How can I simulate the Darcy problem (flow movement) in porous medium under large deformation?

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Seyed Mehdi Mohammadizadeh Popular answer

Hi dear Amir Borumand

Geo-Stuido is an integrated product that is consist of some software. One of them is SEEP/W for simulation of Flow in fine(tiny, very small )porous media . The Governing Equations of this software are based on Darcy.

I sent a catalog and primarily information about this software to you.

Sincerely,

Mehdi Mohammadizadeh

Seyed Mehdi Mohammadizadeh

Luca Cortelezzi

Dear Amir Borumand,

I would tackle the problem using a Lattice Boltzmann Method (LBM) . This method should give you the flexibility necessary to model the porous medium and its large deformations. The programs the came to mind are:

1) OpenLB - Open Source Lattice Boltzmann Code at www.optilb.org/

2) openLBMflow Lattice Boltznamm 3D OPEN SOURCE CODE at

www.lbmflow.com/open-source/opendescription

Good luck and letting me know, if you have time, about your progress.

Best wishes,

Prof. Luca Cortelezzi

Department of Mechanical Engineering

McGill University

[email protected]

http://people.mcgill.ca/luca.cortelezzi/

Amir Borumand

Dear Prof. Cortelezzi,

Thank you very much for your valuable advice and guidance.

I will try programs and definitely let you know about the progress.

Best regards,

Amir

Dear Amir Borumand

If you need to represent the Laminar flow, the MODFLOW software would be adequate.

Dear researcher, please explain more about what do you mean "under large deformation"? Your question has some equivocal for me to understand...

Good papers for studying:

Conference Paper A numerical study of the flow through coarse and homogeneous...

Conference Paper Transition of Flow through Coarse Porous Media with Network ...

Dear Mehdi,

Thanks for sending papers.

By under large deformation I mean material undergoes nonlinear hyperelastic or viscoelastic regimes through applying force or displacement.

Alessandro Schiavi

Dear Amir, very interesting question. I am not completely sure if current software simulators now available are able to simulate Darcy's flows in materials undergoing hyperelastic and/or viscoelastic regimes. I believe it is a open area in computational science. Take into account that models are not yet completely defined also for poroelasticity. Considering the problems in terms of dynamics (and thermodynamics, since at those regimes temperatures play a relevant role) it is a great challange.

Can I kindly ask you what is the actual engeenering application needing the solution of your problem?

Dear Alessandro,

Thanks for comments and asking about application.

Actually I want to model blood movement in tissue under deformation.

Very interesting work!

Are you sure that blood speed (in particular in a tissue matrix undergoing large - and probably fast - deformation) is low enough with respect to laminar regime required by Darcy's laws?