Seminars

PMMH’s weekly seminar is held every Friday at 11 am (map)

Contact :
Sylvain Patinet
Stéphane Perrard
Etienne Reyssat
Virgile Thiévenaz
responsables-seminaires (arobase) pmmh.espci.fr

PMMH
BARRE CASSAN
BAT A 1ER ETAGE CASE 18
7 QUAI SAINT BERNARD
75005 PARIS
France

Tel : (33) 1 40 79 45 22


Séminaire PMMH - Alex Hansen (NTNU Norvège)

Vendredi 29 mars de 11h00 à 12h00 - Salle réunion PMMH 1

Séminaire d'Alex Hansen (NTNU, Trondheim, Norvège)

The co-moving velocity, a new concept in immiscible two-phase flow in porous media

Alex Hansen
PoreLab, Department of Physics, NTNU, Trondheim, Norway

Since 1936, relative permeability theory has been the leading description of immiscible two-phase flow in porous media at scales much larger than the pore scale. Central to this theory are the two relative permeabilities, one for each fluid, which measures the reduction of mobility each fluid experiences due to the presence of the other fluid. The theory assumes the two relative permeabilities to be functions of the saturation (i.e., relative concentration) alone. When there are saturation gradients present, a third parameter comes into play, the capillary pressure. This is also assumed to depend on the saturation alone.

Such a theory is clearly quite limited in that it makes many strong assumptions. Yet, it is essentially the only one that is used for practical calculations. Can one do better ? That is, come up with a theory that is closer to the physics that is going on and at the same does not drown in complexity ? My answer is yes [1-7]. The aim of this talk is to describe this new theory. I will focus on a new velocity that pops up, namely the co-moving velocity. This velocity has remarkable properties that hints at something deeper which is yet to be uncovered.

References

[1] A. Hansen, S. Sinha, D. Bedeaux, S. Kjelstrup, M. Aa. Gjennestad and M. Vassvik, Relations between seepage velocities in two-phase flow in homogeneous porous media, Transp. Porous Med. 125, 565 (2018) ; doi:10.1007/s11242-018-1139-6.

[2] S. Roy, S. Sinha, and A. Hansen, Flow-area relations in immiscible two-phase flow in porous media, Front. Phys. 8, 4 (2020) ; doi:10.3389/fphy.2020.00004.

[3] S. Roy, H. Pedersen, S. Sinha, and A. Hansen, The co-moving velocity in immiscible two-phase flow in porous media, Transp. in Porous Media, 143, 69 (2022) ; doi:10.1007/s11242-022-01783-7.

[4] A. Hansen, E. G. Flekkøy, S. Sinha, and P. A. Slotte, A statistical mechanics for immiscible and incompressible two-phase flow in porous media, Adv. Water Res., 171, 104336 (2023) ; doi:10.1016/j.advwatres.2022.104336.

[5] H. Pedersen and A. Hansen, Parametrizations of immiscible two-phase flow in porous media, Front. Phys. 11, 1127345 (2023) ; doi:10.3389/fphy.2023.1127345.

[6] F. Alzubaidi, J. E. McClure, H. Pedersen, A. Hansen, C. F. Berg, P. Mostaghimi and R. T. Armstrong, The impact of wettability on the co-moving velocity of two-fluid flow in porous media, arXiv:2309.0036.

[7] J. Feder, E. G. Flekkøy, and A. Hansen, Physics of Flow in Porous Media, (Cambridge University Press, 2022).

Top







Seminars  (5)

  • Séminaire PMMH - François Petrelis (ENS)
    Vendredi 31 mai de 11h00 à 12h00 - Salle réunion PMMH 1
    Earthquake statistical properties : an explanation for the distribution of magnitude and for the existence of aftershocks
    Earthquakes in nature follow several statistical properties. In particular, the distribution of energy released by an earthquake (Gutenberg-Richter's law) and the frequency of aftershocks after a large event (Omori's law) are both power-laws. By studying several earthquake models, we have shown that the (...)
  • Séminaire PMMH - Ko Okumura (Ochanomizu University, Tokyo)
    Vendredi 14 juin de 11h00 à 12h00 - Salle réunion PMMH 1
    A hydrodynamic analog of critical phenomena : an uncountably infinite number of universality classes
    When a solid object starts falling into a viscous fluid from air-liquid interface, air is entrained into the liquid and eventually detaches from the solid. Such detachment could occur with or without topological change. Recently, it was found that the former case (i.e., breakup, a form of singular transitions) is (...)
  • Séminaire PMMH - Ko Okumura (Ochanomizu University, Tokyo)
    Vendredi 14 juin de 11h00 à 12h00 - Salle réunion PMMH 1
    A hydrodynamic analog of critical phenomena : an uncountably infinite number of universality classes
    When a solid object starts falling into a viscous fluid from air-liquid interface, air is entrained into the liquid and eventually detaches from the solid. Such detachment could occur with or without topological change. Recently, it was found that the former case (i.e., breakup, a form of singular transitions) is (...)
  • Séminaire PMMH - Avin Babataheri (Ladhyx)
    Vendredi 20 septembre de 11h00 à 12h00 - Salle réunion PMMH 1
    1D confinement controls cell shape and migration
    Pericytes are mural cells of the microvasculature, they wrap around small vessels, support the vessels mechanically and participate in blood flow regulation. Pericytes are distinguished by two main characteristics ; first their distinct morphology, which has been likened to a “bump on a log”, as they present long (...)
  • Séminaire PMMH - Avin Babataheri (Ladhyx)
    Vendredi 20 septembre de 11h00 à 12h00 - Salle réunion PMMH 1
    1D confinement controls cell shape and migration
    Pericytes are mural cells of the microvasculature, they wrap around small vessels, support the vessels mechanically and participate in blood flow regulation. Pericytes are distinguished by two main characteristics ; first their distinct morphology, which has been likened to a “bump on a log”, as they present long (...)
Information for the speakers

The audience is composed of people with rather heterogeneous backgrounds including specialists in solids, fluids, granular flows, statistical physics... so the idea is to keep your talk understandable by people not necessarily working in your field... The seminar time slot runs from 11am to noon so the best is to make the talk last around 45 minutes to leave some time for discussion.

Link to cofee seminar (internal, every Thursday)


Top



Practical information

Laboratoire : 01 40 79 45 22
Directeur : Damien Vandembroucq
Codirecteur : Philippe Petitjeans
Administratrice : Frédérique Auger (01 40 79 45 22)
Gestionnaire : Claudette Barez (01 40 79 58 53)
Courriel : dir (arobase) pmmh.espci.fr