设施选址对提高居民生活质量至关重要,利用地理可达相似性聚类对空间元素进行分类是求解此类问题的重要方法。然而,现有的应用于地理可达性分析的聚类算法存在地理可达性测度不准确、不涉及簇中心选取或簇中心不可达等缺陷,不能有效求...设施选址对提高居民生活质量至关重要,利用地理可达相似性聚类对空间元素进行分类是求解此类问题的重要方法。然而,现有的应用于地理可达性分析的聚类算法存在地理可达性测度不准确、不涉及簇中心选取或簇中心不可达等缺陷,不能有效求解真实场景下的设施选址问题。基于此,本文提出一种基于可达距离的模糊C均值聚类算法(Fuzzy C-Means based on Reachable Distance,FCM-RD)。FCM-RD算法改造了经典FCM算法的目标函数、隶属度函数和簇中心函数,使其适用基于可达距离的聚类分析。其次,以沿路网的最短路径距离作为可达距离衡量元素间的地理可达相似性,将聚类元素的二维地理坐标映射为路网坐标,并以此设计簇中心迭代机制,实现在聚类过程中以可达距离迭代不受约束的可达簇中心。同时,对所提簇中心迭代机制的有效性进行理论分析和实验验证,结果表明,FCM-RD算法在每次迭代中所选的各簇簇中心唯一且为当前簇类目标函数最小值点。最后,基于真实地理场景的仿真实验表明,相比基准算法,FCM-RD不仅能获得位置不受限的可达簇中心,而且能获得更好的聚类效果,为实际场景下的地理空间聚类方案提供了有效且精准的解决方案。展开更多
The karst groundwater of Cambrian limestone may become an important water source for industry and agriculture in the Pingdingshan area,and is also a potential threat to mining safety.Therefore,to find out the origin,f...The karst groundwater of Cambrian limestone may become an important water source for industry and agriculture in the Pingdingshan area,and is also a potential threat to mining safety.Therefore,to find out the origin,flow paths,and hydrogeochemical processes of karst groundwater beneath the Pingdingshan coalfield,a total of 16 water samples were collected.Our findings confirmed that the karst groundwater is mainly recharged by precipitation.The precipitation can directly supply the deep aquifer of the karst water system through the southwest limestone outcrops,and this area mostly includes the southern part of mines No.11,No.9,and the hidden outcrops in the southern part of mine No.2.What is more,the areas adjacent to the synclinal axis,including mines No.10,No.12,and No.8,may be the main discharge areas.A mixing model of^(87)Sr/^(86)Sr and Sr showed that in the southwest Pingdingshan coalfield,the proportion of precipitation decreased gradually from the recharge area to the discharge area,ranging from 89.1%to 17.1%.Besides,the northeast Pingdingshan coalfield is another recharge area for the whole karst system,thus,the infiltrating groundwater will indirectly supply the deep aquifer through Quaternary deposition near the mine No.13.Our research results can provide theoretical support for the prevention and control of groundwater disasters and the development and utilization of regional groundwater resources in the coalfield in Northern China.展开更多
文摘设施选址对提高居民生活质量至关重要,利用地理可达相似性聚类对空间元素进行分类是求解此类问题的重要方法。然而,现有的应用于地理可达性分析的聚类算法存在地理可达性测度不准确、不涉及簇中心选取或簇中心不可达等缺陷,不能有效求解真实场景下的设施选址问题。基于此,本文提出一种基于可达距离的模糊C均值聚类算法(Fuzzy C-Means based on Reachable Distance,FCM-RD)。FCM-RD算法改造了经典FCM算法的目标函数、隶属度函数和簇中心函数,使其适用基于可达距离的聚类分析。其次,以沿路网的最短路径距离作为可达距离衡量元素间的地理可达相似性,将聚类元素的二维地理坐标映射为路网坐标,并以此设计簇中心迭代机制,实现在聚类过程中以可达距离迭代不受约束的可达簇中心。同时,对所提簇中心迭代机制的有效性进行理论分析和实验验证,结果表明,FCM-RD算法在每次迭代中所选的各簇簇中心唯一且为当前簇类目标函数最小值点。最后,基于真实地理场景的仿真实验表明,相比基准算法,FCM-RD不仅能获得位置不受限的可达簇中心,而且能获得更好的聚类效果,为实际场景下的地理空间聚类方案提供了有效且精准的解决方案。
基金granted by the National Natural Science Foundation of China(42102297,41972254)Innovative Science and Technology Talents Team Construction Project of Henan Province(CXTD2016053)+2 种基金China Postdoctoral Science Foundation(2021M701098)Special Funds for Higher Education Basic Scientific Research Funds of Henan Province(NSFRF200103NSFRF210304)。
文摘The karst groundwater of Cambrian limestone may become an important water source for industry and agriculture in the Pingdingshan area,and is also a potential threat to mining safety.Therefore,to find out the origin,flow paths,and hydrogeochemical processes of karst groundwater beneath the Pingdingshan coalfield,a total of 16 water samples were collected.Our findings confirmed that the karst groundwater is mainly recharged by precipitation.The precipitation can directly supply the deep aquifer of the karst water system through the southwest limestone outcrops,and this area mostly includes the southern part of mines No.11,No.9,and the hidden outcrops in the southern part of mine No.2.What is more,the areas adjacent to the synclinal axis,including mines No.10,No.12,and No.8,may be the main discharge areas.A mixing model of^(87)Sr/^(86)Sr and Sr showed that in the southwest Pingdingshan coalfield,the proportion of precipitation decreased gradually from the recharge area to the discharge area,ranging from 89.1%to 17.1%.Besides,the northeast Pingdingshan coalfield is another recharge area for the whole karst system,thus,the infiltrating groundwater will indirectly supply the deep aquifer through Quaternary deposition near the mine No.13.Our research results can provide theoretical support for the prevention and control of groundwater disasters and the development and utilization of regional groundwater resources in the coalfield in Northern China.
