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Characterization and modeling methodology for fractal porous media in natural reservoirs: A comprehensive solution

Author

Listed:
  • Jin, Yi
  • Liu, Dandan
  • Zheng, Junling
  • Dong, Jiabin
  • Zhao, Mengyu
  • Hu, Zhazha
  • Wang, Qian
  • Wang, Zhenzhi
  • Liu, Gaofeng

Abstract

Effective characterization of complex pore structures is of vital importance for the accurate estimation of the transport properties of natural reservoirs. However, natural porous media always feature characteristics of multifractality, multi-geometry coupling, and random distribution that make the task challenging, including identification of the original complexity, unique definition of the behavioral complexity, clarification of the complexity assembly pattern, and development of an effective characterization algorithm for different complexities. In this study, we constructed a general fractal topology (initially termed fractal topography) system to define behavioral complexity in fractal porous media (FPM), identified the complexity assembly pattern of FPM featuring multifractality, established a mathematical framework to characterize arbitrary FPM, and then proposed a comprehensive solution to construct arbitrary FPM, which integrates a multi-geometry model to generalize the characterization of original complexity and an inversion algorithm to uniquely define behavioral complexity. The generalization of our solution was demonstrated by modeling pore structures with arbitrary geometric and fractal types, and its adaptability was verified by the reconstruction of fractal porous, fractured, and dual-porosity media existing in natural reservoirs. This study advances the theory and methodology for the digital twin of FPM, establishing a foundation to accurately estimate the static properties and dynamic performance of natural reservoirs numerically.

Suggested Citation

  • Jin, Yi & Liu, Dandan & Zheng, Junling & Dong, Jiabin & Zhao, Mengyu & Hu, Zhazha & Wang, Qian & Wang, Zhenzhi & Liu, Gaofeng, 2026. "Characterization and modeling methodology for fractal porous media in natural reservoirs: A comprehensive solution," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925016480
    DOI: 10.1016/j.chaos.2025.117635
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    References listed on IDEAS

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    1. Jin, Yi & Zheng, Junling & Liu, Xianhe & Pan, Jienan & Liu, Shunxi, 2019. "Control mechanisms of self-affine, rough cleat networks on flow dynamics in coal reservoir," Energy, Elsevier, vol. 189(C).
    2. Salat, Hadrien & Murcio, Roberto & Arcaute, Elsa, 2017. "Multifractal methodology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 467-487.
    3. Yi Jin & Ben Zhao & Yunhang Yang & Jiabin Dong & Huibo Song & Yunqing Tian & Jienan Pan, 2024. "Intelligent Extraction Of Complexity Types In Fractal Reservoir And Its Significance To Estimate Transport Property," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(03), pages 1-15.
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