Exact solution of a stochastic model of rain-induced shallow landslides in hollows

Research output: Chapter in Book/Report/Conference proceedingConference paper

Abstract

D’Odorico & Fagherazzi (2003) have proposed a probabilistic model of rainfall-triggered shallow landslides in hollows. Their model describes the long-term evolution of colluvial deposits through a probabilistic soil mass balance at a point. The model accounts for hollow infilling, expressed as a deterministic function of the deposit thickness, and soil erosion by shallow landslides, modeled as a time-dependent stochastic point process related to the occurrence of triggering precipitation events. Further building blocks of the model are: an infinite-slope stability analysis; a steady-state kinematic wave model of hollow groundwater hydrology; and a statistical model relating intensity, duration, and frequency of extreme precipitation. The authors provide an analytical solution to their model under the simplifying assumption that the occurrence rate of landslide-triggering rain events is independent of the colluvial deposit thickness. We present an exact solution to the stochastic landslide model for the general case where the triggering rain event occurrence rate depends on the soil thickness and hence on time.
Original languageEnglish
Title of host publicationProceedings of Landslide processes: from geomorphologic mapping to dynamic modelling
EditorsJean-Philippe Malet, Alexandre Remaître
Place of PublicationStrasbourg France
PublisherCERG Editions, Strasbourg, France
Pages209-213
Publication statusPublished - 2009
EventLandslide processes: from geomorphologic mapping to dynamic modelling -
Duration: 6 Feb 20097 Feb 2009

Conference

ConferenceLandslide processes: from geomorphologic mapping to dynamic modelling
Period6/02/097/02/09

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    Uijlenhoet, R. (2009). Exact solution of a stochastic model of rain-induced shallow landslides in hollows. In J-P. Malet, & A. Remaître (Eds.), Proceedings of Landslide processes: from geomorphologic mapping to dynamic modelling (pp. 209-213). Strasbourg France: CERG Editions, Strasbourg, France.