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[Robert Caulk <question640093@xxxxxxxxxxxxxxxxxxxxx>]

New question #640093 on Yade:
https://answers.launchpad.net/yade/+question/640093

Dear Yade community,

The more I learn about the implementation of PFV in Yade, the more impressed I am by how cleverly it is mechanically coupled to the DE and by how efficient it is at solving complex poroelastic problems. I applaud all who developed it. Thank you for making this package available to the public.

Recently, however, I have stumbled onto something that may need explaining to me. Let me start by explaining my understanding of the solution to the hydraulic problem. 

-We are conserving cell volume by accounting for fluid compressibility and flux between cells. This conservation allows us to compute the change of pore pressure for a cell.
-The change of cell pressure depends on the pressures of the neighbor cells and their respective pore throat conductivities. 
-These conductivities are estimated by Poiseuille's law (or parallel plate for a fractured cell).

So it is clear that the pressures of the cells depend on the compressibility of the fluid. These pressures control the flux between cells. But, we are using Poiseuille's law and the parallel plate approximation to estimate the conductivity between cells. Both of these estimates depend on the assumption of incompressible fluid flow.

Hmmm, am I missing something? I understand that this method has been validated by several studies [1][2], but at the end of the day, it appears to me that it is not truly compressible.

Cheers,

Robert 

[1] 
Catalano, E., Chareyre, B., & Barthelemy, E. (2014). Pore-scale modeling of fluid-particles interaction and emerging poromechanical effects. International Journal for Numerical and Analytical Methods in Geomechanics, 38(1), 51–71. http://doi.org/10.1002/nag.2198

[2]
Tong, A.T., Catalano, E., Chareyre, B.: Pore-scale flow simulations: model predictions compared with experiments on bi-dispersed granular assemblies. Oil Gas Sci. Technol.—Rev. IFP Energies Nouvelles (2012). doi:10.2516/ogst/2012032

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