论文标题

洪水映射的PI定理配方

Pi theorem formulation of flood mapping

论文作者

Bartlett, Mark S., Van Blitterswyk, Jared, Farella, Martha, Li, Jinshu, Smith, Curtis, Parolari, Anthony J., Krishnamoorthy, Lalitha, Mrad, Assaad

论文摘要

快速划定山洪暴露对于动员应急资源和管理疏散至关重要,从而挽救生命和财产。与传统的高分辨率2D洪水模型相比,机器学习(ML)方法可以随着计算需求的减少而快速洪水划定。但是,现有的ML方法受到对从未见过的条件缺乏概括的限制。在这里,我们提出了一个框架,以基于无尺度的多尺度特征来改善ML模型概括,该特征捕获了跨区域洪水过程的相似性。无量纲的特征受到白金汉$π$定理的约束,并与逻辑回归模型一起使用,以确定洪水风险。通过不同的累积阈值的流描绘来以不同的尺度计算这些特征。建模的洪水图与2D液压模型的结果进行了很好的比较,后者是联邦紧急事务管理局(FEMA)洪水危害地图的基础。无尺寸的特征优于尺寸特征,当模型在一个区域中训练并在另一个区域进行测试时,发生了一些最大的收益(在AUC中)。 ML洪水模型中的无尺度和多尺度特征有可能改善概括,从而在未塑造的区域以及更广泛的景观,气候和事件中进行映射。

Rapid delineation of flash flood extents is critical to mobilize emergency resources and to manage evacuations, thereby saving lives and property. Machine learning (ML) approaches enable rapid flood delineation with reduced computational demand compared to conventional high-resolution, 2D flood models. However, existing ML approaches are limited by a lack of generalization to never-before-seen conditions. Here, we propose a framework to improve ML model generalization based on dimensionless, multi-scale features that capture the similarity of the flooding process across regions. The dimensionless features are constrained with the Buckingham $Π$ theorem and used with a logistic regression model for a probabilistic determination of flood risk. The features were calculated at different scales by varying accumulation thresholds for stream delineation. The modeled flood maps compared well with the results of 2D hydraulic models that are the basis of the Federal Emergency Management Agency (FEMA) flood hazard maps. Dimensionless features outperformed dimensional features, with some of the largest gains (in the AUC) occurring when the model was trained in one region and tested in another. Dimensionless and multi-scale features in ML flood modeling have the potential to improve generalization, enabling mapping in unmapped areas and across a broader spectrum of landscapes, climates, and events.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源