Finite-difference method Stokes solver (FDMSS) for 3D pore geometries: Software development, validation and case studies. (May 2018)

• Record Type: Journal Article
• Authors: Gerke, Kirill M.; Vasilyev, Roman V.; Khirevich, Siarhei; Collins, Daniel; Karsanina, Marina V.; Sizonenko, Timofey O.; Korost, Dmitry V.; Lamontagne, Sébastien; Mallants, Dirk
• Is Part Of: Computers & geosciences. Volume 114(2018)
• Page Start: 41
• Page End: 58
• Publication Date: 2018-05
• Subjects: Pore-scale modelling -- Stokes flow solver -- X-ray micro-tomography (XMT) -- Velocity field -- Pressure field -- REV analysis; Environmental policy -- Periodicals; 550.5
• DOI: 10.1016/j.cageo.2018.01.005
• Languages: English
• ISSNs: 0098-3004

Abstract

Abstract: Permeability is one of the fundamental properties of porous media and is required for large-scale Darcian fluid flow and mass transport models. Whilst permeability can be measured directly at a range of scales, there are increasing opportunities to evaluate permeability from pore-scale fluid flow simulations. We introduce the free software Finite-Difference Method Stokes Solver (FDMSS) that solves Stokes equation using a finite-difference method (FDM) directly on voxelized 3D pore geometries (i.e. without meshing). Based on explicit convergence studies, validation on sphere packings with analytically known permeabilities, and comparison against lattice-Boltzmann and other published FDM studies, we conclude that FDMSS provides a computationally efficient and accurate basis for single-phase pore-scale flow simulations. By implementing an efficient parallelization and code optimization scheme, permeability inferences can now be made from 3D images of up to 10 9 voxels using modern desktop computers. Case studies demonstrate the broad applicability of the FDMSS software for both natural and artificial porous media. Highlights: Free software to simulate pore-scale single-phase flow. Software is simple to use and contains both batch and GUI versions. Parallelization and code optimization make simulations on modern laptops possible. Software was verified using known sphere packing and by comparison to published data. Five different case studies illustrate the main capabilities and functionalities of the software.