Poroelastoplastic Modeling of Shear Bands Using Curvilinear Spectral Element Method and more art by [5] Anatoly Vershinin

The picture presents the results of a numerical solution of the problem of the development of zones of localization of elastoplastic deformation (plastic shear bands) in the vicinity of a well drilled in a porous rock saturated with fluid, as a result of a stepwise decrease in pressure in the well relative to the pore pressure in the rock at a distance from the well.

For the numerical solution of the problem posed, a variational (weak) formulation based on the Galerkin method and the isoparametric spectral element method was used to discretize the geometric model and equations in space on curvilinear unstructured meshes, allowing to discretize a curvilinear shape of the well with a high precision and at the same moment to provide an unstructured mesh coarsening (increasing the size of spectral elements) at the distance from the well.

The presented plastic deformations distribution was computed at the spectral element mesh of the 15th order. The calculations were carried out on a high-performance computing station HP Apollo based on NVIDIA Tesla V100 graphics cards.