<p>Underground excavation in water-rich rock masses necessitates addressing the risks of rock degradation and instability induced by hydro-mechanical (H-M) coupling. This study simulated the in situ stress conditions of shallow to medium-depth surrounding rock (800–1500m) and conducted a series of triaxial compression tests on water-saturated sandstone under various H-M coupling gradients (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\sigma }_{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation>= 10–20 MPa; <i>P</i><sub>w</sub> = 2–12 MPa), investigating the mechanical behavior, permeability evolution, energy dissipation, and damage characteristics under H-M interaction. The results indicate that with increasing H-M coupling intensity, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\sigma }_{\text{cc}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mtext>cc</mtext> </msub> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\sigma }_{\text{ci}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mtext>ci</mtext> </msub> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\sigma }_{\text{cd}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mtext>cd</mtext> </msub> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\({\sigma }_{\text{cp}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mtext>cp</mtext> </msub> </math></EquationSource> </InlineEquation> and <i>E</i><sub>0</sub> exhibit decreasing trends, with their reduction rates positively correlated with confining pressure; meanwhile, <i>ν</i>, <i>K</i><sub>cr</sub>, and <i>K</i><sub>cp</sub> increase, with the growth rate of <i>ν</i> being positively correlated to confining pressure, while those of <i>K</i><sub>cr</sub> and <i>K</i><sub>cp</sub> are negatively correlated. Energy competition demonstrates nonlinear behavior, well characterized by a quadratic function. Energy dissipation exhibits multi-stage threshold characteristics, including a polarity reversal near the volumetric strain inflection point (<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({\overline{\varepsilon }}_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover> <mi>ε</mi> <mo>¯</mo> </mover> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>≈54.53%), consistent with Griffith’s energy criterion. A dual-threshold damage model incorporating an energy breakthrough mechanism for crack propagation is proposed. Compared to existing models, it more accurately captures the full-range nonlinear deformation behavior (<i>MAE</i> = 1.4%) and systematically reveals the synergy between micro-crack initiation and macro-crack propagation. The results provide critical theoretical support for disaster prevention and control in rock engineering and offer new insights into modeling H-M coupled damage in rock masses.</p>

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Mechanical Behavior and Dual-Threshold Damage Model of Water-Saturated Sandstone Under Hydro-Mechanical (H-M) Coupling

  • Weiji Sun,
  • Guotao Shi,
  • Yangqi Ma,
  • Mengru Hou,
  • Bo Liang

摘要

Underground excavation in water-rich rock masses necessitates addressing the risks of rock degradation and instability induced by hydro-mechanical (H-M) coupling. This study simulated the in situ stress conditions of shallow to medium-depth surrounding rock (800–1500m) and conducted a series of triaxial compression tests on water-saturated sandstone under various H-M coupling gradients ( \({\sigma }_{3}\) σ 3 = 10–20 MPa; Pw = 2–12 MPa), investigating the mechanical behavior, permeability evolution, energy dissipation, and damage characteristics under H-M interaction. The results indicate that with increasing H-M coupling intensity, \({\sigma }_{\text{cc}}\) σ cc , \({\sigma }_{\text{ci}}\) σ ci , \({\sigma }_{\text{cd}}\) σ cd , \({\sigma }_{\text{cp}}\) σ cp and E0 exhibit decreasing trends, with their reduction rates positively correlated with confining pressure; meanwhile, ν, Kcr, and Kcp increase, with the growth rate of ν being positively correlated to confining pressure, while those of Kcr and Kcp are negatively correlated. Energy competition demonstrates nonlinear behavior, well characterized by a quadratic function. Energy dissipation exhibits multi-stage threshold characteristics, including a polarity reversal near the volumetric strain inflection point ( \({\overline{\varepsilon }}_{1}\) ε ¯ 1 ≈54.53%), consistent with Griffith’s energy criterion. A dual-threshold damage model incorporating an energy breakthrough mechanism for crack propagation is proposed. Compared to existing models, it more accurately captures the full-range nonlinear deformation behavior (MAE = 1.4%) and systematically reveals the synergy between micro-crack initiation and macro-crack propagation. The results provide critical theoretical support for disaster prevention and control in rock engineering and offer new insights into modeling H-M coupled damage in rock masses.