矿井水灾逃生路径建模及路径规划研究
|
摘要
综合不同水位下,不同身高特征对矿工在矿井突水时期逃生速度的影响,分析了身高不同的矿工在不同水位下的行走速度与水位之间的函数关系,提出并建立了相应的关系函数模型——阻滞型水中逃生速度曲线数学模型,并基于该模型计算影响矿工逃生速度的影响系数;同时为了动态描述巷道的安全通行能力,根据模糊评价原理,引入了相应的安全系数;结合巷道实际道路特征,优化了矿井水灾逃生数学模型。优化后的数学模型不仅可以针对不同身高特征的矿工设计最优逃生路径,也可以在人员较多时采用平均身高设计最优逃生路径。
This paper summarizes the effect of different height characteristics on the escape speed of miners under different water level in the period of mine water flood and analyzes the functional relationship between the walking speed and water level of miners with different height at different water level, proposes and sets up the corresponding relation function model which is the mathematical model of retarding speed curve in water, and calculates the influence coefficient of miners' escape velocity based on this model. In order to describe the safety capacity of roadway dynamically, according to the fuzzy evaluation principle, the corresponding safety factor is introduced. Finally, combining with the actual roadway characteristics, the mathematical model of mine flood escape is optimized. Then, the optimized mathematical model can not only design the optimal escape route for miners with different height characteristics, but also design the optimal escape route with average height when there are more staff.
This paper summarizes the effect of different height characteristics on the escape speed of miners under different water level in the period of mine water flood and analyzes the functional relationship between the walking speed and water level of miners with different height at different water level, proposes and sets up the corresponding relation function model which is the mathematical model of retarding speed curve in water, and calculates the influence coefficient of miners' escape velocity based on this model. In order to describe the safety capacity of roadway dynamically, according to the fuzzy evaluation principle, the corresponding safety factor is introduced. Finally, combining with the actual roadway characteristics, the mathematical model of mine flood escape is optimized. Then, the optimized mathematical model can not only design the optimal escape route for miners with different height characteristics, but also design the optimal escape route with average height when there are more staff.
引文
[1]高蕊,蒋仲安,董枫,等.基于MapObject的矿井火灾动态最佳救灾路线数学模型和算法[J].北京科技大学学报,2008(7):705-709.
[2]卢国菊,高彩军.矿井灾变时期最优避灾路径研究[J].矿业安全与环保,2017,44(2):70-73.
[3]詹子娜,金龙哲,白楠,等.基于避险设施的火灾救援及避灾路线算法[J].北京科技大学学报,2014,36(7):966-971.
[4]宁彤彬.矿井突水时期最优避灾路径研究[D].太原:太原理工大学,2017.
[5]刘勇.基于蚁群算法的应急救援最优路径研究[D].武汉:中国地质大学,2010.
[6]孙臣良.基于启发式搜索的矿井最佳应急救援路线确定方法[J].煤矿安全,2007,38(1):37-38.
[7]徐洪勇.基于GIS的最短路径算法改进对比研究[D].北京:中国地质大学(北京),2008.
[8]陈帼鸾.基于TOP-N算法的井下紧急避灾路径寻优研究[J].煤炭技术,2017,36(7):206-208.
[9]张丽娟.基于OSG的矿井突水应急虚拟仿真系统关键技术研究[D].北京:中国矿业大学(北京),2014.
[10]刘红,罗旋.基于当量长度的游船火灾人员最优疏散路径[J].上海海事大学学报,2012,33(1):32-36.
[11]毕林,崔君,林格,等.矿井火灾最优逃生路径优化数学模型的构建与实现[J].黄金科学技术,2017,25(2):104-109.
[12]周良,丁晨,徐国华.基于模糊综合评价的最优路径求解[J].现代电子技术,2003(3):56-58.
[13]Idwan S, Etaiwi W. Dijkstra algorithm heuristic approach for large graph[J]. Journal of Applied Sciences,2011, 11(12):2255-2259.
[14]Rui Li. Utilizing Restricted Direction Strategy and Binary Heap Technology to Optimize Dijkstra Algorithm in WebGIS[J]. Key Engineering Materials, 2010, 854(419-420):557-560.
[15]赵作鹏,宋国娟,宗元元,等.基于D-K算法的煤矿水灾多最优路径研究[J].煤炭学报,2015,40(2):397-402.
[16]汪金花,张亚静,朱令起,等.井下避险最优路径机理与数学建模研究[J].金属矿山,2013(5):128-130.
[17]汪金花,张亚静,朱令起,等.基于GIS井下紧急避险路线的数学建模与仿真[J].矿业研究与开发,2013,33(3):104-107.
[2]卢国菊,高彩军.矿井灾变时期最优避灾路径研究[J].矿业安全与环保,2017,44(2):70-73.
[3]詹子娜,金龙哲,白楠,等.基于避险设施的火灾救援及避灾路线算法[J].北京科技大学学报,2014,36(7):966-971.
[4]宁彤彬.矿井突水时期最优避灾路径研究[D].太原:太原理工大学,2017.
[5]刘勇.基于蚁群算法的应急救援最优路径研究[D].武汉:中国地质大学,2010.
[6]孙臣良.基于启发式搜索的矿井最佳应急救援路线确定方法[J].煤矿安全,2007,38(1):37-38.
[7]徐洪勇.基于GIS的最短路径算法改进对比研究[D].北京:中国地质大学(北京),2008.
[8]陈帼鸾.基于TOP-N算法的井下紧急避灾路径寻优研究[J].煤炭技术,2017,36(7):206-208.
[9]张丽娟.基于OSG的矿井突水应急虚拟仿真系统关键技术研究[D].北京:中国矿业大学(北京),2014.
[10]刘红,罗旋.基于当量长度的游船火灾人员最优疏散路径[J].上海海事大学学报,2012,33(1):32-36.
[11]毕林,崔君,林格,等.矿井火灾最优逃生路径优化数学模型的构建与实现[J].黄金科学技术,2017,25(2):104-109.
[12]周良,丁晨,徐国华.基于模糊综合评价的最优路径求解[J].现代电子技术,2003(3):56-58.
[13]Idwan S, Etaiwi W. Dijkstra algorithm heuristic approach for large graph[J]. Journal of Applied Sciences,2011, 11(12):2255-2259.
[14]Rui Li. Utilizing Restricted Direction Strategy and Binary Heap Technology to Optimize Dijkstra Algorithm in WebGIS[J]. Key Engineering Materials, 2010, 854(419-420):557-560.
[15]赵作鹏,宋国娟,宗元元,等.基于D-K算法的煤矿水灾多最优路径研究[J].煤炭学报,2015,40(2):397-402.
[16]汪金花,张亚静,朱令起,等.井下避险最优路径机理与数学建模研究[J].金属矿山,2013(5):128-130.
[17]汪金花,张亚静,朱令起,等.基于GIS井下紧急避险路线的数学建模与仿真[J].矿业研究与开发,2013,33(3):104-107.