Abstract
This paper presents a depth integrated, two-layer SPH new model for debris flows with finite differences meshes associated to nodes to describe pore pressure evolution. The proposed model is applied to describe how the flow evolves when arriving at a grid where pore pressure is made zero.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 12(2), 155–164 (1941)
Biot, M.A.: Theory of elasticity and consolidation for a porous anisotropic solid. J. Appl. Phys. 26(2), 182–185 (1955)
Zienkiewicz, O.C., Shiomi, T.: Dynamic behaviour of saturated porous media; the generalized Biot formulation and its numerical solution. Int. J. Numer. Anal Methods Geomech. 8(1), 71–96 (1984)
Pitman, E.B., Le, L.: A two-fluid model for avalanche and debris flows. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 363(1832), 1573–1601 (2005)
Pudasaini, S.P.: A general two-phase debris flow model. J. Geophys. Res. Earth Surf. 117(F3), F03010 (2012). https://doi.org/10.1029/2011JF002186
Pastor, M., Yague, A., Stickle, M.M., Manzanal, D., Mira, P.: A two-phase SPH model for debris flow propagation. Int. J. Numer. Anal. Methods Geomech.
Saint-Venant, A.: Theorie du mouvement non permanent des eaux, avec application aux crues des rivieres et a l’introduction de marees dans leurs lits. Comptes-Rendus l’Académie Des Sci. 73, 147–273 (1871)
Savage, S.B., Hutter, K.: The motion of a finite mass of granular material down a rough incline. J Fluid Mech. 199, 177–215 (1989)
Savage, S.B., Hutter, K.: The dynamics of avalanches of granular materials from initiation to runout Part I: analysis. Acta Mech. 86(1–4), 201–223 (1991)
Laigle, D., Coussot, P.: Numerical modeling of mudflows. J. Hydraul. Eng. 123(7), 617–623 (1997)
McDougall, S., Hungr, O.: A model for the analysis of rapid landslide motion across three-dimensional terrain. Can. Geotech. J. 41(6), 1084–1097 (2004). https://doi.org/10.1139/t04-052
Pastor, M., Quecedo, M., FernÁndez Merodo, J.A., Herrores, M.I., GonzÁlez, E., Mira, P.: Modelling tailings dams and mine waste dumps failures. Géotechnique 52(8), 579–591 (2002)
Pastor, M., Blanc, T., Pastor, M.J.: A depth-integrated viscoplastic model for dilatant saturated cohesive-frictional fluidized mixtures: application to fast catastrophic landslides. J. Nonnewton Fluid Mech. 158(1–3), 142–153 (2009). https://doi.org/10.1016/j.jnnfm.2008.07.014
Quecedo, M., Pastor, M., Herreros, M.I.: Numerical modelling of impulse wave generated by fast landslides. Int. J. Numer. Methods Eng. 59(12), 1633–1656 (2004)
Li, S., Liu, W.K.: Meshfree Particle Methods, 1st edn. Springer, Heidelberg (2004)
Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method (2003)
Rodriguez-Paz, M., Bonet, J.: A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Comput. Struct. 83(17–18), 1396–1410 (2005)
Yifru, A.L., Laache, E., Norem, H., Nordal, S., Thakur, V.: Laboratory investigation of performance of a screen type debris-flow countermeasure. HKIE Trans. 25(2), 129–144 (2018)
Yifru, A.L., Vicari, H., Nordal, S., Thakur, V.: Laboratory investigation of the impact force of debris flow on a passable structure. In: The XVII European Conference on Soil Mechanics and Geotechnical Engineering (XVII ECSMGE-2019), Reykjavik (2019)
Pastor, M., Yague, A., Stickle, M.M., Manzanal, D., Mira, P.: A two-phase SPH model for debris flow propagation. Int. J. Numer. Anal. Methods Geomech. 42(3), 418–448 (2018). https://doi.org/10.1002/nag.2748
Acknowledgements
The authors gratefully acknowledge the financial help of the Spanish MINECO (Project BIA2016–76253-ALAS: advanced Modelling of Landslides).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Tayyebi, S.M., Pastor, M., Yifru, A.L., Thakur, V., Stickle, M.M. (2021). Depth Integrated Two-Layer Coupled SPH Models for Debris Flows Simulation. In: Barla, M., Di Donna, A., Sterpi, D. (eds) Challenges and Innovations in Geomechanics. IACMAG 2021. Lecture Notes in Civil Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-030-64518-2_58
Download citation
DOI: https://doi.org/10.1007/978-3-030-64518-2_58
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-64517-5
Online ISBN: 978-3-030-64518-2
eBook Packages: EngineeringEngineering (R0)