Speaker
Description
We expect quantitative changes in the behavior of immiscible two-phase flow in porous media when we move from uniform to mixed wet conditions [1]. Are there also qualitative changes? When viscous and capillary forces -the latter determined by the wetting conditions - compete, there is growing evidence that the flow rate depends on the pressure gradient to a power in the the range 1.5 to 2 [2]. These studies have all been performed under uniform wetting conditions. Do we still see this behavior under mixed wet conditions? Using a dynamic network simulator where we follow the motion of the fluid interfaces through the porous medium [3], and a capillary fiber bundle model [4], which is analytically solvable, we demonstrate that indeed we find the same qualitative behavior under these conditions [5].
References
[1] Gao, Y., Raeini, A. Q., Selem, A. M., Bondino, I., Blunt, M. J., and Bijeljic, B., Adv. Water Res. 146, 103786 (2020).
[2] Tallakstad, K. T., Knudsen, H. A., Ramstad, T., Løvoll, G., Måløy, K. J., Toussaint, R., and Flekkøy, E. G., Phys. Rev. Lett., 102, 074502 (2009); Tallakstad, K. T., Løvoll, G., Knudsen, H. A., Ramstad, T., Flekkøy, E. G., and Måløy, K. J., Phys. Rev. E, 80, 036308 (2009); Sinha, S. and Hansen, A., EPL, 99, 44004 (2012); Roy, S., Hansen, A. and Sinha, S., Front. Phys. 7, 92 (2020); Aursjø, O., Erpelding, M., Tallakstad, K. T., Flekkøy, E. G., Hansen, A., and Måløy, K. J., Front. Phys. 2, 63 (2014); Sinha, S., Bender, A.T., Danczyk, M., Keepseagle, K., Prather, C.A., Bray, J.M., Thrane, L.W., Seymour, J.D., Codd, S.L. and Hansen, A., Transport Por. Media, 119, 77 (2017); Gao, Y., Lin, Q., Bijeljic, B. and Blunt, M. J., Water Resources Research, 53, 10274 (2017); Gao, Y., Lin, Q., Bijeljic, B. and Blunt, M. J., Phys. Rev. Fluids, 5, 013801 (2020); Zhang, Y., Bijeljic, B., Gao, Y., Lin, Q. and Blunt, M. J., eartharXiv, https://doi.org/10.31223/osf.io/2rxbn (2020).
[3] Sinha, S., Gjennestad, M. Aa., Vassvik, M. and Hansen, A., arXiv:1907.12842 (2019).
[4] Roy, S., Hansen, A. and Sinha, S., Front. Phys. 7, 92 (2019).
[5] Fyhn, H., Sinha, S., Roy, S., and Hansen, A., in preparation.
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