Marshrutkas head to Zugdidi and on to Abkhazia from the bus stations in Batumi and Kutaisi, and Tbilisi. Poti is the easiest destination to get to, and is widely served by public transport. Marshrutkas also make the long, steep climb from Kutaisi and Tbilisi to the Svan capital, Mestia.
If you happen to be a Russian citizen, it is quite possible to go to Abkhazia overland from Krasnodar Krai, but this border is closed to other nationals.
