation
.....
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Primarily pore-scale simulations Transient drainage experiment
,)()()(= ,
xsPsPskk
u acaa
a
aara
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Simulation time
2/14 1
xuNt
dsim
4Ntsim High Capillary Numbers
Low Capillary Numbers
3Ntsim Single-phase flow
(>10-7)
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(Pa)
(Pa)
Future work
Pd
Obtaining Capillary pressure and relative permeability curves from transient experiments
Improving the efficiency of the numerical model for low capillary numbers
Pc
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Future work
Steady two-phase flow experiments, using cyclic boundary conditions
Multiphase micro-CT images
Transient experiments
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Thanks to:
oStephen Neethling, Peyman Mostaghimi, Christopher Pentland
and many other colleagues, for useful discussions
o Sponsors of the project:DTI, EPSRC, ENI, Saudi Aramco, BG, BHP,JOGMEC, Schlumberger, Shell, Statoil and Total
and Thank you for your attention
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References
Brackbill, J. U., Kothe, D. B., and Zemach, C. A continuum method for modeling surface tension. J. Comput. Phys., 100(2):335–354, 1992