Simulation of Viscoelastic Fingering Instability in Anisotropic Velocity-Dependent Dispersion Tensor

In this study, the viscous fingering instability in miscible displacement of Newtonian fluid by viscoelastic fluid in an anisotropic porous media is investigated for the first time. The Oldroyd-B model has been used as the constitutive equation. The roll of velocitydependent transverse and longitudinal dispersions on the fingering instability is investigated through linear stability analysis and nonlinear simulations. The results of linear stability analysis show that the growth rate of instability is decreased by increasing the rate of transverse to longitudinal dispersions and the flow becomes more stable. The nonlinear simulations are performed by use of spectral method and Hartly transformation and the results are included concentration contours, transversely averaged concentration profiles, mixing length and sweep efficiency. The results show that the flow becomes more unstable by increasing the rate of longitudinal to transverse dispersions.