An Arbitrary Lagrangian Eulerian (ALE) finite difference (FD)‐SPH depth integrated model for pore pressure evolution on landslides over erodible terrains
Manuel Pastor, Saeid Moussavi Tayyebi, Miguel Martín Stickle, Miguel Molinos, Ángel Yagüe, Diego Manzanal, Pedro Navas
Abstract
Abstract Entrainment of saturated bed material increases the mobility of fast landslides. The distribution of excess pore pressures changes in the body of the landslide, as the material entering it has much lower effective confining stresses which results on much smaller apparent basal friction angles. The purpose of this paper is to enhance the Finite Differences depth integrated SPH model developed by the authors to cope with material which is flowing up the FD meshes. The model is set within an Arbitrary Lagrangian Eulerian framework (ALE), and the resulting excess pore pressure evolution model will include now advective terms in addition to the diffusive and source terms. In order to assess the importance of the proposed modification, we introduce a basal Péclet number which relates two non dimensional reference times of consolidation and erosion.