自适应差分进化算法在反求含水层参数中的应用  

Application of adaptive differential evolution algorithm in reversing aquifer parameters

作　　者：陈童 常安定[1] 李江杰 吴田军[1] CHEN Tong;CHANG Anding;LI Jiangjie;WU Tianjun(College of Science,Chang’an University,Xi’an,Shaanxi 710064,China)

机构地区：[1]长安大学理学院

出　　处：《西北农林科技大学学报（自然科学版）》2020年第2期143-147,154,共6页Journal of Northwest A&F University(Natural Science Edition)

基　　金：国家自然科学基金项目(41601437)

摘　　要：【目的】研究自适应差分进化算法在反求含水层参数中的适用性。【方法】以理论计算值与实际观测值的离差平方和的均值作为目标函数,应用自适应差分进化算法优化待估含水层参数;计算相关实例,对比改进直线图解法、混沌序列优化算法、简算法、泰斯配线法、线性回归法与自适应差分进化算法的最终优化结果。【结果】与改进直线图解法、混沌序列优化算法和简算法等计算方法相比,自适应差分进化算法的计算结果更加精确,与实际观测值的差异较小;对于不同的含水层参数取值范围,自适应差分进化算法较传统差分进化算法稳定且寻优率与计算结果精度更高。【结论】自适应差分进化算法是一种有效的反求含水层参数的方法。【Objective】This study researched the applicability of adaptive differential evolution algorithm in reversing aquifer parameters.【Method】Taking the mean of square summation of deviations between theoretical and observed values as the objective function,an adaptive differential evolution algorithm was applied to optimize the estimation of aquifer parameters.Based on related examples,it was compared with the adaptive differential evolution algorithm,improved linear graph algorithm,chaotic sequence optimization algorithm,simplified algorithm,Tess matching method,and linear regression method.【Result】The calculation results of adaptive differential evolution algorithm had small difference with actual observations and were more accurate than those of improved linear graphic method,chaotic sequence optimization algorithm,simple algorithm,Tess wiring method and linear regression method.Adaptive differential evolution algorithm had the advantages of high stabilization,high optimal rate and high calculation accuracy for different ranges of aquifer parameters.【Conclusion】The adaptive differential evolution algorithm is an effective method to reverse aquifer parameters.

关 键 词：含水层参数 泰斯公式 差分进化算法 自适应差分进化算法 

分 类 号：O224[理学—运筹学与控制论]