This solver simulates two-phase flow in porous media that contains two characteristic length scales: a large scale solid-free domain where flow is solved through the Volume-Of-Fluid Method, and a small scale porous domain where flow is solved through two-phase Darcy's Law. Both domains are coupled and are solved simultaneously with a single momentum equation and within a single mesh.
This repository was created by Francisco J. Carrillo and Cyprien Soulaine with the support of Ian C. Bourg.
Conceptual Representation of the Modeling Framework:
- This toolbox is compatible with OpenFOAM 7.0 and later.
- This toolbox needs only a standard OpenFOAM installation (see www.openfoam.org)
- Read the LICENCE_OPENFOAM file for information about OpenFOAM and this toolbox Copyrights.
First, make sure to source the OpenFOAM file, as shown in the following example code:
source /opt/openfoam7x/etc/bashrcThen, in the "hybridPorousInterFoam" directory, run:
./AllwmakeThis compiles the libraries "lporousInterfaceProperties.so", "lporousModels.so","lporousTwoPhaseProperties.so" and "lporousImmiscibleIncompressibleTwoPhaseMixture.so" in the standard OpenFOAM user directory : $FOAM_USER_LIBBIN;
The executable solver "hybridPorousInterFoam" is also compiled in the standard OpenFOAM user directory $FOAM_USER_APPBIN.
To remove temporary files, dynamic libraries, and executables, run:
./Allwclean To test if the solver was installed correctly, you can run all the included tutorial cases by typing the following code within the "tutorials" subdirectory:
python runTutorials.pyNote that this will only run each case for a single time step. Still, it might take a while. Also make sure to use python2 to run the associated script.
Each tutorial directory contains "run" and "clean" files to test installation and validate the solver. To run a particular tutorial for more than a single time step just replace "writeNow" with "endTime" within its "system/controlDict" file. Then you can run said tutorial by typing:
./runor equivalently:
hybridPorousInterFoamTo clean the directory:
./cleanCase Template
- A basic template that includes all the neccesary files to run a succesfull simulation. Each variable and parameter within the "0/" directory and the "constant/transportProperties" file is labeled and explained.
Darcy Flow Cases
- Test cases related to the verification of the solver in a domain completely occupied by porous media (Replicatino of the 1-D Buckley-Leverett analytical solution and determination of a capillarity-gravity equilibirum)
Free Flow Cases
- Test cases related to the verification of the solver in a domain where there is no porous media or just a porous boundary (capillary-driven flows, contact angle implementations, Bretherton thin film-dynamics)
Example Applications
- Sample cases that show the multi-scale nature of this solver by simulating systems with a combination of porous and free-fluid regions (fractures, coastal barriers, drainage, imbibition, porous fluid reservoir).
Wave Propagation in Coastal Barriers:
Drainage and Imbibition in Porous Fractures:
Viscous Fingering in Oil Reservoirs:
porousInterfaceProperties
- Implementation of a constant contact angle interface condition at the porous media-fluid interface.
porousImmicscibleIncompressibleTwoPhaseMixture
- Implementation of an immicisble incompressible two-phase fluid class that allows for the use of porousInterfaceProperties
porousTwoPhaseProperties:
- Defenition of two-phase fluid properties that allows for the use of porousInterfaceProperties
porousModels/phaseModels ( adapted )
- Incompressible phase model for porous media flows (constant density and viscosity)
porousModels/capillarityModels ( adapted )
- Capillary pressure models (Brooks and Corey, Van Genuchten, Linear)
porousModels/relativePermeabilityModels ( adapted )
- Relative permeability models (Brooks and Corey, Van Genuchten)
Note on Adapted Libraries
- The libraries marked as "adapted" were obtained from the open-sourced porousMultiphaseFoam source code published in Horgue P. et al. (2015). Said code can be used to efficiently model full Darcy-scale flows.
If you use this solver, please cite the following paper (theory) and the code (implementation):
Paper: Carrillo, F. J., Bourg, I. C., Soulaine, C., 2020, Multiphase Flow Modelling in Multiscale Porous Media: An Open-Sourced Micro-Continuum Approach, arXiv:2003.08374
https://arxiv.org/abs/2003.08374
Code: https://doi.org/10.5281/zenodo.3724707 (DOI: 10.5281/zenodo.3724707)
- Carrillo, F. J., Bourg, I. C., 2019. A darcy-brinkman-biot approach to modeling the hydrology and mechanics of porous media containing758 macropores and deformable microporous regions. Water Resources Research 55, 8096–8121
- Soulaine, C., Gjetvaj, F., Garing, C., Roman, S., Russian, A., Gouze, P., Tchelepi, H., May 2016. The impact of sub-resolution porosity of918 x-ray microtomography images on the permeability. Transport in Porous Media 113 (1), 227–243.919
- Soulaine, C., Roman, S., Kovscek, A., Tchelepi, H. A., 2017. Mineral dissolution and wormholing from a pore-scale perspective. Journal of920 Fluid Mechanics 827, 457–483.921 URL https://www.cambridge.org/core/product/identifier/S0022112017004992/type/journal_article922
- Soulaine, C., Roman, S., Kovscek, A., Tchelepi, H. A., 2018. Pore-scale modelling of multiphase reactive flow. Application to mineral923 dissolution with production of CO2. Journal of Fluid Mechanics 855, 616–645.924 Soulaine, C., Tchelepi, H.A., 2016.Micro-continuumapproachforpore-scalesimulationofsubsurface processes.TransportIn PorousMedia925 113, 431–456
- Soulaine, C., Creux, P., Tchelepi, H. A., 2019. Micro-continuum framework for pore-scale multiphase fluid transport in shale formations.916 31 Transport in Porous Media.
- Horgue, P., Soulaine, C., Franc, J., Guibert, R., Debenest, G., 2015. An open-source toolbox for multiphase flow in porous media. Computer Physics Communications 187 (0), 217– 226
- The referenced Darcy-Scale toolbox can be found here: https://github.com/phorgue/porousMultiphaseFoam