A unified modelling and simulation for coupled anomalous transport in porous media and its finite element implementation

Abstract This paper presents an unified mathematical and computational framework for mechanics-coupled “anomalous” transport phenomena in porous media. The anomalous diffusion is mainly due to variable fluid flow rates caused by spatially temporally varying permeability. type of behaviour described a fractional pore pressure equation. transient significantly affected the order operators. In solve 3D consolidation problems large scale structures, equation implemented finite element adopting discretised formulation derivatives given Grunwald–Letnikov (GL). Here commercial software Abaqus through open-source UMATHT subroutine. similarity between pressure, heat hydrogen also discussed show that it possible use coupled thermal-stress analysis problems.