基于模糊综合与可变模糊集耦合的地下水质量评价
|
摘要
模糊综合评价法和可变模糊集方法是常用的地下水质量评价方法,但可变模糊集评价法的隶属度计算复杂、可变参数多,而模糊综合评价法容易造成隶属度信息丢失.本文在充分吸取两者优点的基础上,构建了一种新的耦合地下水质量评价模型,优化了评价因子选择、权重确定、模糊算子选择等关键环节,并对青岛市大沽河水源地的地下水质量进行了评价和分析对比.结果表明,水源地中北部(W7~W11)地区,硝酸盐氮含量严重超标,耦合模型得到的水质等级均为4或5类水,评价结果符合该区域实际水质状况,说明新建的耦合模型是可靠的.另外,从监测井W2、W3、W4、W7、W10、W11、W12获得的最大隶属度小于0.5,说明模糊综合评价法不适用于这些点的水质评价,而耦合模型综合考虑了其它隶属度值对评价结果的贡献,其结果更加科学、合理.
The fuzzy synthetic evaluation and the variable fuzzy sets are common methodsin groundwater quality evaluation. However,the membership calculation of the variable fuzzy sets is complicated and accompanied by many variable parameters. And the fuzzy synthetic evaluation may lose membership information. Combining with the advantages of these two methods,this paper establishes a new coupling model to evaluate groundwater quality.This model has several crucial improvements in selecting evaluation indices,calculating weighted values and choosing fuzzy synthetic operators. We applied this model in a case of groundwater quality evaluation for a groundwater source field in the Dagu River Basin of Qingdao and compared with other methods. The results indicate that the nitrate content of the mid-north areas( W7 ~ W11) exceeded the criterion seriously,with the evaluation level of water quality in the coupling model at 4 or 5. Therefore the evaluation results are consistent with the actual status,which demonstrates that the coupling model is reliable.Moreover,the largest membership of monitoring well W2,W3,W4,W7,W10,W11,and W12 are less than 0. 5 in the fuzzy synthetic evaluation,illustrating that the fuzzy synthetic evaluation is not suitable for these wells. The coupling model takes into account other memberships,which makes its results more scientific and reasonable.
The fuzzy synthetic evaluation and the variable fuzzy sets are common methodsin groundwater quality evaluation. However,the membership calculation of the variable fuzzy sets is complicated and accompanied by many variable parameters. And the fuzzy synthetic evaluation may lose membership information. Combining with the advantages of these two methods,this paper establishes a new coupling model to evaluate groundwater quality.This model has several crucial improvements in selecting evaluation indices,calculating weighted values and choosing fuzzy synthetic operators. We applied this model in a case of groundwater quality evaluation for a groundwater source field in the Dagu River Basin of Qingdao and compared with other methods. The results indicate that the nitrate content of the mid-north areas( W7 ~ W11) exceeded the criterion seriously,with the evaluation level of water quality in the coupling model at 4 or 5. Therefore the evaluation results are consistent with the actual status,which demonstrates that the coupling model is reliable.Moreover,the largest membership of monitoring well W2,W3,W4,W7,W10,W11,and W12 are less than 0. 5 in the fuzzy synthetic evaluation,illustrating that the fuzzy synthetic evaluation is not suitable for these wells. The coupling model takes into account other memberships,which makes its results more scientific and reasonable.
引文
陈守煜.1998.工程模糊集理论与应用[M].北京:国防工业出版社
陈守煜,李敏.2006.基于可变模糊集理论的水资源可再生能力评价模型[J].水利学报,37(4):431-435
Filev D,Yager R R.1998.On the issue of obtaining OWA operator weights[J].Fuzzy Sets and Systems,94(2):157-169
冯峰,许士国,周志琦,等.2007.模糊可变评价法在湿地水质评价中的应用[J].人民黄河,29(8):41-42
傅金祥,陈喆,马兴冠,等.2011.改良模糊综合评价法在水质评价中的应用[J].环境工程,29(6):120-123
韩玮,何明.2015.外源酶对秸秆堆肥进程的影响及腐熟度模糊评价[J].环境科学学报,35(11):3742-3749
李云排,周维博,刘雷,等.2014.基于改进可变模糊集的延河水质评价[J].人民黄河,36(4):59-64
李文君,邱林,陈晓楠,等.2011.基于集对分析与可变模糊集的河流生态健康评价模型[J].水利学报,42(7):775-782
李录娟,邹胜章.2014.不同权重确定方法对地下水质量评价的影响研究[J].人民长江,45(23):98-102
马玉杰,郑西来,李永霞,等.2009.地下水质量模糊综合评判法的改进与应用[J].中国矿业大学学报,38(5):745-750
王曼丽,何江涛,崔亚丰,等.2016.基于折减系数的地下水污染风险评价方法探究[J].环境科学学报,36(12):4510-4519
Wang W,Xu D,Chau K,et al.2014.Assessment of river water quality based on theory of variable fuzzy sets and fuzzy binary comparison method[J].Water Resources Management,28(12):4183-4200
Wang Y K,Sheng D,Wang D,et al.2014.Variable fuzzy sets theory toassess water quality of the meiliang bay in taihu lake basin[J].Water Resources Management,28(3):867-880
薛希龙,王新民,胡勇,等.2016.基于FAHP与可变模糊集的矿山生态安全效应评估[J].东北大学学报(自然科学版),37(1):94-99
杨伦标,高英仪,凌卫新.2011.模糊数学原理及其应用[M].广州:华南理工大学出版社
Yan F,Liu L.2014.Water quality assessment of the li canal using a functional fuzzy synthetic evaluation model[J].Environmental Science Processes&Impacts,16(7):1764-1771
Yan F,Liu L,Zhang Y,et al.2016.The research of dynamic variable fuzzy set assessment model in water quality evaluation[J].Water Resources Management,30(1):63-78
Yang Y,Zhou Z C,Bai Y Y,et al.2016.Risk assessment of heavy metal pollution in sediments of the fenghe river by the fuzzy synthetic evaluation model and multivariate statistical methods[J].Pedosphere,26(3):326-334
张祺,景朝霞,刘燚,等.2015.针对正态样本的模糊综合评价法在巢湖水质评价中的应用[J].环境工程,33(3):110-112
陈守煜,李敏.2006.基于可变模糊集理论的水资源可再生能力评价模型[J].水利学报,37(4):431-435
Filev D,Yager R R.1998.On the issue of obtaining OWA operator weights[J].Fuzzy Sets and Systems,94(2):157-169
冯峰,许士国,周志琦,等.2007.模糊可变评价法在湿地水质评价中的应用[J].人民黄河,29(8):41-42
傅金祥,陈喆,马兴冠,等.2011.改良模糊综合评价法在水质评价中的应用[J].环境工程,29(6):120-123
韩玮,何明.2015.外源酶对秸秆堆肥进程的影响及腐熟度模糊评价[J].环境科学学报,35(11):3742-3749
李云排,周维博,刘雷,等.2014.基于改进可变模糊集的延河水质评价[J].人民黄河,36(4):59-64
李文君,邱林,陈晓楠,等.2011.基于集对分析与可变模糊集的河流生态健康评价模型[J].水利学报,42(7):775-782
李录娟,邹胜章.2014.不同权重确定方法对地下水质量评价的影响研究[J].人民长江,45(23):98-102
马玉杰,郑西来,李永霞,等.2009.地下水质量模糊综合评判法的改进与应用[J].中国矿业大学学报,38(5):745-750
王曼丽,何江涛,崔亚丰,等.2016.基于折减系数的地下水污染风险评价方法探究[J].环境科学学报,36(12):4510-4519
Wang W,Xu D,Chau K,et al.2014.Assessment of river water quality based on theory of variable fuzzy sets and fuzzy binary comparison method[J].Water Resources Management,28(12):4183-4200
Wang Y K,Sheng D,Wang D,et al.2014.Variable fuzzy sets theory toassess water quality of the meiliang bay in taihu lake basin[J].Water Resources Management,28(3):867-880
薛希龙,王新民,胡勇,等.2016.基于FAHP与可变模糊集的矿山生态安全效应评估[J].东北大学学报(自然科学版),37(1):94-99
杨伦标,高英仪,凌卫新.2011.模糊数学原理及其应用[M].广州:华南理工大学出版社
Yan F,Liu L.2014.Water quality assessment of the li canal using a functional fuzzy synthetic evaluation model[J].Environmental Science Processes&Impacts,16(7):1764-1771
Yan F,Liu L,Zhang Y,et al.2016.The research of dynamic variable fuzzy set assessment model in water quality evaluation[J].Water Resources Management,30(1):63-78
Yang Y,Zhou Z C,Bai Y Y,et al.2016.Risk assessment of heavy metal pollution in sediments of the fenghe river by the fuzzy synthetic evaluation model and multivariate statistical methods[J].Pedosphere,26(3):326-334
张祺,景朝霞,刘燚,等.2015.针对正态样本的模糊综合评价法在巢湖水质评价中的应用[J].环境工程,33(3):110-112