Granular filtration phenomenon is fundamentally investigated using dissipative hydrodynamics with a large collector grain and a non-Brownian sphere. Effects of interparticle forces balanced with hydrodynamic interactions are studied for particle trajectory analysis. In addition to conventional deposition of fine particles on collector surfaces (mostly near front hemispheres), the hydrodynamic trapping of rotating fine particles on the back hemisphere surface is fundamentally investigated using the exact solution of two-body hydrodynamics.