Modified Numerical Method for Improving the Calculation of Rill Detachment Rate

A rational calculation of the rill detachment rate (RDR) and an accurate simulation of the rill detachment process are important for determining the model parameters of hillslope erosion. Here, we found a difference between RDRs calculated using different methods that cannot be ignored. This study p...

Full description

Bibliographic Details
Main Authors: Yuhan Huang, Mingquan Zhao, Dan Wan, Tingwu Lei, Fahu Li, Wei Wang
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/15/10/1875
_version_ 1797598022456049664
author Yuhan Huang
Mingquan Zhao
Dan Wan
Tingwu Lei
Fahu Li
Wei Wang
author_facet Yuhan Huang
Mingquan Zhao
Dan Wan
Tingwu Lei
Fahu Li
Wei Wang
author_sort Yuhan Huang
collection DOAJ
description A rational calculation of the rill detachment rate (RDR) and an accurate simulation of the rill detachment process are important for determining the model parameters of hillslope erosion. Here, we found a difference between RDRs calculated using different methods that cannot be ignored. This study proposes a modified numerical method based on the dataset of the measured sediment concentrations along the rill length over a saturated loess soil slope to improve the calculation of RDR. For the saturated loess soil slope, the modified numerical RDR reduced the relative error from 58.3% to 4.6%, thereby demonstrating the efficiency of the modified numerical method. Furthermore, datasets of previous studies on different soil types and rill width verified the accuracy and applicability of the modified numerical method. A measurement strategy with more sampling points set at the forepart of the rill is proposed to enhance the calculation accuracy of RDR in accordance with the absolute error distribution between numerical and modified numerical RDRs. This study contributes to the literature by correcting previous data, improving data for subsequent measurements, and supplying a basis for the accurate estimation of RDR for rill erosion modeling.
first_indexed 2024-03-11T03:13:32Z
format Article
id doaj.art-7d50d7ade63e4f9c9276d308597f0991
institution Directory Open Access Journal
issn 2073-4441
language English
last_indexed 2024-03-11T03:13:32Z
publishDate 2023-05-01
publisher MDPI AG
record_format Article
series Water
spelling doaj.art-7d50d7ade63e4f9c9276d308597f09912023-11-18T03:41:42ZengMDPI AGWater2073-44412023-05-011510187510.3390/w15101875Modified Numerical Method for Improving the Calculation of Rill Detachment RateYuhan Huang0Mingquan Zhao1Dan Wan2Tingwu Lei3Fahu Li4Wei Wang5Guangxi Key Laboratory of Forest Ecology and Conservation, College of Forestry, Guangxi University, Nanning 530004, ChinaGuangxi Key Laboratory of Forest Ecology and Conservation, College of Forestry, Guangxi University, Nanning 530004, ChinaCollege of Resources and Environment, Tibet Agriculture and Animal Husbandry University, Linzhi 860000, ChinaCollege of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, ChinaCollege of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, ChinaCollege of Engineering, China Agricultural University, Beijing 100083, ChinaA rational calculation of the rill detachment rate (RDR) and an accurate simulation of the rill detachment process are important for determining the model parameters of hillslope erosion. Here, we found a difference between RDRs calculated using different methods that cannot be ignored. This study proposes a modified numerical method based on the dataset of the measured sediment concentrations along the rill length over a saturated loess soil slope to improve the calculation of RDR. For the saturated loess soil slope, the modified numerical RDR reduced the relative error from 58.3% to 4.6%, thereby demonstrating the efficiency of the modified numerical method. Furthermore, datasets of previous studies on different soil types and rill width verified the accuracy and applicability of the modified numerical method. A measurement strategy with more sampling points set at the forepart of the rill is proposed to enhance the calculation accuracy of RDR in accordance with the absolute error distribution between numerical and modified numerical RDRs. This study contributes to the literature by correcting previous data, improving data for subsequent measurements, and supplying a basis for the accurate estimation of RDR for rill erosion modeling.https://www.mdpi.com/2073-4441/15/10/1875detachment raterill erosionWEPP modelmodifyingrill length
spellingShingle Yuhan Huang
Mingquan Zhao
Dan Wan
Tingwu Lei
Fahu Li
Wei Wang
Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
Water
detachment rate
rill erosion
WEPP model
modifying
rill length
title Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
title_full Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
title_fullStr Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
title_full_unstemmed Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
title_short Modified Numerical Method for Improving the Calculation of Rill Detachment Rate
title_sort modified numerical method for improving the calculation of rill detachment rate
topic detachment rate
rill erosion
WEPP model
modifying
rill length
url https://www.mdpi.com/2073-4441/15/10/1875
work_keys_str_mv AT yuhanhuang modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate
AT mingquanzhao modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate
AT danwan modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate
AT tingwulei modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate
AT fahuli modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate
AT weiwang modifiednumericalmethodforimprovingthecalculationofrilldetachmentrate