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    一种改进的算术优化算法及其在水文地质参数智能反演中的应用

    An Improved Arithmetic Optimization Algorithm and Its Application to the Intelligent Inversion of Hydrogeological Parameters

    • 摘要: 水文地质参数的高效、准确、智能化获取对地下水资源科学管理和地下工程安全建设具有重要意义,因此提出一种新的水文地质参数智能反演方法.首先,提出了改进的算术优化算法(Chaotic Simplex Arithmetic Optimization Algorithm,CSAOA),在搜索空间中使用混沌理论初始化粒子位置,引入随机优化的超参数自适应调整策略,同时使用单纯形法优化粒子位置更新法则,进一步提高算法的局部开发能力和勘探能力,减小算法陷入局部最优的概率.其次,选取8个基准函数进行数值实验,结果表明CSAOA算法在前期勘探收敛速度和后期局部开发收敛精度方面优于其他对比算法.再次,将传统的人工配线法转化为基于优化算法的全局最优化问题,构建基于CSAOA算法的水文地质参数反演模型,提出了基于CSAOA算法的水文地质参数智能反演方法.最后,将该方法应用于泰斯和汉图什井流模型参数反演实例进行验证,快速准确反演得到了水文地质参数,实现了水文地质参数智能识别.结果证实了该方法的可靠性与先进性,为解决水文地质参数反演问题提供了一种新的方案.

       

      Abstract: It is of great significance to acquire hydrogeological parameters efficiently,accurately and intelligently in the scientific management of groundwater resources and the safety construction of underground engineering.In this study,a novel intelligent inversion method of hydrogeological parameters is proposed.First,an improved arithmetic optimization algorithm (Chaotic Simplex Arithmetic Optimization Algorithm,CSAOA) is proposed.Chaos theory is used to initialize the particle positions in the search space.An adaptive adjustment strategy of hyperparameter based on stochastic optimization is introduced.Meanwhile,the simplex method is used to optimize the updating rule of particle positions,which further improves the local exploitation and exploration capability of the algorithm and reduces the probability of the algorithm falling into local optimum Then 8 benchmark functions are selected for numerical experiments.The results show that the CSAOA is superior to other comparison algorithms in early exploration speed and late local exploitation accuracy.In addition,the traditional manual type curve method is transformed into a global optimization problem based on optimization algorithm.The inversion model of hydrogeological parameters based on CSAOA is constructed,and an intelligent inversion method of hydrogeological parameters based on CSAOA is proposed.Finally,the method is validated in the parameter inversion examples of Theis and Hantush well flow models.Hydrogeological parameters are obtained quickly and accurately,and the intelligent identification of hydrogeological parameters is achieved.The results confirm the reliability and advancement of the method,and provide a new scheme for solving the inversion problem of hydrogeological parameters.

       

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