基于PB+CCD设计法在PFC3D数值模型细观参数标定研究
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贵州民族大学建筑工程学院

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TU456

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贵州省省级科技计划项目(黔科合基础-ZK[2021]一般288


Research on mesoscopic parameter calibration of PFC3D numerical model based on PB+CCD design method
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School of Architecture and Engineering, Guizhou University for Nationalities

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    摘要:

    采用离散单元法分析岩石物理力学特性时,为了使数值模拟的宏观参数满足分析要求,需对细观参数进行参数标定。本文首先以单轴压缩和巴西劈裂试验的颗粒流模型模拟物理试验,利用Plackett-Burman设计(PB设计)方法筛选出对宏观力学参数影响最为显著的细观参数,得到细观参数与宏观力学参数的线性关系式。然后以此为基础采用中心组合设计(CCD设计)方法得出细观参数对宏观力学参数的响应性效果,以及细观参数与宏观参数的非线性关系式,并联立线性与非线性关系式进行多目标规划问题求解。最后基于室内试验结果进行多目标规划问题求解,验证数值模拟结果的准确性。结果表明:细观参数平行黏结黏聚力 和平行黏结抗拉强度 对岩石单轴抗压强度与抗拉强度影响最为显著,皆呈现正相关关系;平行黏结模量 和平行黏结刚度比 对岩石弹性模量影响最为显著, 对岩石弹性模量呈现正相关关系,而 呈现负相关关系; 对岩石泊松比影响最为显著,呈现正相关关系。

    Abstract:

    When analyzing the physical and mechanical properties of rocks using the discrete element method, it is necessary to calibrate the micro-scale parameters in order to ensure that the macroscopic parameters in numerical simulations meet the analysis requirements. In this study, a particle flow model based on uniaxial compression and Brazilian splitting tests was used to simulate physical experiments, and the Plackett-Burman design (PB design) method was employed to screen out the micro-scale parameters that have the most significant influence on the macroscopic mechanical parameters. Linear equations describing the relationship between the micro-scale parameters and the macroscopic mechanical parameters were obtained. Then, based on these equations, the central composite design (CCD design) method was used to determine the responsiveness of the micro-scale parameters to the macroscopic mechanical parameters, as well as the non-linear relationship between the micro-scale parameters and the macroscopic parameters. Linear and non-linear equations were simultaneously solved to address the multi-objective optimization problem. Finally, the numerical simulation results were validated by comparing them with indoor experimental results. The results showed that and in parallel bonding have the most significant impact on the uniaxial compressive strength and tensile strength of rocks, and exhibit a positive correlation. and have the most significant influence on the elastic modulus of rocks, where shows a positive correlation with the elastic modulus, while shows a negative correlation. Moreover, has the most significant impact on the Poisson's ratio of rocks and exhibits a positive correlation.

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徐超华,张搏. 基于PB+CCD设计法在PFC3D数值模型细观参数标定研究[J]. 科学技术与工程, , ():

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  • 收稿日期:2023-10-13
  • 最后修改日期:2024-05-22
  • 录用日期:2024-05-29
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