Axisymmetric gravity currents in anisotropic porous media

We explore the motion of an axisymmetric gravity current in anisotropic porous medium which horizontal permeability is larger than vertical permeability. It well known that classical supplied by a constant point source fluid has unphysical singularity near origin. address this considering pressure-dominated region origin allows for flow from source, such remains finite depth, whilst beyond dominated. At early times inner pressure-driven controls spreading current, but at late occupies progressively smaller fraction radius increases as ${\sim }t^{3/7}$ , while depth approximately }t^{1/7}$ . The presence anisotropy highlights phenomenon, since maintains effect on through Using these results we provide some quantitative insights into dominant dynamics CO $_2$ migration permeable aquifers, occurs context carbon capture and storage.