Prediction of capillary air-liquid interfacial area vs. saturation function from relationship between capillary pressure and water saturation |
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| Institution: | 1. Department of Land, Air, and Water Resources, University of California, Davis, CA, USA;2. Institute of Geoecology, TU Braunschweig, Braunschweig, Germany;1. Department of Physics and Earth Science, University of Ferrara, Ferrara, Italy;2. Department of Civil and Environmental Engineering (DICA), Politecnico di Milano, Milano, Italy;3. Department of Physics and Astronomy, University of Bologna, Bologna, Italy;4. Joint Center For Earth Systems Technology, University of Maryland Baltimore County and NASA Goddard Space Flight Center, Greenbelt, Maryland, USA;1. Department of Geology, Payame Noor University, Tehran 19395-3697, Iran;2. Department of Geology and Geophysics, Texas A&M University, College Station, TX 77845, USA;1. Dept. of Elec., Manag. & Mechanical Engineering, University of Udine, Via delle Scienze 208, 33100 Udine, Italy;2. Institute of Fluid Mechanics and Heat Transfer, TU Wien, 1060 Wien, Austria;3. Dept. of Physics, University of Torino, Via Pietro Giuria 1, 10125 Torino, Italy |
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| Abstract: | This short communication investigates if the capillary air-liquid interfacial area vs. saturation relationship Alv(S) can be predicted from the capillary pressure vs. saturation relationship S(h), using the theoretical sample scale model of Diamantopoulos and Durner (2013, 2015). We selected three published experimental datasets, where S(h) and Alv(S) relationships had been measured for the same porous media. The sample scale model was fitted to the retention curve S(h) of each porous medium and then used to predict the air-liquid interfacial area Alv(S). We also included in the analysis the thermodynamic models of Leverett (1941) and Grant and Gerhard (2007). For two sandy materials and especially for high saturation values, the model predicted the capillary Alv(S) successfully, which was in one case given by a pore-network model simulation (Kibbey and Chen, 2012) and in the other case experimentally determined (Brusseau et al., 2006). For glass bead experiments, the contact angle needed to be fitted to properly describe the experimental Alv(S) curve. |
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