D-Claw

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II: Numerical predictions and experimental tests. We evaluate a new depth-averaged mathematical model that is designed to simulate all stages of debris-flow motion, from initiation to deposition. A companion paper shows how the model’s five governing equations describe simultaneous evolution of flow thickness, solid volume fraction, basal pore-fluid pressure and two components of flow momentum. Each equation contains a source term that represents the influence of state-dependent granular dilatancy. Here, we recapitulate the equations and analyse their eigenstructure to show that they form a hyperbolic system with desirable stability properties. To solve the equations, we use a shock-capturing numerical scheme with adaptive mesh refinement, implemented in an open-source software package we call D-Claw. As tests of D-Claw, we compare model output with results from two sets of large-scale debris-flow experiments. One set focuses on flow initiation from landslides triggered by rising pore-water pressures, and the other focuses on downstream flow dynamics, runout and deposition. D-Claw performs well in predicting evolution of flow speeds, thicknesses and basal pore-fluid pressures measured in each type of experiment. Computational results illustrate the critical role of dilatancy in linking coevolution of the solid volume fraction and pore-fluid pressure, which mediates basal Coulomb friction and thereby regulates debris-flow dynamics.par For part I, see [].


References in zbMATH (referenced in 16 articles )

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  1. Bueler, Ed: Conservation laws for free-boundary fluid layers (2021)
  2. Garres-Díaz, J.; Fernández-Nieto, E. D.; Mangeney, A.; Morales de Luna, T.: A weakly non-hydrostatic shallow model for dry granular flows (2021)
  3. Montellà, E. P.; Chauchat, J.; Chareyre, B.; Bonamy, C.; Hsu, T. J.: A two-fluid model for immersed granular avalanches with dilatancy effects (2021)
  4. Shi, Huabin; Dong, Ping; Yu, Xiping; Zhou, Yan: A theoretical formulation of dilatation/contraction for continuum modelling of granular flows (2021)
  5. Bachini, Elena; Putti, Mario: Geometrically intrinsic modeling of shallow water flows (2020)
  6. Chalk, C. M.; Pastor, M.; Peakall, J.; Borman, D. J.; Sleigh, P. A.; Murphy, W.; Fuentes, R.: Stress-particle smoothed particle hydrodynamics: an application to the failure and post-failure behaviour of slopes (2020)
  7. Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.: A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches (2020)
  8. Lee, Cheng-Hsien: Two-phase modelling of submarine granular flows with shear-induced volume change and pore-pressure feedback (2020)
  9. Meng, Xiannan; Wang, Yongqi; Chiou, Min-Ching; Zhou, Yunlai: Investigation of influence of an obstacle on granular flows by virtue of a depth-integrated theory (2020)
  10. Heß, Julian; Tai, Yih-Chin; Wang, Yongqi: Debris flows with pore pressure and intergranular friction on rugged topography (2019)
  11. Meng, Xiannan; Wang, Yongqi: Modeling dynamic flows of grain-fluid mixtures by coupling the mixture theory with a dilatancy law (2018)
  12. Navarro, Maria; Le Maître, Olivier P.; Hoteit, Ibrahim; George, David L.; Mandli, Kyle T.; Knio, Omar M.: Surrogate-based parameter inference in debris flow model (2018)
  13. Heß, Julian; Wang, Yongqi; Hutter, Kolumban: Thermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behavior (2017)
  14. Zhang, Yong; Sun, HongGuang; Stowell, Harold H.; Zayernouri, Mohsen; Hansen, Samantha E.: A review of applications of fractional calculus in Earth system dynamics (2017)
  15. Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys: A two-phase two-layer model for fluidized granular flows with dilatancy effects (2016)
  16. George, David L.; Iverson, Richard M.: A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II: Numerical predictions and experimental tests (2014)