面向输沙过程模拟的改进流向算法

doi:10.12118/j.issn.1000-6060.2023.408

Abstract

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

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.

Figures/Tables 8

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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

An improved flow direction algorithm for sediment transport simulations

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