Depth Averaged Models for Fast Landslide Propagation: Mathematical, Rheological and Numerical Aspects

Pastor Pérez, Manuel Tomás and Blanc, Thomas and Haddad, B. and Drempetic, V. and Sánchez Morles, Mila and Dutto, Paola and Martín Stickle, Miguel and Mira, P. and Fernández Merodo, J. A. (2015). Depth Averaged Models for Fast Landslide Propagation: Mathematical, Rheological and Numerical Aspects. "Archives of Computational Methods in Engineering", v. 22 (n. 1); pp. 67-104. ISSN 1134-3060. https://doi.org/10.1007/s11831-014-9110-3.

Description

Title: Depth Averaged Models for Fast Landslide Propagation: Mathematical, Rheological and Numerical Aspects
Author/s:
  • Pastor Pérez, Manuel Tomás
  • Blanc, Thomas
  • Haddad, B.
  • Drempetic, V.
  • Sánchez Morles, Mila
  • Dutto, Paola
  • Martín Stickle, Miguel
  • Mira, P.
  • Fernández Merodo, J. A.
Item Type: Article
Título de Revista/Publicación: Archives of Computational Methods in Engineering
Date: January 2015
ISSN: 1134-3060
Volume: 22
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Matemática e Informática Aplicadas a la Ingenierías Civil y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper presents an overview of depth averaged modelling of fast catastrophic landslides where coupling of solid skeleton and pore fluid (air and water) is important. The first goal is to show how Biot-Zienkiewicz models can be applied to develop depth integrated, coupled models. The second objective of the paper is to consider a link which can be established between rheological and constitutive models. Perzyna´s viscoplasticity can be considered a general framework within which rheological models such as Bingham and cohesive frictional fluids can be derived. Among the several alternative numerical models, we will focus here on SPH which has not been widely applied by engineers to model landslide propagation. We propose an improvement, based on combining Finite Difference meshes associated to SPH nodes to describe pore pressure evolution inside the landslide mass. We devote a Section to analyze the performance of the models, considering three sets of tests and examples which allows to assess the model performance and limitations: (i) Problems having an analytical solution, (ii) Small scale laboratory tests, and (iii) Real cases for which we have had access to reliable information

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainBIA2012-37020-C02-01GEOFLOWUnspecifiedRotura difusa y fluidificación de geomateriales y geoestructuras

More information

Item ID: 39459
DC Identifier: http://oa.upm.es/39459/
OAI Identifier: oai:oa.upm.es:39459
DOI: 10.1007/s11831-014-9110-3
Official URL: http://link.springer.com/article/10.1007/s11831-014-9110-3
Deposited by: Memoria Investigacion
Deposited on: 03 Mar 2016 17:17
Last Modified: 04 Jun 2019 14:23
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