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

Pastor, M.; Blanc, Thomas; Haddad, B.; Drempetic, V.; Morles, Mila Sanchez; Dutto, Paola; Stickle, Miguel Martín; Mira, Pablo; Merodo, J. A. Fernández

doi:10.1007/s11831-014-9110-3

Cited by 75 publications

(85 citation statements)

References 133 publications

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“…The SPH 2-D depth-integrated numerical model is adopted here (code by M. Pastor, 2007 version) (Pastor, 2007). The model is capable of predicting the runout distance of mudflow, flow velocity, composition of the deposition and final volume of mudflow (Pastor et al, 2009a, b;SafeLand project, 2012;Cascini et al, 2014).…”

Section: E žIc Et Al: a Model Of Mudflow Propagation Downstream Fromentioning

confidence: 99%

“…The model is capable of predicting the runout distance of mudflow, flow velocity, composition of the deposition and final volume of mudflow (Pastor et al, 2009a, b;SafeLand project, 2012;Cascini et al, 2014). The basis of the mathematical model is linking the depth-integrated model of the connection between the flow velocity and the pressure using Biot-Zienkiewicz equations.…”

Section: E žIc Et Al: a Model Of Mudflow Propagation Downstream Fromentioning

confidence: 99%

“…This section is largely based on the work of Pastor (2007) and Pastor et al (2009a) and is included here for completeness. Soils are geomaterials with pores that can be filled with water, air and other liquids.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Assuming that the relative velocities between the fluid phase and its acceleration are small, model v-p w can be formulated as a function of the velocity of a solid skeleton and the relative velocity of the fluid within the skeleton (Blanc, 2008;Pastor 2009a, b;Blanc et al, 2011).…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The smoothed-particle hydrodynamics (SPH) model adopted here considers, in two phases, a granular skeleton with voids filled with either water or mud. The SPH depth-integrated numerical model (Pastor et al, 2009a) used for the present simulations is a 2-D model capable of predicting the runout distance, flow velocity, deposition pattern and the final volume of mudflows. It is based on mathematical and rheological models.…”

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confidence: 99%

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A model of mudflow propagation downstream from the Grohovo landslide near the city of Rijeka (Croatia)

Žic

Arbanas

Bícanić

et al. 2015

Nat. Hazards Earth Syst. Sci.

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Abstract. Mudflows regularly generate significant human and property losses. Analyzing mudflows is important to assess the risks and to delimit vulnerable areas where mitigation measures are required. The smoothed-particle hydrodynamics (SPH) model adopted here considers, in two phases, a granular skeleton with voids filled with either water or mud. The SPH depth-integrated numerical model (Pastor et al., 2009a) used for the present simulations is a 2-D model capable of predicting the runout distance, flow velocity, deposition pattern and the final volume of mudflows. It is based on mathematical and rheological models.In this study, the main characteristics of mudflow processes that have emerged in the past (1908) in the area downstream of the Grohovo landslide are examined, and the more relevant parameters and attributes describing the mudflow are presented. Principal equations that form the basis of the SPH depth-integrated model are reviewed and applied to analyze the Grohovo landslide and the propagation of the mudflow wave downstream of the landslide. Based on the SPH method, the runout distance, quantities of the deposited materials and the velocity of mudflow progression which occurred in the past at the observed area are analyzed and qualitatively compared to the recorded consequences of the actual event. Within the SPH simulation, the Newtonian rheological model in the turbulent flow regime and the Bingham rheological model were adopted and a comparison was made of the application of the Egashira and Hungr erosion law.

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Section: E žIc Et Al: a Model Of Mudflow Propagation Downstream Fromentioning

confidence: 99%

Section: E žIc Et Al: a Model Of Mudflow Propagation Downstream Fromentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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A model of mudflow propagation downstream from the Grohovo landslide near the city of Rijeka (Croatia)

Žic

Arbanas

Bícanić

et al. 2015

Nat. Hazards Earth Syst. Sci.

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Beyond Failure: Modeling of Fluidized Geomaterials

2022

Computational Geomechanics

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Influence of pore fluid on grain-scale interactions and mobility of granular flows of differing volume

Taylor-Noonan

Bowman

McArdell

et al. 2022

Preprint

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The quantification of the hazard posed by a potential landslide source volume requires an accurate prediction of the travel path and distal reach of the final deposit. This is generally accomplished in practice by using runout observations from past landslide events in the same location or similar geologic materials to delineate potential hazard areas for future landslides. These observations are then used either within an empirical-statistical approach to define runout exceedance probability (Legros, 2002) or by inferring material rheological models and parameters from numerical simulations to match runout and inundation depth trimlines of historical events (McDougall, 2017). Heim's Ratio (H/L) was an early empirical-statistical proposal of a parameter for risk assessment by geometrical similarity (Figure 1). The total runout length L can be decomposed into contributions from the translation of the center of mass L COM and spreading of the material ahead of the center-of-mass S f (Dade & Huppert, 1998;Staron & Lajeunesse, 2009), as well as the distance from the back of the head scarp to the source center of mass. The difference in elevation, H, is measured from the back of the head scarp to the front of the deposit. The total runout length L is typically of greatest interest for hazard assessment whereas the potential energy of the source volume is often equated to H. The travel angle 𝐴𝐴 𝐴𝐴𝑔𝑔 = arctan (𝐻𝐻𝐶𝐶𝐶𝐶𝐶𝐶 ∕𝐿𝐿𝐶𝐶𝐶𝐶𝐶𝐶 ) is defined as the

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

Cited by 75 publications

References 133 publications

A model of mudflow propagation downstream from the Grohovo landslide near the city of Rijeka (Croatia)

A model of mudflow propagation downstream from the Grohovo landslide near the city of Rijeka (Croatia)

Beyond Failure: Modeling of Fluidized Geomaterials

Influence of pore fluid on grain-scale interactions and mobility of granular flows of differing volume

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