Fracture–Matrix Flow Partitioning Governs Retention Regime Transitions in Unsaturated Fractured Rock

Abstract Upscaling unsaturated flow in fractured rock remains challenging because fractures and matrix often exhibit sharply contrasting hydraulic behaviors across saturation states. Here, we demonstrate that unsaturated flow undergoes a transition between matrix‐ and fracture‐dominated regimes. Three‐dimensional direct numerical simulations reveal that this bimodal retention behavior emerges naturally from saturation‐dependent partitioning of flow between fractures and matrix. We analytically derive a generalized retention formulation that identifies a critical saturation marking the transition between the two distinct retention regimes and reproduces the bimodal behavior captured in the numerical simulations. An analytical expression for the critical pressure head is derived to represent the limiting case of fully connected fracture networks, providing a physically based transition criterion and showing good agreement with the numerical results for systems above the percolation threshold. Our results provide a mechanistic framework for understanding and upscaling unsaturated flow in fractured rock, with broad implications for hydrology and geophysics.

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Publication Details

Journal
Geophysical Research Letters
Published
2026-07-17
DOI
https://doi.org/10.1029/2026gl123310
Primary Topic
Groundwater flow and contamination studies
Type
article
Field-Weighted Citation Impact
0.00

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article

Fracture–Matrix Flow Partitioning Governs Retention Regime Transitions in Unsaturated Fractured Rock

Martin Ziegler, Qinghua Lei, Muhammad Andiva Pratama, C. Jiang
Geophysical Research Letters
Groundwater flow and contamination studies
article

Fracture–Matrix Flow Partitioning Governs Retention Regime Transitions in Unsaturated Fractured Rock

Martin Ziegler, Qinghua Lei, Muhammad Andiva Pratama, C. Jiang
article en

Abstract

Abstract Upscaling unsaturated flow in fractured rock remains challenging because fractures and matrix often exhibit sharply contrasting hydraulic behaviors across saturation states. Here, we demonstrate that unsaturated flow undergoes a transition between matrix‐ and fracture‐dominated regimes. Three‐dimensional direct numerical simulations reveal that this bimodal retention behavior emerges naturally from saturation‐dependent partitioning of flow between fractures and matrix. We analytically derive a generalized retention formulation that identifies a critical saturation marking the transition between the two distinct retention regimes and reproduces the bimodal behavior captured in the numerical simulations. An analytical expression for the critical pressure head is derived to represent the limiting case of fully connected fracture networks, providing a physically based transition criterion and showing good agreement with the numerical results for systems above the percolation threshold. Our results provide a mechanistic framework for understanding and upscaling unsaturated flow in fractured rock, with broad implications for hydrology and geophysics.

Geophysical Research LettersVol. 53(14)
Uppsala University (SE), Swisstom (Switzerland) (CH)
European Research Council
Openalex Percentile: Top 14%
Groundwater flow and contamination studies
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