砂岩双轴压缩破坏模式的中间主应力效应研究

Investigating the effect of intermediate principal stress on sandstone failure modes under biaxial compression

  • 摘要: 为揭示砂岩双轴压缩破坏模式的中间主应力(σ?)效应,利用北京科技大学自主研发的双轴动静组合加载系统,配合声发射(AE)和全场三维数字图像相关(3D-DIC)系统,开展不同σ?梯度的砂岩双轴压缩试验,并基于AE参数、多重分形维计算、宏观破裂特征和表观应变场参数,分析砂岩双轴压缩破坏模式的中间主应力效应。结果表明:(1) σ?对双轴压缩下砂岩的力学特性展现出差异化约束效应,并初步确定20 MPa为中间主应力效应的临界转折点。(2)通过对AE参数的多重分形处理和RA-AF分布划分,发现低σ?水平(4-16 MPa)时,砂岩内部裂纹演化简单,剪切裂纹占比达60 %以上;临界σ?水平(20 MPa)时,砂岩内部裂纹出现较复杂演化,裂纹演化模式出现剧烈动荡,张拉裂纹占比超过剪切裂纹,达53 %;高σ?水平(24-36 MPa)时,砂岩内部裂纹表现出复杂演化,恢复剪切裂纹占比高于张拉裂纹占比。(3)通过对σ?加载面裂纹破坏特征和临空面表观应变主导区特征分析,发现低σ?水平(4-16 MPa)时,以剪切裂纹为主要破坏形式;临界σ?水平(20 MPa)时,以张拉裂纹为主要破坏形式;高σ?水平(24-36 MPa)时,σ?加载面产生大量张拉裂纹,表现出张拉-剪切共轭主导态势。研究表明:双轴压缩下砂岩的中间主应力效应具有显著的阶段性明确了20 MPa为σ?阶段性控制效应的临界转折点。

     

    Abstract: To investigate the intermediate principal stress (σ?) effect on the failure mode of sandstone under biaxial compression, biaxial compression tests with different σ? gradients were conducted using a custom-developed biaxial static-dynamic combined loading system (University of Science and Technology Beijing), integrated with synchronized acoustic emission (AE) monitoring and full-field three-dimensional digital image correlation (3D-DIC) techniques. Based on AE parameters, multifractal analysis, macroscopic fracture characteristics, and full-field strain evolution, the influence of σ? on the failure behavior of sandstone was systematically analyzed. The results indicate:(1) σ? exerts a distinct differential constraint effect on the mechanical properties of sandstone under biaxial compression, with early-to-mid-stage parameters (e.g., closure stress, elastic modulus) stabilizing and late-stage parameters (e.g., peak strength) enhancing with increasing σ?. A critical transition threshold for the σ? effect was identified at 20 MPa. (2) Multifractal analysis of AE parameters and RA-AF crack classification reveal that: at low σ? levels (4–16 MPa), crack evolution exhibits low complexity, with shear cracks dominating (>60%); at the critical σ? level (20 MPa), crack evolution undergoes a significant transition, characterized by increased spatiotemporal complexity and a dominance of tensile cracks (53%); at high σ? levels (24–36 MPa), crack evolution becomes more complex, with shear cracks regaining numerical dominance. (3) Analysis of fracture morphology on the σ?-loaded surface and strain localization on the free surface shows that: at low σ? levels, shear-dominated failure prevails; at the critical σ? level, tensile cracking becomes the primary failure mode; at high σ? levels, conjugate tensile-shear failure develops, accompanied by extensive tensile cracks on the σ?-loaded surface. The study demonstrates that the intermediate principal stress (σ?) effect on sandstone under biaxial compression exhibits significant staging characteristics, with 20 MPa identified as the critical transition threshold for σ?-controlled fracture mechanisms. These findings provide important insights for stability assessment of deep rock masses and design of high-stress rock engineering.

     

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