Khirevich's scientific and research interests relate to computer simulations of transport (flow, diffusion, hydrodynamic dispersion) in complex geometries, addressing such aspects of this topic as computer generation of porous media, its geometrical analysis, accuracy of transport simulations, and structure-transport correlations. For simulations he heavily employs the lattice Boltzmann and random-walk particle-tracking methods both implemented for efficient execution on supercomputing platform at a scale.

Transport in Porous Media, Lattice Boltzmann Method, Large scale/High capacity computing.