基于容量交易和多尺度网格划分的海绵城市建设优化方法

Optimization method for sponge city construction based on capacity trading and multi-scale mesh division

摘要

【目的】针对海绵城市建设中LID设施应用面临的高建设成本和资源配置效率低等问题，【方法】提出了一种基于容量交易和多尺度网格划分的优化策略。通过将研究区域进行100 m、200 m、500 m和1 000 m尺度的网格划分，结合SLSQP优化算法和容量交易机制，模拟不同单元间径流“传递”的潜力，并按需配置LID设施。【结果】结果表明：随着交易尺度的增大，径流削减效果逐渐增强。相较于100 m交易尺度，在满足径流系数的控制目标情况下，200 m、500 m以及1000 m交易尺度所需LID设施建设面积分别减少了28.48hm²、87.33 hm²和138.16 hm²;当径流控制率成为约束条件时，200 m、500 m以及1 000 m交易尺度所需LID设施建设面积分别减少了24.74 hm²、117.32 hm²和192.18 hm²。【结论】综合分析表明：随着交易尺度的增大，LID设施的建设面积逐渐减少，但当交易尺度过大时，效益提升的幅度开始趋于平缓。500 m交易尺度被认为是研究区域的最佳交易尺度，这一尺度通过有效整合区域间的削减潜力，在降低建设成本的同时，避免了因尺度过大导致的效益递减。在实际应用中，应根据具体区域的地形、气候和功能需求，灵活选择适当的交易尺度，以实现最佳的资源配置和径流削减效果，该方法能够为海绵城市建设提供精细化与高效协同的路径。

Abstract

[Objective] To address the issues of high construction costs and low resource allocation efficiency in the application of Low Impact Development(LID) facilities in sponge city construction, [Methods] an optimization strategy based on capacity trading and multi-scale mesh division is proposed. The study area was divided into meshes at scales of 100 m, 200 m, 500 m, and 1 000 m. The Sequential Least Squares Quadratic Programming(SLSQP) optimization algorithm and capacity trading mechanism were integrated to simulate the runoff “transfer” potential between different units and allocate LID facilities as required. [Results] The result showed that as the trading scale increased, the runoff reduction effect gradually strengthened. Compared to the 100 m trading scale, when the runoff coefficient control target was met, the required LID facility construction areas for the 200 m, 500 m, and 1 000 m trading scales were reduced by 28.48 hm², 87.33 hm², and 138.16 hm², respectively. When the runoff control rate was set as a constraint, the required LID facility construction areas for the 200 m, 500 m, and 1 000 m trading scales were reduced by 24.74 hm², 117.32 hm², and 192.18 hm², respectively. [Conclusion] Comprehensive analysis shows that as the trading scale increases, the required construction area for LID facilities gradually decreases. However, when the trading scale becomes excessively large, the rate of benefit improvement begins to level off. The 500 m trading scale is considered the optimal scale for the study area, as it effectively integrates runoff reduction potential across regions, reduces construction costs, and avoids the diminishing returns associated with excessive large scales. In practical applications, the trading scales should be flexibly selected based on the topography, climate, and functional needs of the specific area to achieve optimal resource allocation and runoff reduction effects. The proposed approach provides a refined and highly coordinated pathway for sponge city construction.

关键词

网格划分 / 海绵容量交易 / 空间尺度 / 海绵城市 / 绿色基础设施 / 径流削减

Key words

mesh division / sponge capacity trading / spatial scale / sponge city / green infrastructure / runoff reduction

基金资助

国家自然科学基金项目(52408537)

国家自然科学基金项目(52408177)

江苏省自然科学基金项目(BK20230692)

博士科研启动经费(KQ23036)