Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function

The cumulative displacement-time curve is the most common and direct method used to predict the deformation trends of landslides and divide the deformation stages. A new method based on the inverse logistic function considering inverse distance weighting (IDW) is proposed to predict the displacement...

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Main Authors: Liulei Bao, Guangcheng Zhang, Xinli Hu, Shuangshuang Wu, Xiangdong Liu
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/4/1091
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author Liulei Bao
Guangcheng Zhang
Xinli Hu
Shuangshuang Wu
Xiangdong Liu
author_facet Liulei Bao
Guangcheng Zhang
Xinli Hu
Shuangshuang Wu
Xiangdong Liu
author_sort Liulei Bao
collection DOAJ
description The cumulative displacement-time curve is the most common and direct method used to predict the deformation trends of landslides and divide the deformation stages. A new method based on the inverse logistic function considering inverse distance weighting (IDW) is proposed to predict the displacement of landslides, and the quantitative standards of dividing the deformation stages and determining the critical sliding time are put forward. The proposed method is applied in some landslide cases according to the displacement monitoring data and shows that the new method is effective. Moreover, long-term displacement predictions are applied in two landslides. Finally, summarized with the application in other landslide cases, the value of displacement acceleration, 0.9 mm/day<sup>2</sup>, is suggested as the first early warning standard of sliding, and the fitting function of the acceleration rate with the volume or length of landslide can be considered the secondary critical threshold function of landslide failure.
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spelling doaj.art-f3718b74ca604b2a88d9ba559babedb32023-12-11T17:38:57ZengMDPI AGEnergies1996-10732021-02-01144109110.3390/en14041091Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic FunctionLiulei Bao0Guangcheng Zhang1Xinli Hu2Shuangshuang Wu3Xiangdong Liu4Faculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaThe cumulative displacement-time curve is the most common and direct method used to predict the deformation trends of landslides and divide the deformation stages. A new method based on the inverse logistic function considering inverse distance weighting (IDW) is proposed to predict the displacement of landslides, and the quantitative standards of dividing the deformation stages and determining the critical sliding time are put forward. The proposed method is applied in some landslide cases according to the displacement monitoring data and shows that the new method is effective. Moreover, long-term displacement predictions are applied in two landslides. Finally, summarized with the application in other landslide cases, the value of displacement acceleration, 0.9 mm/day<sup>2</sup>, is suggested as the first early warning standard of sliding, and the fitting function of the acceleration rate with the volume or length of landslide can be considered the secondary critical threshold function of landslide failure.https://www.mdpi.com/1996-1073/14/4/1091displacement-time curvethe deformation stage divisioncritical sliding predictioninverse logistic curveinverse distance weighted
spellingShingle Liulei Bao
Guangcheng Zhang
Xinli Hu
Shuangshuang Wu
Xiangdong Liu
Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
Energies
displacement-time curve
the deformation stage division
critical sliding prediction
inverse logistic curve
inverse distance weighted
title Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
title_full Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
title_fullStr Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
title_full_unstemmed Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
title_short Stage Division of Landslide Deformation and Prediction of Critical Sliding Based on Inverse Logistic Function
title_sort stage division of landslide deformation and prediction of critical sliding based on inverse logistic function
topic displacement-time curve
the deformation stage division
critical sliding prediction
inverse logistic curve
inverse distance weighted
url https://www.mdpi.com/1996-1073/14/4/1091
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AT guangchengzhang stagedivisionoflandslidedeformationandpredictionofcriticalslidingbasedoninverselogisticfunction
AT xinlihu stagedivisionoflandslidedeformationandpredictionofcriticalslidingbasedoninverselogisticfunction
AT shuangshuangwu stagedivisionoflandslidedeformationandpredictionofcriticalslidingbasedoninverselogisticfunction
AT xiangdongliu stagedivisionoflandslidedeformationandpredictionofcriticalslidingbasedoninverselogisticfunction