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张慧梅, 马志敏, 陈世官, 王赋宇.正交-响应面法在PBM细观参数标定中的应用水资源与水工程学报[J].,2024,35(2):183-191
正交-响应面法在PBM细观参数标定中的应用
Application of orthogonal-response surface method to PBM mesoscopic parameter calibration
  
DOI:10.11705/j.issn.1672-643X.2024.02.21
中文关键词:  细观参数标定  正交-响应面法  平行黏结模型  二维颗粒流程序 (PFC2D)
英文关键词:mesoscopic parameter calibration  orthogonal-response surface method  parallel bond model (PBM)  particle flow code in two dimensions (PFC2D)
基金项目:国家自然科学基金项目(12172280)
作者单位
张慧梅1, 马志敏2, 陈世官2, 王赋宇2 (1.西安科技大学 理学院, 陕西 西安710054 2.西安科技大学 建筑与土木工程学院, 陕西 西安 710054) 
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中文摘要:
      数值模拟作为研究岩石力学特性、再现细观裂纹演化的主要途径,已受到大量关注。现有的数值模拟参数标定方法主要为试错法及正交试验法,但二者都未能充分考虑细观参数交互作用的影响,模拟精度欠佳且宏观破坏形态与室内试验存在较大差异。因此,采用正交-响应面法相结合的数值分析方法,首先通过正交试验筛选出具有显著影响的平行黏结模型(PBM)细观参数,其次应用响应面法(RSM)研究其交互作用对模型试样宏观参量的影响规律,最后结合岩石宏观破坏形态提出一套PBM参数标定流程。结果表明:有效模量E*与刚度比kn/ks对弹性模量E影响显著;kn/ks、接触摩擦系数μ、最小颗粒半径Rmin对泊松比ν影响显著;黏聚力c与法向黏结强度σc及其交互作用对单轴抗压强度UCS影响显著,应用响应面法计算分析得出的细观参数的模拟值与试验值误差绝对值小于7%,且二者应力应变曲线力学特征相似,宏观破坏形态相同,证明所提出的PBM细观参数标定流程具备科学性和可靠性。
英文摘要:
      As the main approach to studying the rock mechanical properties and revealing the evolution of meso-cracks, numerical simulation methods are widely adopted and discussed. The existing numerical simulation parameter calibration methods are mainly trial-and-error methods and orthogonal test methods, both of which fail to fully consider the influence of mesoscopic parameter interactions, resulting in inaccurate simulation results and inconsistency with laboratory tests in terms of macroscopic failure modes. Therefore, the numerical analysis method combining orthogonal-response surface method is adopted. Firstly, the parallel bond model (PBM) mesoscopic parameters with significant influence are selected by orthogonal test. Secondly, the response surface method (RSM) is used to study the influence of the interactions between mesoscopic parameters on the macroscopic parameters of the model sample. Finally, a set of PBM parameter calibration process is proposed in combination with the macroscopic failure morphology of the rock. The results show that effective modulus (E*), stiffness ratio (kn/ks) and their interactions have significant effects on elastic modulus (E); kn/ks, contact friction coefficient (μ) and minimum particle radius (Rmin) have a significant effect on Poisson’s ratio (ν); the influence of cohesion (c), normal bond strength (σc) and their interactions on uniaxial compressive strength (UCS) is significant. The error between the simulated results by RSM and experimental results of the references of the mesoscopic parameters is less than 7%, the characteristics of the stress-strain curves of the two are consistent, and the macroscopic failure modes are the same, which proves that the proposed calibration process of PBM mesoscopic parameters is accurate and reliable.
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