Super-Darcy flow behavior in fracture-confined porous media

S Shuai Zhang Q Qing Ma (DND-CAT, Synchrotron Research Center, Northwestern University, Evanston, Illinois 60208, United States) W Weiqiang Xie (State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University) K Kai Liu Y Yanlin Su (State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University) M Mingxin Zhao (State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University) Z Zefan Wang (State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University) J Jinpeng Zhao (Beijing Key Laboratory of Urban Underground Space Engineering, and Resource and Safety Engineering School, Department of Resource Engineering, University of Science and Technology Beijing) X Xiaoli Liu

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.

Article Details

Volume / Issue Vol. 123, Issue 29
Published July 21, 2026
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (9)

S

Shuai Zhang

Q

Qing Ma

DND-CAT, Synchrotron Research Center, Northwestern University, Evanston, Illinois 60208, United States

W

Weiqiang Xie

State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University

K

Kai Liu

Y

Yanlin Su

State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University

M

Mingxin Zhao

State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University

Z

Zefan Wang

State Key Laboratory of Hydroscience and Engineering, Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources, and Department of Hydraulic Engineering, Tsinghua University

J

Jinpeng Zhao

Beijing Key Laboratory of Urban Underground Space Engineering, and Resource and Safety Engineering School, Department of Resource Engineering, University of Science and Technology Beijing

X

Xiaoli Liu