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ORIGINAL RESEARCH article

Front. Earth Sci.

Sec. Georeservoirs

Permeability evolution model of high-pressure waterflooding with dual fractal characteristics of mechanical property and fracture structures

Provisionally accepted
Bintao  ZhengBintao Zheng1Liaoyuan  ZhangLiaoyuan Zhang1Jiaqi  ZhaoJiaqi Zhao2Yuan  LiYuan Li1Xianjie  XueXianjie Xue2Wenhui  SongWenhui Song2*
  • 1Sinopec Shengli Oilfield Co, Dongying, China
  • 2China University of Petroleum Beijing, Changping, China

The final, formatted version of the article will be published soon.

The complexities of evaluating permeability evolution during high-pressure waterflooding and subsequent production are primarily governed by rock mechanical damage and extensive micro-fracture deformation. In this study, we propose a general permeability evolution model for high-pressure waterflooding that incorporates the dual fractal characteristics of mechanical property and fracture structures. Both fracture aperture distribution and Young's modulus distribution are described using fractal scaling laws. For a given fractal unit with a specified Young's modulus, an analytical model is developed to quantify fracture aperture variation during elastic deformation and the failure process based on damage mechanics. The damage-induced reduction of Young's modulus after failure is further considered in the production stage, and an analytical solution for fracture-medium permeability is established through double integration within the framework of fractal geometry. A percolation-based effective-medium approximation is employed to calculate matrix-fracture permeability. The effects of fracture-related fractal properties, rock mechanics-related fractal properties, and reservoir properties (porosity, matrix permeability, minimum Young's modulus) on matrix-fracture permeability are systematically investigated. The key results demonstrate that matrix-fracture permeability is most strongly influenced by fracture fractal dimension and reservoir properties, particularly porosity, matrix permeability, and minimum Young's modulus.

Keywords: Permeability evolution, high-pressure waterflooding, Fracture, fractal geometry, analytical solution

Received: 07 Oct 2025; Accepted: 17 Dec 2025.

Copyright: © 2025 Zheng, Zhang, Zhao, Li, Xue and Song. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Wenhui Song

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