Comment on “A periodic grain consolidation model of porous media” [Phys. Fluids A 1, 38 (1989)]
KAUST DepartmentUpstream Petroleum Engineering Research Center (UPERC)
Energy Resources and Petroleum Engineering
Physical Sciences and Engineering (PSE) Division
Online Publication Date2019-10-11
Print Publication Date2019-10-01
Embargo End Date2020-10-11
Permanent link to this recordhttp://hdl.handle.net/10754/658595
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AbstractIn this document, we correct the friction coefficient values presented in Table III in a study by Larson and Higdon [“A periodic grain consolidation model of porous media,” Phys. Fluids A 1, 38 (1989)]. The authors addressed the problem of Stokes flow through periodic arrays of (non)overlapping spheres and determined the friction coefficients. It appears that the volume of the overlapping region of spheres was not taken into account, which affected the total solid concentration and systematically biased the corresponding friction coefficient values. We correct the sphere concentration and friction coefficients, and validate our approach with lattice-Boltzmann simulations. The suggested correction is valid in the case of overlapping spheres only, when the volume of the overlapping region is positive.
CitationKhirevich, S., & Patzek, T. W. (2019). Comment on “A periodic grain consolidation model of porous media” [Phys. Fluids A 1, 38 (1989)]. Physics of Fluids, 31(10), 109101. doi:10.1063/1.5116700
SponsorsWe are grateful for the allocation of computational resources by the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.
JournalPhysics of Fluids