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Dissolution of bubbles in porous media affects many important geological and engineering processes, such as CO
We found that porous structure does not only change the effective diffusivity, but also regulate the characteristic mass transfer distance and surface area. In open space, the mass transfer area (S) of the bubble is the surface area of the bubble itself, and the characteristic mass transfer distance is proportional to the bubble radius R 1. These result in V~t scaling in 2-d and V
For a bubble in a single pore, n is a constant, resulting in a linear V~t scaling. For a large bubble that occupies many pores, n depends on the shape of the bubble. If the bubble is completely liner, n is proportional to the volume of the bubble V, so we can deduce lnV~t. While if the bubble is a bulk, n
In addition ,we investigate the dissolution of CO
In summary, we establish the scaling laws for bubble dissolution in porous media. We show that bubble dissolution kinetics in porous media becomes very different from that in bulk, not only in the value of diffusivity, but (more significantly) also in the volume-time scaling, because porous structure regulates the mass transfer length and area.
References | 1. P.S. Epstein and M.S.Plesset, On the Stability of Gas Bubble in Liquid-Gas Solutions. Chen. Phys. 18,1505(1950). 2. Yuehongjiang Yu, Chuanxi Wang, Junning Liu, Sheng Mao, Yashar Mehmani, and Ke Xu, Bubble Coarsening Kinetics in Porous Media. Geophysical Research Letters. 10.1029/2022GL100757 |
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Country | China |
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