We present our new multiscale pairwise-force smoothed particle hydrodynamics (PF-SPH) model for the characterization of flow in fractured porous media. The fully coupled PF-SPH is able to simulate dynamics a and permeable matrix adjacent fractures. Porous medium governed by volume-effective Richards equation, while fractures Navier-Stokes equation. Flow from fracture modeled an efficient remova...

Extreme rainfall events are the major driver of shallow landslide occurrences in mountainous and steep terrain regions around the world. Subsurface hydrology has a dominant role on the initiation of rainfall-induced shallow landslides, since changes in the soil water content affect significantly the soil shear strength. Rainfall infiltration produces an increase of soil water potential, which i...

in this paper we study a representation of a fuzzy subgroup $mu$ of a group $g$, as a product of indecomposable fuzzy subgroups called the components of $mu$.  this representation is unique up to the number of components and their isomorphic copies. in the crisp group theory, this is a well-known theorem attributed to remak, krull, and schmidt. we consider the lattice of fuzzy subgroups and som...