陈可京. 贯通裂隙岩体变形模量各向异性的解析评估方法[J]. 南昌航空大学学报(自然科学版),2026,40(4):90-99,108. doi: 10.3969/j.issn.2096-8566.2026.04.009
引用本文: 陈可京. 贯通裂隙岩体变形模量各向异性的解析评估方法[J]. 南昌航空大学学报(自然科学版),2026,40(4):90-99,108. doi: 10.3969/j.issn.2096-8566.2026.04.009
Chen Kejing. Analytical evaluation method for deformation modulus anisotropy of rock masses with persistent fractures[J]. Journal of Nanchang Hangkong University (Natural Sciences),2026,40(4):90-99,108. doi: 10.3969/j.issn.2096-8566.2026.04.009
Citation: Chen Kejing. Analytical evaluation method for deformation modulus anisotropy of rock masses with persistent fractures[J]. Journal of Nanchang Hangkong University (Natural Sciences),2026,40(4):90-99,108. doi: 10.3969/j.issn.2096-8566.2026.04.009

贯通裂隙岩体变形模量各向异性的解析评估方法

Analytical Evaluation Method for Deformation Modulus Anisotropy of Rock Masses with Persistent Fractures

  • 摘要: 本文提出一种考虑围压影响的裂隙岩体等效弹性模量计算方法,旨在量化裂隙岩体的各向异性特征,为工程岩体变形分析提供理论依据。以现场实测的裂隙几何特征与岩体等效弹性模量为输入,反演得到裂隙法向刚度(Kn)、切向刚度(Ks),综合完整岩石的力学性质与裂隙参数,构建岩体柔度矩阵,推导等效弹性模量。以弹性模量各向异性指数(IE)和剪切模量各向异性指数(IG)分析各向异性程度,IE和IG值越大,各向异性程度越高。经对比,解析法计算的等效弹性模量与离散元通用程序UDEC的模拟结果拟合良好,拟合度(R2)最小值为0.89,表明方法可靠性高;解析法与数值模拟法所得IE和IG值接近,绝对百分比误差≤10.43%。该方法可有效获取实际工程中裂隙岩体的柔度矩阵,为岩体变形提供理论依据。

     

    Abstract: This paper proposes a method for calculating the equivalent elastic modulus of fractured rock masses that accounts for the influence of confining pressure. It aims to quantify the anisotropic characteristics of fractured rock masses, providing a theoretical basis for engineering deformation analysis. Using field-measured fracture geometry and the rock mass's equivalent elastic modulus as inputs, the fracture normal stiffness (Kn) and shear stiffness (Ks) are inverted. This study integrates the mechanical properties of intact rock with fracture parameters to construct a rock mass compliance matrix and derive the equivalent elastic modulus. The degree of anisotropy is analyzed using the elastic modulus anisotropy index (IE) and shear modulus anisotropy index (IG), where higher values indicate greater anisotropy. Comparison shows that the equivalent elastic modulus calculated by the analytical method fits well with the simulation results from the universal discrete element code (UDEC), with a minimum coefficient of determination (R2) of 0.89, indicating high reliability. The analytical and numerical simulation-derived IE and IG values show close agreement, with absolute percentage error ≤10.43%. This method can effectively obtain the compliance matrix of fractured rock masses in actual engineering projects, providing a theoretical basis for rock mass deformation.

     

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