We analyze drag and drop of pores filled with a fluid phase, e.g., water or melt, in which the constituting elements of the solid matrix are dissolved. Assuming that the diffusion through the fluid-phase dominates bulk transport kinetics, we address the problem of pore motion and calculate the pore mobility and the critical velocity of elongated and lenticular pores on a grain boundary for arbitrary dihedral angle. The found variations in critical velocity and mobility with dihedral angle are modest for given volume of pores with the two considered geometries. For given pore size, however, the dependence on dihedral angle accounts for several orders of magnitude in pore mobility and critical velocity.