为定量分析内涝积水对城市路网交通运行的影响,开展内涝积水下城市交通路网邻域拓扑势研究。首先,利用对偶拓扑方法将路段映射为点、交叉路口映射为边,构建城市路网的对偶拓扑图;其次,根据势函数原理,厘定节点间最短拓扑距离、地势高差传递权值、路网对偶节点吞吐量、势场影响因子等参数,构建内涝积水对城市交通影响的路网邻域拓扑势模型,并采用黄金分割优化算法对模型进行求解;最后,以宜昌市西陵区易涝地段为例,分析不同积水深度下城市路网拓扑势的演化趋势。结果表明:积水深度达到15 cm以上时,各路段拓扑势下降大于20%;随着高峰和平峰时积水深度的增大,节点拓扑势从平缓波动到急剧下降;从节点间的拓扑势值排序可以看出,积水路段西陵一路与一级领域的路段之间的拓扑势最大,而和其他路段之间的拓扑势随着距离的增加而减小。研究揭示了内涝积水对城市交通路网邻域拓扑势的影响规律,可为城市内涝治理及交通管制提供理论依据。
Abstract
In an attempt to quantify the impact of waterlogging on urban road network traffic operation, the neighborhood topological potential of the waterlogged urban traffic road network was researched. First, the dual topological diagram of the urban road network was constructed with road sections mapped as points and intersections as edges. Subsequently, according to the principle of the potential function, parameters including the shortest topological distance between nodes, the relief height difference transfer weight, the throughput at dual nodes of road network, and the influence of potential field were determined. On this basis, a neighborhood topological model of the impact of waterlogging on urban traffi network was established, and the model was solved by using the golden section optimization algorithm. The model was applied to analyze the evolution of topological potential of urban road network under different depths of waterlogging in the flood-prone area in Xiling District of Yichang City as a case study. Results demonstrate that when the depth of waterlogging reaches 15 cm or more, the topological potential of each road section decreases by over 20%. With the increase of waterlogging depth at peak and flat times, the topological potential of nodes fluctuates gently before sharp decline. The topological potential value reaches the maximum between Xiling 1st Road in waterlogging section and the road section in the first-level domain; but reduces between other road sections as distance increases. The study reveals the law of the influence of waterlogging on the neighborhood topology of urban traffic road networks, and is expected to provide a theoretical basis for urban waterlogging management and traffic control.
关键词
内涝积水 /
城市路网 /
拓扑势 /
演化特征 /
黄金分割算法
Key words
waterlogging /
urban road network /
topological potential /
evolution characteristics /
golden section algorithm
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基金
国家自然科学基金项目(52179136);教育部人文社科研究规划基金项目(21YJA630038)
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