基于花朵授粉优化算法的岩体三维裂隙网络模拟研究

    STUDY ON THREE-DIMENSIONAL FRACTURE NETWORK SIMULATION OF ROCK MASS BASED ON FLOWER POLLINATION OPTIMIZATION ALGORITHM

    • 摘要: 裂隙及其组合形式(岩体结构)是影响岩体完整性、渗透性、物理力学性质及稳定性的关键因素,精细刻画岩体结构对掌握岩体的工程特性具有重要意义。岩体三维裂隙网络模型能够精确且全面地反映岩体内部的三维裂隙展布特征,因此成为表征岩体结构最常用的方法。然而准确描述裂隙存在两个难题,一是裂隙直径难以直接测量,理论假设和迹长校正给估算裂隙直径带来误差;二是误差传播导致推求的裂隙三维密度准确性较低。为解决上述问题,本文提出一种基于花朵授粉优化算法的岩体三维裂隙网络建模方法,通过构建合适的目标函数,开展三维裂隙网络模型的迭代优化,获得裂隙几何参数的最优解,实现岩体结构的精细表征。为了验证该方法的有效性,设计一个裂隙直径分别服从对数正态分布和负指数分布的模拟算例进行验证,并将计算的裂隙参数与初始设定值和Zhang et al.(2000)方法的计算结果进行比较,结果表明本文方法的相对误差明显较小。最后将该方法应用于长江三峡工程,构建了地下电站厂房围岩的三维裂隙网络模型。该方法能够实现岩体结构的精细表征,为进一步开展工程岩体的力学特性、渗透性和稳定性研究奠定基础。

       

      Abstract: Fractures and their combinations (i.e.,rock mass structures) are key factors influencing the integrity, permeability, physical and mechanical properties, and stability of rock masses. Accurate characterization of rock mass structure is therefore essential for understanding the engineering behavior of rock masses. The 3D fracture network model, capable of representing the spatial distribution of fractures inside a rock mass accurately and comprehensively, has become a widely used method for characterizing rock mass structures. However, accurately modeling fractures faces two major challenges: first, it is difficult to measure fracture diameter directly, as theoretical assumptions and trace length corrections introduce errors in estimating this parameter; second, error propagation leads to low accuracy in estimating the three-dimensional fracture density. To address these issues, this paper proposes a 3D fracture network modeling method for rock masses based on the flower pollination optimization algorithm. By constructing a suitable objective function, the method iteratively optimizes the 3D fracture network model to obtain optimal solutions for fracture geometric parameters, enabling refined characterization of rock mass structure. To validate the effectiveness of the proposed method, a simulation case was designed with fracture diameters following log-normal and negative exponential distributions. The computed fracture parameters were compared with initially set values and with results from Zhang's method,demonstrating that the relative error of the proposed method is significantly smaller. Finally, the method was applied to the Three Gorges Project to construct a fracture network model for the underground powerhouse. This approach allows for detailed characterization of rock mass structure and provides a foundation for further research on the mechanical properties, permeability, and stability of engineering rock masses.

       

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