一维流场中污染物浓度时空迁移转换的Plank分布公式
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摘要
类比黑体辐射分布的普朗克公式,提出一维流场中污染物(或示踪剂)浓度的时间过程线分布或污染物浓度值的倒数沿程变化的时空迁移转换规律均可用与Plank分布相似的公式描述。结合实测的河水污染物监测数据,采用免疫进化算法对公式中的参数进行优化,得出优化后的一维流场中的污染物浓度时空迁移转换的Plank公式。实例分析表明该公式具有意义明确、形式简洁、所含参数较少、易于计算、方便实用的特点。
To analogize the blackbody radiation formula,the time course line distribution or the change regulation along the way of the reciprocal of pollutant concentration in one-dimensional flow field can all be described with Plank' s distribution formula of space-time transition of the pollutant concentration. Combined with the measured monitoring data of pollutant in river water,the parameters in the formula were optimized by using immune evolutionary algorithm( IEA). Optimized Plank's formula of space-time transition of pollutant concentration in one-dimensional flow field can be obtained. Cases analysis showed that the formula was clear in meaning,simple in form,easy to calculation and had the feature with fewer parameters.
To analogize the blackbody radiation formula,the time course line distribution or the change regulation along the way of the reciprocal of pollutant concentration in one-dimensional flow field can all be described with Plank' s distribution formula of space-time transition of the pollutant concentration. Combined with the measured monitoring data of pollutant in river water,the parameters in the formula were optimized by using immune evolutionary algorithm( IEA). Optimized Plank's formula of space-time transition of pollutant concentration in one-dimensional flow field can be obtained. Cases analysis showed that the formula was clear in meaning,simple in form,easy to calculation and had the feature with fewer parameters.
引文
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[2]Sidauruk P,H-D A,Ouazar D.Ground water contaminant source and transport parameter identification by correlation coefficient optimization[J].Ground Water,1998,36(2):208-214.
[3]王久杰,常安定,郭建青,等.混沌差分算法在确定河流水质模型参数中的应用[J].水资源与水工程学报,2013,24(3):93-95,158.
[4]刘晓东,华祖林,谢增芳,等.一维河流水质模型多参数识别的反演优化通用算法[J].水力发电学报,2012,31(2):122-127.
[5]黄维,方俊华.河流中污染物迁移转化模型研究进展[J].南水北调与水利科技,2012,10(6):142-146,158.
[6]Singh S K,Beck M B.Dispersion coefficient of streams from tracer experiment data[J].J Environ Eng,2003,129(6):539-546.
[7]袁华,刘方,刘元会,等.利用单纯形——混沌优化算法确定河流水质模型参数[J].水资源保护,2013,29(6):44-48.
[8]Mulligan A E,Brown L C.Genetic algorithms for calibrating water quality models[J].Journal of Environmental Engineering,1998,124(3):202-211.
[9]Guo J Q,Zheng L.A modified simulated annealing algorithm for estimating solute transport parameters in streams from tracer experiment data[J].Environmental Modelling&Software,2005,20(6):811-815.
[10]Ng A W M,Pererab B J C.Selection of genetic algorithm operators for river water quality model calibration[J].Engineering Applications of Artificial Intelligence,2003,16:529-541.
[11]Yiu K F C,Liu Y,Teo K L.A hybrid descent method for global optimization[J].Journal of Global Optimization,2004,28(2):229-238.
[12]陈广洲,徐晓春,汪家权,等.改进的人工鱼群算法在水质参数识别中的应用[J].水力发电学报,2010,29(2):108-113.
[13]邓义祥,郑丙辉,富国,等.Bayes理论在河流水质模型参数识别中的应用[J].环境科学学报,2008,28(3):568-573.
[14]徐来自,张雪峰.量子论[M].北京:科学出版社,2012.
[15]郭建青.由河流实测资料估算耗氧系数与初始BOD浓度的线性回归法[J].中国给水排水,1990,6(1):42-44.
[16]黄明海,齐鄂荣,吴剑.遗传梯度法在水质数学模型参数估值的应用[J].环境科学学报,2002,22(3):315-319.