ISSN 1000-3665 CN 11-2202/P

    基于自适应差分混合蝴蝶粒子优化算法的渗透系数反演

    Inversion of permeability coefficient based on adaptive differential hybrid butterfly particle algorithm

    • 摘要: 准确获取渗透系数等含水层水文参数是矿井水害防治的前提,但传统配线法、图解法等反演方法在计算速度、结果精度等方面表现略差。为提升含水层参数反演计算的可靠性,此次研究针对水文地质参数本身特性,设计了一种新的渗透系数反演模型,即自适应差分混合蝴蝶粒子算法(adaptive differential hybrid butterfly particle algorithm,ADHBPA)。模型采用拉丁超立方采样策略、双曲余弦自适应函数、差分变异策略以及逐维变异策略进行算法优化,克服了水文地质参数反演过程中的空间异质性和时间动态性等问题,提高全局搜索与局部搜索间的平衡能力。以板集矿区24 口钻孔抽水试验数据为例开展验证,结果显示,ADHBPA模型计算降深与观测降深拟合最大误差为0.93 m,平均误差率仅0.15%,其余算法平均误差率均在30%~50%,表明多策略协同优化显著增强了算法跳出局部最优的能力,实现了有限数据前提下对含水层渗透系数的快速高精度反演。该算法为矿井水害风险评价与防治水方案制定提供了高效可靠的技术支撑。

       

      Abstract: Accurate determination of aquifer hydrological parameters, such as permeability coefficient, is essential for effective mine water hazard prevention and control. However, traditional inversion methods such as the fitting curve method and graphical method exhibit shortcomings in computational speed and accuracy. To enhance the reliability of aquifer parameter inversion calculations, this study proposed a novel permeability coefficient inversion model, the Adaptive Differential Hybrid Butterfly Particle Algorithm (ADHBPA), specifically tailored to the characteristics of hydrogeological parameters. The model incorporates Latin hypercube sampling, a hyperbolic cosine adaptive function, differential mutation strategy, and dimension-wise variation strategy. The model effectively addressed the spatial heterogeneity and temporal dynamics inherent in hydrogeological parameter inversion, thereby improving the balance between global exploration and local exploitation. Using the pumping test data from 24 boreholes in the Banji mining area, the ADHBPA model achieved a maximum inversion error of 0.93 m and an average error rate of just 0.15%. In contrast, conventional algorithms produced average error rates ranging from 30% to 50%. These results highlight the algorithm's strong capability in avoiding local optima and performing high-precision parameter inversion, even under data-scarce conditions. The proposed algorithm provides efficient and reliable technical support for mine water hazard risk assessment and water control planning.

       

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