We discuss numerical modelling of 2D geosynthetic tubes on rigid and deformable foundation. Our mathematical model is a slight extension of previous ones in (Plaut and Suherman [11]) where the density of slurry material in tubes is constant. Now, density is a function linked to components of slurry material. Also, a simple and efficient numerical method is proposed endorsed by the series of experiments.JOZEF KAČUR et al. 28