A viscoplastic approach to the behaviour of fluidized geomaterials with application to fast landslides

Pastor, M.; Stickle, Miguel Martín; Dutto, Paola; Mira, Pablo; Merodo, J. A. Fernández; Blanc, Thomas; Sancho, Sergio; Benítez, A. S.

doi:10.1007/s00161-013-0326-5

Cited by 34 publications

(27 citation statements)

References 96 publications

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“…In a previous publication, the authors have addressed the problem of coupling SPH with a series of finite difference meshes associated to each SPH node, which provides better accuracy to reproduce pore pressure changes Pastor et al [9,10].…”

Section: Numerical Modellingmentioning

confidence: 99%

Fast Landslide Propagation: Alternative Modelling Techniques

Pastor

Yagüe

Stickle

et al. 2017

Springer Series in Geomechanics and Geoengineering

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We model debris flows using two sets of nodes, describing the water and the solid phases, which can move relative to each other. We present first the mathematical model which will be used, deriving it from Zienkiewicz-Shiomi model, and arriving to the depth integrated model proposed by Pitman and Le. Then, we present the rheological models describing solid, fluid and their interaction. Next, the SPH model for two phases will be described. Finally, we present some application cases where we will compare the results provided by the proposed model against those obtained using more simplified models.

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Section: Numerical Modellingmentioning

confidence: 99%

Fast Landslide Propagation: Alternative Modelling Techniques

Pastor

Yagüe

Stickle

et al. 2017

Springer Series in Geomechanics and Geoengineering

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“…Savage and Hutter proposed in 1989 their much‐celebrated 1‐D lagrangian model. Since then, it has been extended to more general conditions, including pore pressure dissipation in saturated materials and two‐phase materials . The limitations of the Savage‐Hutter model have been presented in Hutter et al…”

Section: Mathematical and Numerical Modelsmentioning

confidence: 99%

“…Examples of such laws can be found in the literature. The authors have proposed a frictional‐viscoplastic law that can be applied to rock avalanches and a law based on Perzyna viscoplasticity . These approaches are consistent in the sense that they have been obtained from a 3‐D rheological law.…”

Section: Introductionmentioning

confidence: 99%

A depth average SPH model including μ(I) rheology and crushing for rock avalanches

Longo

Pastor

Sanavia

et al. 2019

Num Anal Meth Geomechanics

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Summary Classical depth‐integrated smoothed particle hydrodynamics (SPH) models for avalanches are extended in the present work to include a μ(I)− rheological model enriched with a fragmentation law. With this improvement, the basal friction becomes grain distribution dependent. Rock avalanches, where grain distribution tends to change with time while propagating, are the appropriate type of landslide to apply the new numerical proposal. The μ(I)− rheological models considered in the present work are those of Hatano and Gray, combined with two different fragmentation laws, a hyperbolic and a fractal‐based law. As an application, Frank avalanche, which took place in Canada in 1903, is analyzed under the scope of the present approach, focusing in the influence of the rheological and fragmentation laws in the evolution of the avalanche.

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“…The starting point for the mathematical model considered in the present work, in order to describe the behaviour of the mixture that propagates within the landslide, is the well known

v - p_{w}

Biot-Zienkiewicz model [28] which is composed of the balance momentum of the mixture (1) and the combined pore fluid balance of mass and linear momentum (2)

ρ \frac{normald v}{normald t} = ρ normalb + d i v σ

d i v (- k_{w} g r a d p_{w}) + d i v v = 0

…”

Section: Mathematical Modelmentioning

confidence: 99%

Modelling of Fluidised Geomaterials: The Case of the Aberfan and the Gypsum Tailings Impoundment Flowslides

et al. 2017

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The choice of a pure cohesive or a pure frictional viscoplastic model to represent the rheological behaviour of a flowslide is of paramount importance in order to obtain accurate results for real cases. The principal goal of the present work is to clarify the influence of the type of viscous model—pure cohesive versus pure frictional—with the numerical reproduction of two different real flowslides that occurred in 1966: the Aberfan flowslide and the Gypsum tailings impoundment flowslide. In the present work, a depth-integrated model based on the v-pw Biot–Zienkiewicz formulation, enhanced with a diffusion-like equation to account for the pore pressure evolution within the soil mass, is applied to both 1966 cases. For the Aberfan flowslide, a frictional viscous model based on Perzyna viscoplasticity is considered, while a pure cohesive viscous model (Bingham model) is considered for the case of the Gypsum flowslide. The numerical approach followed is the SPH method, which has been enriched by adding a 1D finite difference grid to each SPH node in order to improve the description of the pore water evolution in the propagating mixture. The results obtained by the performed simulations are in agreement with the documentation obtained through the UK National Archive (Aberfan flowslide) and the International Commission of large Dams (Gypsum flowslide).

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A viscoplastic approach to the behaviour of fluidized geomaterials with application to fast landslides

Cited by 34 publications

References 96 publications

Fast Landslide Propagation: Alternative Modelling Techniques

Fast Landslide Propagation: Alternative Modelling Techniques

A depth average SPH model including μ(I) rheology and crushing for rock avalanches

Modelling of Fluidised Geomaterials: The Case of the Aberfan and the Gypsum Tailings Impoundment Flowslides

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