InterPore2023

Effect of yield stress in a two phase pore network model

22 May 2023, 15:15

15m

Oral Presentation (MS21) Non-linear effects in flow and transport through porous media MS21

Speaker

Andreas Hennig (NTNU and PoreLab)

Description

Non newtonian fluids in porous media flow offers complex interplays that are not fully understood. The Bingham rheology is an approximation of the rheology of a non-Newtonian fluid presenting yield stress, which are useful in several engineering applications, as reinforcement of soils by injection of slurries [1] and in the timely topic of fracking processes [2]. The subject is notoriously hard to study numerically, as we have a nonlinear rheology in a complex porous structure, but there has been recent advances in the field, for instance in characterizing a Darcy law [3]. This work aims to investigate the flow conditions of the Bingham body in complex geometries by using a Pore Network Model with a fairly novel numerical solver in the Augumented Lagrangian Method -- a method recently introduced by Talon and Hansen [4]. We are using the model to describe the qualitative behaviors of the yield stress effect, and have characterized a power law behavior that deviates from existing litterature, as found in [3] and [5].

References

[1] : Coussot, P.: Rheometry of pastes, suspensions, and granular materials: applications in industry and environment. John Wiley and Sons, New York, NY (2005)

[2] : Talon, L., Auradou, H., Hansen, A., 2014. Effective rheology of Bingham fluids in a rough channel. Frontiers in Physics 2. https://doi.org/10.3389/fphy.2014.00024

[3] : Liu, C., De Luca, A., Rosso, A., Talon, L., 2019. Darcy’s law for yield stress fluids.
Phys. Rev. Lett. 122, 245502. doi:10.1103/PhysRevLett.122.245502.

[4] : Talon, L., Hansen, A., 2020. Effective rheology of bi-viscous non-newtonian fluids in porous media. Frontiers in Physics 7. doi:10.3389/fphy.2019.00225.

[5] : Chen, M., Rossen, W., Yortsos, Y.C., 2005. The flow and displacement in porous media of fluids with yield stress. Chemical Engineering Science 60, 4183–4202. doi:https://doi.org/10.1016/j.ces.2005.02.054.