Journal
JOURNAL OF CONTAMINANT HYDROLOGY
Volume 245, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.jconhyd.2022.103953
Keywords
Diffusion coefficient; Finite-size scaling analysis; Scale; Tortuosity
Funding
- Kansas State University
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In porous media, understanding the scale dependence is crucial. This study proposes a finite-size scaling analysis from physics to investigate the scale dependence of tortuosity and diffusion coefficient, and demonstrates its effectiveness through simulation comparison.
Physical and hydraulic properties of porous media are routinely measured/simulated at smaller scales e.g., pore and core. However, their determination at larger scales e.g., field and reservoir has still been a great challenge. Although understanding the scale dependence of transport modes in rocks and soils is essential, the porous media community still lacks in a solid theoretic framework. In this short communication, we propose finite-size scaling analysis from physics to investigate the scale dependence of tortuosity and diffusion coefficient. By comparing with two- and three-dimensional simulations, we demonstrate that the finite-size scaling analysis is a powerful approach. More specifically, we show that the plot of simulated tortuosity or diffusion coefficient versus scale looks scattered. However, after applying the finite-size scaling analysis, the data collapse together showing a quasi-universal trend.
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