Imperial College London
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ProfessorMartinBlunt

Faculty of Engineering, Department of Earth Science & Engineering

Chair in Flow in Porous Media
 
 
 
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Contact

 

+44 (0)20 7594 6500m.blunt Website

 
 
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Location

 

2.38ARoyal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Foroughi:2022:10.1007/s11242-022-01868-3,
author = {Foroughi, S and Bijeljic, B and Blunt, MJ},
doi = {10.1007/s11242-022-01868-3},
journal = {Transport in Porous Media},
pages = {683--696},
title = {A closed-form equation for capillary pressure in porous media for all wettabilities},
url = {http://dx.doi.org/10.1007/s11242-022-01868-3},
volume = {145},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - A saturation–capillary pressure relationship is proposed that is applicable for all wettabilities, including mixed-wet and oil-wet or hydrophobic media. This formulation is more flexible than existing correlations that only match water-wet data, while also allowing saturation to be written as a closed-form function of capillary pressure: we can determine capillary pressure explicitly from saturation, and vice versa. We proposePc=A+Btan(π2−πSCe)for0≤Se≤1,where Se is the normalized saturation. A indicates the wettability: A>0 is a water-wet medium, A<0 is hydrophobic while small A suggests mixed wettability. B represents the average curvature and pore-size distribution which can be much lower in mixed-wet compared to water-wet media with the same pore structure if the menisci are approximately minimal surfaces. C is an exponent that controls the inflection point in the capillary pressure and the asymptotic behaviour near end points. We match the model accurately to 29 datasets in the literature for water-wet, mixed-wet and hydrophobic media, including rocks, soils, bead and sand packs and fibrous materials with over four orders of magnitude difference in permeability and porosities from 20% to nearly 90%. We apply Leverett J-function scaling to make the expression for capillary pressure dimensionless and discuss the behaviour of analytical solutions for spontaneous imbibition.
AU  - Foroughi,S
AU  - Bijeljic,B
AU  - Blunt,MJ
DO  - 10.1007/s11242-022-01868-3
EP  - 696
PY  - 2022///
SN  - 0169-3913
SP  - 683
TI  - A closed-form equation for capillary pressure in porous media for all wettabilities
T2  - Transport in Porous Media
UR  - http://dx.doi.org/10.1007/s11242-022-01868-3
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000868968000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007/s11242-022-01868-3
UR  - http://hdl.handle.net/10044/1/100587
VL  - 145
ER  -
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