It has to be very similar as in any other polycrystalline material excepting the magnitudes. Try to revise books about the effect of grain boundaries on charge transport for polycrystalline materials.
Thank you for your answer! So I can refer to some solid state physics books!
At the same time, I have found some literature about this problem,
[1].Zhang H, Lee G, Gong C, et al. Grain boundary effect on electrical transport properties of graphene[J]. The Journal of Physical Chemistry C, 2014, 118(5): 2338-2343.
[2].Van Tuan D, Kotakoski J, Louvet T, et al. Scaling properties of charge transport in polycrystalline graphene[J]. Nano letters, 2013, 13(4): 1730-1735.
If we are considering charge transfer through the atomic diffusion of ionic species then the grain boundaries may play addition path with much higher mobilities and definitely enhances the overall specific conductivity even though their effective cross section is much smaller than the bulk regions. Because of the low activation enthapy of grain boundary diffusion compared to bulk, in general its contribution to the overall diffusion process is much smaller than the bulk at high temperatures above the certain threshold value. Therefore the grain boundary conduction may dominate the overall conduction.at temperatures below the threshold temperature (i.e., parallel -concurrent-reactions). One has similar behavior for the conduction or the mass transfer through dislocation pipe diffusion.