Groundwater flow and contamination studies Open access Peer reviewed

Super-Darcy flow behavior in fracture-confined porous media

Shuai Zhang, Qing Ma, Weiqiang Xie, Kai Liu and 5 more

Proceedings of the National Academy of Sciences | Jul 15, 2026

Abstract

Abstract

Particle deposition and migration within fractures can reorganize open void space into heterogeneous fracture-confined porous media (FCPM), yet the macroscopic flow behavior of these emergent systems remains unresolved. Here, Computational Fluid Dynamics–Discrete Element Method (CFD–DEM) simulations were used to resolve particle migration and deposition, whereas a coupled free-flow and seepage-flow model was employed to characterize fluid flow in FCPM. We find that at a fixed Reynolds number, modest particle deposition can lower the overall pressure drop relative to that of the initially open fracture. At high Reynolds numbers, the pressure drops across FCPM not only exceed Darcy’s law predictions (non-Darcy behavior) but, intriguingly, can also fall below them, which is a phenomenon we term super-Darcy behavior. This counterintuitive effect arises from flow exchange between the deposited porous region and the adjacent open region, which modifies eddy formation and growth, thereby broadening the main flow channel. This effect is pronounced when the permeability of the deposited porous region lies from 1 × 10 −12 to 1 × 10 −7 m 2 , identifying a permeability window in which deposition–migration most strongly couples pore-scale structure to fracture-scale hydraulics. This study reveals how particle deposition and transport govern macroscopic flow behavior in fractured channels, offering critical insights for fluid flow control and prediction from microfluidic devices to subsurface energy reservoirs.

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Authors

Researchers on this paper

Shuai Zhang

first | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering | ORCID 0000-0002-9649-4740

Qing Ma

middle | Space Engineering University | ORCID 0000-0001-7475-8154

Weiqiang Xie

middle | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

Kai Liu

middle | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering | ORCID 0000-0001-6718-6688

Yanlin Su

middle | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

Mingxin Zhao

middle | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

Zefan Wang

middle | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

Jinpeng Zhao

middle | Space Engineering University | ORCID 0000-0003-4661-1758

Xiaoli Liu

last | State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering

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Citation

BibTeX

@article{Zhang2026Super,
  title = {Super-Darcy flow behavior in fracture-confined porous media},
  author = {Shuai Zhang and Qing Ma and Weiqiang Xie and Kai Liu and Yanlin Su and Mingxin Zhao and Zefan Wang and Jinpeng Zhao and Xiaoli Liu},
  journal = {Proceedings of the National Academy of Sciences},
  year = {2026},
  doi = {10.1073/pnas.2613597123},
  url = {https://doi.org/10.1073/pnas.2613597123}
}

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