Experimental and Numerical Study of the Effect of Rock Dissolution on Absolute Permeability of Limestone Sub-Samples

Akasheva Z.K. Assilbekov B.K. Bolysbek D.A. Iskakov B. Uzbekaliyev K.S. Issayev G.I.
January 2024 Multidisciplinary Digital Publishing Institute (MDPI)

Applied Sciences (Switzerland)
2024 #14 Issue 1

Permeability is a key transport property of porous materials, and its accurate evaluation is relevant when studying applied tasks, such as CO₂ injection into reservoirs and investigating groundwater quality. This study examines the dependence of permeability on total and connected porosity, hydraulic tortuosity, specific surface area, and mean pore radius based on the data of 408 cubic sub-volumes extracted from heterogeneous and naturally fractured cylindrical carbonate samples, before and after injection of HCl solutions. These parameters were computed using pore-scale modeling of fluid flow. Our results show that permeability correlates well with porosity and mean pore radius, with correlation coefficients of (Formula presented.) for heterogeneous samples. It was found that the presence of natural fractures significantly influenced the relationship between permeability and other parameters. The relationship between permeability (Formula presented.), tortuosity (Formula presented.), and specific surface area (Formula presented.) is described by the power laws (Formula presented.) and (Formula presented.), with coefficients (Formula presented.) and (Formula presented.) substantially exceeding those in the Kozeny–Carman equation. It was also found that there is a parabolic relationship between connected and total porosities, both before and after rock dissolution with (Formula presented.). This allowed for an estimation of percolation threshold porosity in accordance with the literature data.

absolute permeability , dissolution , percolation threshold porosity , pore-scale modeling , power law , X-ray microcomputed tomography

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Laboratory of Computational Modeling and Information Technologies, Satbayev University, Almaty, 050013, Kazakhstan
I2CNER, Kyushu University, Fukuoka, 819-0395, Japan
Institute of Ionosphere, Almaty, 050020, Kazakhstan
Department of Biology, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan

Laboratory of Computational Modeling and Information Technologies
I2CNER
Institute of Ionosphere
Department of Biology

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