Abstract
On 13 August 2010, significant debris flows were triggered by intense rainfall events in Wenchuan earthquake-affected areas, destroying numerous houses, bridges, and traffic facilities. To investigate the impact force of debris flows, a fluid–structure coupled numerical model based on smoothed particle hydrodynamics is established in this work. The debris flow material is modeled as a viscous fluid, and the check dams are simulated as elastic solid (note that only the maximum impact forces are evaluated in this work). The governing equations of both phases are solved respectively, and their interaction is calculated. We validate the model with the simulation of a sand flow model test and confirm its ability to calculate the impact force. The Wenjia gully and Hongchun gully debris flows are simulated as the application of the coupled smoothed particle hydrodynamic model. The propagation of the debris flows is then predicted, and we obtain the evolution of the impact forces on the check dams.
Similar content being viewed by others
References
Beguería S, Van Asch TWJ, Malet JP, Gröndahl S (2009) A GIS-based numerical model for simulating the kinematics of mud and debris flows over complex terrain. Nat Hazards Earth Syst Sci 9:1897–1909
Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P (1996) Meshless methods: an overview and recent developments. Comput Methods Appl Mech Eng 139(1–4):3–47
Bonet J, Lok TSL (1999) Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Comput Methods Appl Mech Eng 180(1):97–115
Cascini L, Cuomo S, Pastor M, Sorbino G, Piciullo L (2014) SPH run-out modelling of channelised landslides of the flow type. Geomorphology 214:502–513
Chen CL (1988) Generalized viscoplastic modeling of debris flow. J Hydraul Eng 114(3):237–258
Chen H, Lee CF (2000) Numerical simulation of debris flows. Can Geotech J 37(1):146–160
Chen ZY, Dai ZL, Huang Y, Bian GQ (2013) Numerical simulation of large deformation in shear panel dampers using smoothed particle hydrodynamics. Eng Struct 48:245–254
Cleary PW, Sawley M, Ha J (2001) Modelling industrial fluid flow application using SPH. in Proc. 5th International Workshop on Bifurcation and Localisation in Soils and Rock, Balkema.
Cleary PW, Prakash M, Ha J, Stokes N, Scott C (2007) Smooth particle hydrodynamics: status and future potential. Prog Comput Fluid Dyn, an Int J 7(2–4):70–90
Dai ZL, Huang Y (2014) 3D numerical modeling using smoothed particle hydrodynamics of flow-like landslide propagation triggered by the 2008 Wenchuan earthquake. Eng Geol 180:21–33
Dai Z, Huang Y, Deng W, Jiang F, Wang D (2016) Constitutive flow behavior of a municipal solid waste simulant at post-failure: experimental and numerical investigations. Environ Earth Sci 75(11):1–9
Fraccarollo L, Papa M (2000) Numerical simulation of real debris-flow events. Phys Chem Earth, Part B: Hydrol Oceans Atmos 25(9):757–763
Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherial stars. Mon Not Royal Astron 181:375–389
Gomez-Gesteira M, Rogers BD, Dalrymple RA, Crespo AJC (2010) State-of-the-art of classical SPH for free-surface flows. J Hydraul Res 48(S1):6–27
Gray JP, Monaghan JJ, Swift RP (2001) SPH elastic dynamics. Comput Methods Appl Mech Eng 190(49):6641–6662
Haehnel RB, Daly SF (2004) Maximum impact force of woody debris on floodplain structures. J Hydraul Eng 130(2):112–120
Han Z, Chen G, Li Y, Tang C, Xu L, He Y, Huang X, Wang W (2015) Numerical simulation of debris-flow behavior incorporating a dynamic method for estimating the entrainment. Eng Geol 190:52–64
Hu KH, Wei FQ, Li Y (2011) Real-time measurement and preliminary analysis of debris-flow impact force at Jiangjia Ravine, China. Earth Surf Process Landf 36(9):1268–1278
Hu W, Xu Q, Rui C, Huang RQ, van Asch TWJ, Zhu X, Xu QQ (2015) An instrumented flume to investigate the initiation mechanism of the post-earthquake huge debris flow in the southwest of China. Bull Eng Geol Environ 74(2):393–404
Huang HP, Yang KC, Lai SW (2007) Impact force of debris flow on filter dam. Geophys Res Abstr Eur Geosci Un 9:03218
Huang Y, Cheng H, Dai Z, Xu Q, Liu F, Sawada K, Moriguchi S, Yashima A (2015) SPH-based numerical simulation of catastrophic debris flows after the 2008 Wenchuan earthquake. Bull Eng Geol Environ 74(4):1137–1151
Hungr O, Morgan GC, Kellerhals R (1984) Quantitative analysis of debris torrent hazard for design of remedial measures. Can Geotech J 21:663–677
Iverson RM (1997) The physics of debris flows. Rev Geophys 35(3):245–296
Jakob M, McDougall S, Weatherly H, Ripley N (2013) Debris-flow simulations on Cheekye River, British Columbia. Landslides 10(6):685–699
Jiang YJ, Towhata I (2013) Experimental study of dry granular flow and impact behavior against a rigid retaining wall. Rock Mech Rock Eng 46(4):713–729
Jiang YJ, Zhao Y (2015) Experimental investigation of dry granular flow impact via both normal and tangential force measurements. Géotechnique Letters 5(1):33–38
Laigle D, Coussot P (1997) Numerical modeling of mudflows. J Hydraul Eng 123(7):617–623
Laigle D, Lachamp P, Naaim M (2007) SPH-based numerical investigation of mudflow and other complex fluid flow interactions with structures. Comput Geosci 11(4):297–306
Leonardi A, Wittel FK, Mendoza M, Vetter R, Herrmann HJ (2015) Particle-fluid-structure interaction for debris flow impact on flexible barriers. Computer-Aided Civil and Infrastructure Engineering.
Libersky LD, Randles PW, Carney TC, Dickinson DL (1997) Recent improvements in SPH modeling of hypervelocity impact. Int J Impact Eng 20(6):525–532
Lee ES, Moulinec C, Xu R, Violeau D, Laurence D, Stansby P (2008) Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method. J Comput Phys 227(18):8417–8436
Liu MB, Liu GR (2010) Smoothed particle hydrodynamics (SPH): an overview and recent developments. Arch Comput Methods Eng 17(1):25–76
Lucy LB (1977) A numerical approach to the testing of fusion processes. Astron J 82:1013–1024
Luna BQ, Remaître A, Van Asch TW, Malet JP, Van Westen CJ (2012) Analysis of debris flow behavior with a one dimensional run-out model incorporating entrainment. Eng Geol 128:63–75
Marr JG, Elverhøi A, Harbitz C, Imran J, Harff P (2002) Numerical simulation of mud-rich subaqueous debris flows on the glacially active margins of the Svalbard–Barents Sea. Mar Geol 188(3):351–364
Minatti L, Pasculli A (2011) SPH numerical approach in modelling 2D muddy debris flow. In: International Conference on Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment, Proceedings: 467–475.
Monaghan JJ (1994) Simulating free surface flows with SPH. J Comput Phys 110(2):399–406
Monaghan JJ, Gingold RA (1983) Shock simulation by the particle method SPH. J Comput Phys 52:374–389
Moriguchi S, Borja RI, Yashima A, Sawada K (2009) Estimating the impact force generated by granular flow on a rigid obstruction. Acta Geotech 4(1):57–71
Naef D, Rickenmann D, Rutschmann P, McArdell BW (2006) Comparison of flow resistance relations for debris flows using a one-dimensional finite element simulation model. Nat Hazards Earth Syst Sci 6(1):155–165
Pasculli A, Minatti L, Sciarra N, Paris E (2013) SPH modeling of fast muddy debris flow: numerical and experimental comparison of certain commonly utilized approaches. Ital J Geosci 132(3):350–365
Pastor M, Blanc T, Haddad B, Petrone S, Morles MS, Drempetic V, Issler D, Crosta GB, Cascini L, Sorbino G, Cuomo S (2014) Application of a SPH depth-integrated model to landslide run-out analysis. Landslides 11(5):793–812
Rabczuk T, Belytschko T, Xiao SP (2004) Stable particle methods based on Lagrangian kernels. Comput Methods Appl Mech Eng 193(12):1035–1063
Randles PW, Libersky LD (2000) Normalized SPH with stress points. Int J Numer Methods Eng 48(10):1445–1462
Remaître, A. (2006) Morphologie et dynamique des laves torrentielles: applications aux torrents des Terres Noires du bassin de Barcelonnette (Alpes du Sud), Ph.D. thesis
Revellino P, Hungr O, Guadagno FM, Evans SG (2004) Velocity and runout simulation of destructive debris flows and debris avalanches in pyroclastic deposits, Campania region, Italy. Environ Geol 45(3):295–311
Rickenmann D, Laigle DMBW, McArdell BW, Hübl J (2006) Comparison of 2D debris-flow simulation models with field events. Comput Geosci 10(2):241–264
Shieh CL, Jan CD, Tsai YF (1996) A numerical simulation of debris flow and its application. Nat Hazards 13(1):39–54
Shieh CL, Ting CH, Pan HW (2008) Impulsive force of debris flow on a curved dam. Int J Sediment Res 23(2):149–158
Shao S, Lo EYM (2003) Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv Water Resour 26(7):787–800
Shan T, Zhao J (2014) A coupled CFD-DEM analysis of granular flow impacting on a water reservoir. Acta Mech 225(8):2449–2470
Tang C, van Asch TWJ, Chang M, Chen GQ, Zhao XH, Huang XC (2010) Catastrophic debris flows on 13 August 2010 in the Qingping area, southwestern China. Geomorphology 139:559–576
Tang C, van Asch TWJ, Chang M, Chen GQ, Zhao XH, Huang XC (2012) Catastrophic debris flows on 13 August 2010 in the Qingping area, southwestern China: the combined effects of a strong earthquake and subsequent rainstorms. Geomorphology 139:559–576
Tang C, Zhu J, Li WL (2009) Rainfall-triggered debris flows following the Wenchuan earthquake. Bull Eng Geol Environ 68:187–194
Wang W, Chen G, Han Z, Zhou S, Zhang H, Jing P (2016) 3D numerical simulation of debris-flow motion using SPH method incorporating non-Newtonian fluid behavior. Nat Hazards 81(3):1981–1998
Wendeler C, Volkwein A, Roth A, Denk M, Wartmann S (2007) Field measurements and numerical modelling of flexible debris flow barriers. Debris-Flow Hazards Mitig. Mech. Predict. Assess. Millpress, Rotterdam, pp. 681–687
Xu Q (2010) The 13 August 2010 catastrophic debris flows in Sichuan Province: characteristics, genetic mechanism and suggestions. J Eng Geol 18(5):596–608 (in Chinese)
Xu Q, Pei XJ, Huang RQ (2009) Large-scale landslides induced by the Wenchuan earthquake. Science Press, Beijing (in Chinese)
Xu Q, Zhang S, Li WL, Van Asch TW (2012) The 13 August 2010 catastrophic debris flows after the 2008 Wenchuan earthquake, China. Nat Hazards Earth Syst Sci 12(1):201–216
Yu B, Ma Y, Wu YF (2013) Case study of a giant debris flow in the Wenjia Gully, Sichuan Province, China. Nat Hazards 65:835–849
Zanuttigh B, Lamberti A (2006) Experimental analysis of the impact of dry avalanches on structures and implication for debris flows. Int J Hydraul Resour 44(4):522–534
Zanchetta G, Sulpizio R, Pareschi MT, Leoni FM, Santacroce R (2004) Characteristics of May 5–6, 1998 volcaniclastic debris flows in the Sarno area (Campania, southern Italy): relationships to structural damage and hazard zonation. J Volcanol Geotherm Res 133(1):377–393
Zhang S (1993) A comprehensive approach to the observation and prevention of debris flows in China. Nat Hazards 7:1–23
Zhang Y, Wei FQ, Wang Q (2007) Experimental research of reinforced concrete buildings struck by debris flow in mountain areas of western China. Wuhan Univ J Nat Sci 12(4):645–650
Acknowledgments
This work was supported by the National Science Fund for Distinguished Young Scholars of China (Grant No. 41625011), the National Basic Research Program of China (973 Program) through Grant No. 2012CB719803, the Open Fund of Hubei Key Laboratory of Disaster Prevention and Reduction, China (Three Gorges University), through Grant No. 2016KJZ06, the National Science Fund for Distinguished Young Scholars of China (Grant No. 41225011), and the Chang Jiang Scholars Program of China.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dai, Z., Huang, Y., Cheng, H. et al. SPH model for fluid–structure interaction and its application to debris flow impact estimation. Landslides 14, 917–928 (2017). https://doi.org/10.1007/s10346-016-0777-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10346-016-0777-4