Volume 34, Issue 16 pp. 3571-3581
RESEARCH ARTICLE

Establishing a threshold for rainfall-induced landslides by a kinetic energy–duration relationship

Vito Ferro

Corresponding Author

Vito Ferro

Department of Earth and Marine Sciences, University of Palermo, Palermo, Italy

Correspondence

Vito Ferro, Department of Earth and Marine Sciences, University of Palermo, Via Archirafi 20, Palermo 90137, Italy.

Email: [email protected]

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Francesco G. Carollo

Francesco G. Carollo

Department of Agricultural, Food and Forest Sciences, University of Palermo, Palermo, Italy

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Maria A. Serio

Maria A. Serio

Department of Earth and Marine Sciences, University of Palermo, Palermo, Italy

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First published: 21 May 2020
Citations: 10

Abstract

Many investigators have attempted to define the threshold of landslide failure, that is, the level of the selected climatic variable above which a rainfall-induced landslide occurs. Intensity–duration (Id) relationships are the most common type of empirical thresholds proposed in the literature for predicting landslide occurrence induced by rainfall. Recent studies propose the use of the kinetic power per unit volume of rainfall (J m−2 mm−1) to quantify the threshold of landslides induced by rainfall. In this paper, the relationship between rainfall duration and kinetic power corresponding to landslides triggered by rain was used to propose a new approach to define the threshold for predicting landslide occurrence. In particular, for the first time, a kinetic power per unit volume of rainfall–duration relationship is proposed for defining the minimum threshold needed for landslide failure. This new method can be applied using commonly used relationship for estimating the kinetic power per unit volume of rainfall and a new equation based on the measured raindrop size distribution. The applicability of this last method was tested using the data of rainfall intensity, duration and median volume diameter for 51 landslides in Taiwan. For the 51 landslides, the comparison between the measured pairs' kinetic power–duration and all selected relationships demonstrated that the equation based on the measured raindrop size distribution is the best method to define the landslide occurrence threshold, as it is both a process-oriented approach and is characterized by the best statistical performance. This last method has also the advantage to allow the forecasting of landslide hazard before the end of the rainfall event, since the rainfall kinetic power threshold value can be exceeded for a time interval less than the event duration.

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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