Approximation of interfacial properties in multiphase porous medium systems |
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| Authors: | JE McClure D Adalsteinsson C Pan WG Gray CT Miller |
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| Institution: | 1. Department of Environmental Sciences and Engineering, University of North Carolina, 106 Rosenau Hall, Chapel Hill, NC 27599-7431, USA;2. Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, USA |
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| Abstract: | We investigate the estimation of interfacial areas, curvatures, and common curve lengths in multiphase porous medium systems. Algorithms are developed to obtain estimates of these quantities based upon a variety of potential data sources and estimation approaches. The accuracy of the derived approximations are evaluated as a function of the data type and resolution of the data. The methods advanced improve upon standard approaches now in use and show excellent accuracy at resolutions on the order of five lattice points per minimum radius of curvature of the object being resolved. Finally, we suggest a promising class of extensions that could lead to further improvements in the accuracy of such methods. |
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| Keywords: | Porous medium models Interfacial areas Curvatures Common curve lengths |
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