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Wettability and Lenormand's diagram

Primkulov, Bauyrzhan K. and Pahlavan, Amir A. and Fu, Xiaojing and Zhao, Benzhong and MacMinn, Christopher W. and Juanes, Ruben (2021) Wettability and Lenormand's diagram. Journal of Fluid Mechanics, 923 . Art. No. A34. ISSN 0022-1120. doi:10.1017/jfm.2021.579.

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Fluid–fluid displacement in porous media has been viewed through the lens of Lenormand's phase diagram since the late 1980s. This diagram suggests that the character of the flow is controlled by two dimensionless parameters: the capillary number and the viscosity ratio. It is by now well known, however, that the wettability of the system plays a key role in determining the pore-scale displacement mechanisms and macroscopic invasion patterns. Here, we endow Lenormand's diagram with the impact of wettability using dynamic and quasi-static pore-network models. By using the fractal dimension and the ratio of characteristic viscous and capillary pressures we delineate the five principal displacement regimes within the extended phase diagram: stable displacement, viscous fingering, invasion percolation, cooperative pore filling and corner flow. We discuss the results in the context of pattern formation, displacement-front dynamics, pore-scale disorder and displacement efficiency.

Item Type:Article
Related URLs:
URLURL TypeDescription
Primkulov, Bauyrzhan K.0000-0002-8162-2471
Pahlavan, Amir A.0000-0003-3505-9718
Fu, Xiaojing0000-0001-7120-704X
Zhao, Benzhong0000-0003-1136-9957
MacMinn, Christopher W.0000-0002-8280-0743
Juanes, Ruben0000-0002-7370-2332
Additional Information:© The Author(s), 2021. Published by Cambridge University Press. Received 24 September 2020; revised 9 April 2021; accepted 19 June 2021. The authors would like to thank A. Jacquey, E. Haghighat, J.A. da Silva Jr., W. Li, J. Li and P. Mora for insightful discussions and help with computation during the project. This work was funded by the KFUPM-MIT collaborative agreement ‘Multiscale Reservoir Science’. R.J. acknowledges funding from the US Department of Energy (grant DE-SC0018357). The authors declare no conflict of interest.
Funding AgencyGrant Number
King Fahd University of Petroleum and Minerals (KFUPM)UNSPECIFIED
Department of Energy (DOE)DE-SC0018357
Subject Keywords:capillary flows, fingering instability, porous media
Record Number:CaltechAUTHORS:20210915-222850696
Persistent URL:
Official Citation:Primkulov, B., Pahlavan, A., Fu, X., Zhao, B., MacMinn, C., & Juanes, R. (2021). Wettability and Lenormand's diagram. Journal of Fluid Mechanics, 923, A34. doi:10.1017/jfm.2021.579
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110910
Deposited By: Tony Diaz
Deposited On:16 Sep 2021 17:19
Last Modified:16 Sep 2021 17:19

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