面向输沙过程模拟的改进流向算法

doi:10.12118/j.issn.1000-6060.2023.408

干旱区地理 ›› 2024, Vol. 47 ›› Issue (8): 1380-1387.doi: 10.12118/j.issn.1000-6060.2023.408

面向输沙过程模拟的改进流向算法

沈心怡¹^,²(), 代文¹(), 刘爱利¹, 陶宇³, 赵成义¹

1.南京信息工程大学地理科学学院，江苏南京 211800
2.南京师范大学地理科学学院，江苏南京 210023
3.南京林业大学南京现代林业协同创新中心，江苏南京 210037

收稿日期:2023-08-08 修回日期:2023-11-24 出版日期:2024-08-25 发布日期:2024-09-02
通讯作者: 代文（1995-），男，博士，副教授，主要从事数字地形分析等方面的研究. E-mail: wen.dai@nuist.edu.cn
作者简介:沈心怡（2001-），女，硕士研究生，主要从事数字地形分析等方面的研究. E-mail: 202083670052@nuist.edu.cn
基金资助:
国家自然科学基金(42301478);国家自然科学基金(42130405);江苏省高等学校自然科学研究项目(22KJB170016)

An improved flow direction algorithm for sediment transport simulations

SHEN Xinyi¹^,²(), DAI Wen¹(), LIU Aili¹, TAO Yu³, ZHAO Chengyi¹

1. School of Geographical Sciences, Nanjing University of Information Science and Technology, Nanjing 211800, Jiangsu, China
2. School of Geographical Sciences, Nanjing Normal University, Nanjing 210023, Jiangsu, China
3. Co-Innovation Center for Sustainable Forestry in Southern China, Nanjing Forestry University, Nanjing 210037, Jiangsu, China

Received:2023-08-08 Revised:2023-11-24 Published:2024-08-25 Online:2024-09-02

摘要/Abstract

摘要：

流域中的输沙过程是地貌学和地表动力学的重要研究内容。前人通过流向算法和实测地形变化来推测输沙率的空间分布，但是简单地应用流向算法会造成模拟过程中出现质量不守恒的情况。因此，设计了面向输沙过程模拟的改进流向算法，判断模拟过程中质量守恒情况，即输沙率是否为负值，若存在，则将负值输沙率重设，阻止负值输沙率向下游传播。对经典的D8、MFD-se、MFD-md 3种流向算法进行了改进实验。结果表明：（1）改进后的D8单流向算法相较于改进前的性能平均提升了1.26%。（2）改进后的MFD-se单流向算法相较于改进前的性能平均提升了4.17%。（3）改进后的MFD-md单流向算法相较于改进前的性能平均提升了4.54%。

关键词: 流向算法, 数字高程模型, 输沙率, 质量守恒, 地形变化

Abstract:

Sediment transport process in catchments is a critical research area in the fields of geomorphology and surface dynamics. Numerous researchers have applied flow direction algorithms and topographic change detection to spatially infer sediment transport. However, the simple application of flow direction algorithms often leads to mass conservation issues during simulation. Therefore, an improved flow direction algorithm for sediment transport process simulation was developed. This algorithm ensures mass conservation by checking whether the sediment transport rate is negative; if it is negative, reset the rate to zero to prevent the spread of negative sediment transport rates downstream. Experiments were conducted using the D8, MFD-se, and MFD-md algorithms with the proposed improvements. The results are as follows: (1) The improved flow direction algorithm successfully eliminated negative values in the simulated sediment transport rate, thereby achieving the intended purpose. (2) The performance of the improved D8 algorithm increased by 1.26%. (3) The performance of the improved MFD-se algorithm increased by 4.17%, considerably enhancing sediment transport process simulations. (4) The performance of the improved MFD-md algorithm increased by 4.54%, further boosting the effectiveness of the sediment transport process simulations.

Key words: flow direction algorithm, digital elevation model, sediment transport rate, mass conservation, topographic change

沈心怡, 代文, 刘爱利, 陶宇, 赵成义. 面向输沙过程模拟的改进流向算法[J]. 干旱区地理, 2024, 47(8): 1380-1387.

SHEN Xinyi, DAI Wen, LIU Aili, TAO Yu, ZHAO Chengyi. An improved flow direction algorithm for sediment transport simulations[J]. Arid Land Geography, 2024, 47(8): 1380-1387.

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参考文献 19

[1]	Orlandini S, Moretti G. Determination of surface flow paths from gridded elevation data[J]. Water Resources Research, 2009, 45(3): 150-164.
[2]	梁宇靖, 沈润平, 师春香, 等. 基于CLDAS融合降水的中国降雨侵蚀力研究[J]. 干旱区地理, 2022, 45(5): 1333-1346.
	[Liang Yujing, Shen Runping, Shi Chunxiang, et al. Rainfall erosivity in China based on CLDAS fusion precipitation[J]. Arid Land Geography, 2022, 45(5): 1333-1346.]
[3]	奥勇, 蒋嶺峰, 白召弟, 等. 基于格网GIS的黄河流域土地生态质量综合评价[J]. 干旱区地理, 2022, 45(1): 164-175.
	[Ao Yong, Jiang Lingfeng, Bai Zhaodi, et al. Comprehensive evaluation of land ecological quality in the Yellow River Basin based on Grid-GIS[J]. Arid Land Geography, 2022, 45(1): 164-175.]
[4]	Han X L, Liu J T, Mitra S, et al. Selection of optimal scales for soil depth prediction on headwater hillslopes: A modeling approach[J]. Catena, 2018, 163: 257-275.
[5]	Yan Y Z, Tang J, Pilesjö P. A combined algorithm for automated drainage network extraction from digital elevation models[J]. Hydrological Processes, 2018, 32(10): 1322-1333.
[6]	Shin S, Paik K. An improved method for single flow direction calculation in grid digital elevation models[J]. Hydrological Processes, 2017, 31(8): 1650-1661.
[7]	张维, 杨昕, 汤国安, 等. 基于DEM的平缓地区水系提取和流域分割的流向算法分析[J]. 测绘科学, 2012, 37(2): 94-96.
	[Zhang Wei, Yang Xin, Tang Guoan, et al. DEM-based flow direction algorithms study of stream extraction and watershed delineation in the low relief areas[J]. Science of Surveying and Mapping, 2012, 37(2): 94-96.]
[8]	O’callaghan J F, Mark D M. The extraction of drainage networks from digital elevation data[J]. Computer Vision, Graphics, and Image Processing, 1984, 28(3): 323-344.
[9]	Quinn P, Beven K, Chevallier P, et al. The prediction of hillslope flow paths for distributed hydrological modelling using digital terrain models[J]. Hydrological Processes, 1991, 5(1): 59-79.
[10]	Tarboton D G. A new method for the determination of flow directions and upslope areas in grid digital elevation models[J]. Water Resources Research, 1997, 33(2): 662-670.
[11]	Freeman T G. Calculating catchment area with divergent flow based on a regular grid[J]. Computers & Geosciences, 1991, 17(3): 413-422.
[12]	Dai W, Xiong L Y, Gilles A, et al. Quantifying the spatial distribution of sediment transport in an experimental gully system using the morphological method[J]. Earth Surface Processes and Landforms, 2021, 46(6): 1188-1208.
[13]	Dai W, Qian W, Liu A L, et al. Monitoring and modeling sediment transport in space in small loess catchments using UAV-SfM photogrammetry[J]. Catena, 2022, 214: 106244, doi: 10.1016/j.catena.2022.106244.
[14]	代文. 基于DEM的黄土小流域侵蚀监测与输沙过程模拟研究[D]. 南京: 南京师范大学, 2021.
	[Dai Wen. Monitoring soil erosion and modeling the sediment transport in small loess catchments based on digital elevation model[D]. Nanjing: Nanjing Normal University, 2021.]
[15]	代文, 汤国安, 胡光辉, 等. 基于无人机摄影测量的地形变化检测方法与小流域输沙模型研究[J]. 地理科学进展, 2021, 40(9): 1570-1580. doi: 10.18306/dlkxjz.2021.09.011
	[Dai Wen, Tang Guoan, Hu Guanghui, et al. Modelling sediment transport in space in a watershed based on topographic change detection by UAV survey[J]. Progress in Geography, 2021, 40(9): 1570-1580.] doi: 10.18306/dlkxjz.2021.09.011
[16]	秦承志, 李宝林, 朱阿兴, 等. 水流分配策略随下坡坡度变化的多流向算法[J]. 水科学进展, 2006, 17(4): 450-456.
	[Qin Chengzhi, Li Baolin, Zhu Axing, et al. Multiple flow direction algorithm with flow partition scheme based on downslope gradient[J]. Advances in Water Science, 2006, 17(4): 450-456.]
[17]	Jenson S K, Domingue J O. Extracting topographic structure from digital elevation data for geographic system analysis[J]. Photogrammetric Engineering and Remote Sensing, 1988, 54(11): 1593-1600.
[18]	Qin C, Zhu A X, Pei T, et al. An adaptive approach to selecting a flow-partition exponent for a multiple-flow-direction algorithm[J]. International Journal of Geographical Information Science, 2007, 21(4): 443-458.
[19]	崔灵周. 流域降雨侵蚀产沙与地貌形态特征耦合关系研究[D]. 杨凌: 西北农林科技大学, 2002.
	[Cui Lingzhou. The coupling relationship between the sediment yield of rainfall erosion and the topographic feature of small watershed on Loess Plateau[D]. Yangling: Northwest A & F University, 2002.]

算法	评价标准	第1期	第2期	第3期	第4期	第5期	第6期	第7期	第8期
改进前	平均值/g·min^-1	15.00	14.32	74.02	96.99	31.03	52.28	41.26	60.29
	正值区比例/%	33.60	33.51	35.66	37.10	25.44	38.49	35.72	40.77
	负值区比例/%	0.00	1.00	4.48	1.49	10.93	5.71	8.29	7.86
改进后	平均值/g·min^-1	15.00	14.79	84.43	99.86	45.57	58.42	52.90	72.67
	正值区比例/%	33.60	33.83	36.37	37.57	27.43	40.19	38.31	43.05
	负值区比例/%	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00

算法	评价标准	第1期	第2期	第3期	第4期	第5期	第6期	第7期	第8期
改进前	平均值/g·min^-1	8.71	9.90	52.61	69.77	21.31	44.09	34.36	50.44
	正值区比例/%	60.36	52.17	55.48	54.75	45.20	49.54	47.41	55.62
	负值区比例/%	0.00	0.72	3.08	1.22	10.30	5.51	8.27	5.44
改进后	平均值/g·min^-1	8.71	10.01	53.96	69.89	23.03	44.82	38.18	52.14
	正值区比例/%	60.36	52.89	58.09	55.97	55.24	54.89	55.44	61.00
	负值区比例/%	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00

算法	评价标准	第1期	第2期	第3期	第4期	第5期	第6期	第7期	第8期
改进前	平均值/g·min^-1	8.38	9.44	50.72	68.95	20.62	42.21	32.63	48.03
	正值区比例/%	60.34	51.71	54.37	52.95	44.21	49.07	47.00	54.44
	负值区比例/%	0.00	0.79	3.59	1.33	10.95	5.73	8.62	6.59
改进后	平均值/g·min^-1	8.38	9.54	52.21	69.09	22.57	42.94	36.40	50.19
	正值区比例/%	60.34	52.51	57.49	54.28	54.78	54.63	55.37	60.98
	负值区比例/%	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00

面向输沙过程模拟的改进流向算法

An improved flow direction algorithm for sediment transport simulations

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