<p>Groundwater inflow constitutes a critical challenge in rock tunnel engineering. This study systematically investigates the coupled effects of fracture spatial distribution and rock matrix permeability on tunnel water inflow using a novel embedded discrete fracture model based method. A set of quadratic regression models is established to delineate the relationship between inflow rate and fracture distribution parameters over a wide range of fracture-to-matrix permeability ratios (<i>k</i><sub>f</sub>/<i>k</i><sub>m</sub>). Results demonstrate that fracture aperture, spacing, and their interaction dominate the inflow across all permeability ratios. Analysis of variance further reveals a threshold-dependent behavior: coupled effects are significant below a critical <i>k</i><sub>f</sub>/<i>k</i><sub>m</sub> value but decay markedly above it. This threshold decreases with larger aperture and increases with wider spacing, yet remains nearly independent of fracture dip angle. Moreover, when <i>k</i><sub>f</sub>/<i>k</i><sub>m</sub> is below the threshold, aperture and spacing exert greater influence on tunnel inflow at lower permeability ratios, while <i>k</i><sub>f</sub>/<i>k</i><sub>m</sub> gains influence under larger apertures and smaller spacings. Finally, a case study of Nanwan Tunnel shows that matrix permeability plays a dual role—increasing the mean inflow rate while reducing uncertainty from stochastic fracture distribution.</p>

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Coupled effects of fracture spatial distribution and rock matrix permeability on tunnel water inflow: An embedded discrete fracture model based investigation

  • Yu Zhang,
  • Xiaojun Li,
  • Tao Li,
  • Hehua Zhu,
  • Yi Rui

摘要

Groundwater inflow constitutes a critical challenge in rock tunnel engineering. This study systematically investigates the coupled effects of fracture spatial distribution and rock matrix permeability on tunnel water inflow using a novel embedded discrete fracture model based method. A set of quadratic regression models is established to delineate the relationship between inflow rate and fracture distribution parameters over a wide range of fracture-to-matrix permeability ratios (kf/km). Results demonstrate that fracture aperture, spacing, and their interaction dominate the inflow across all permeability ratios. Analysis of variance further reveals a threshold-dependent behavior: coupled effects are significant below a critical kf/km value but decay markedly above it. This threshold decreases with larger aperture and increases with wider spacing, yet remains nearly independent of fracture dip angle. Moreover, when kf/km is below the threshold, aperture and spacing exert greater influence on tunnel inflow at lower permeability ratios, while kf/km gains influence under larger apertures and smaller spacings. Finally, a case study of Nanwan Tunnel shows that matrix permeability plays a dual role—increasing the mean inflow rate while reducing uncertainty from stochastic fracture distribution.