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Original Article | Open Access

A fractal effective permeability model for dual-wet porous media

School of Energy, China University of Geosciences, Beijing 100083, P. R. China
Shaanxi Key Laboratory of Advanced Stimulation Technology for Oil & Gas Reservoirs, Xi’an Shiyou University, Xi’an 710065, P. R. China
Deparment of Petroleum and Geosystems, The University of Texas at Austin, Austin, TX 78705, USA
School of Mining and Petroleum Engineering, University of Alberta, Edmonton, AB T6G 2R3, Canada
Production and Operation Management Department, China National Petroleum Corporation, Beijing 100018, P. R. China
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Abstract

Recent studies have shown that the pores of some unconventional rocks can be categorized into hydrophilic pores that boarded by inorganic minerals such as quartz and hydrophobic pores that within the organic matter. The rock which consists of both hydrophilic and hydrophobic pores shows a dual-wettability behavior. The previously-proposed imbibition transient analysis technique has been applied in characterizing the pore size distribution of the dual-wet rocks by analyzing comparative oil and water imbibition data. On the basis of the determined pore size distribution,a fractal model for estimating effective permeability of the dual-wet rock was proposed. The proposed model,together with the imbibition transient analysis technique,is able to estimate effective permeability of the dual-wet rocks by using imbibition data. The proposed model can also estimate the effective permeability of hydrophilic pores and hydrophobic pores. The proposed model takes injection pressure,wettability behavior and pore size distribution of the dual-wet rock into the consideration. Our sensitivity analyses show that injection pressure affects effective permeability and hydrophobic permeability by controlling the water saturation within hydrophobic pores. The rock with higher volumetric fraction of hydrophilic pores tends to have higher hydrophilic permeability and lower hydrophobic permeability. By keeping the porosity constant,effective permeability decreases as the volumetric fraction of small pores increases.

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Advances in Geo-Energy Research
Pages 100-111
Cite this article:
Shi Y, Guo Y, Dehghanpour H, et al. A fractal effective permeability model for dual-wet porous media. Advances in Geo-Energy Research, 2023, 8(2): 100-111. https://doi.org/10.46690/ager.2023.05.04

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Received: 10 March 2023
Revised: 02 April 2023
Accepted: 20 April 2023
Published: 25 April 2023
© The Author(s) 2023.

Open Access This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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