Geological formations considered as potential candidates for the siting of radioactive waste repositories must contain no or little circulating ground water since, over the long term, ground water could transport particular radionuclides over long distances and even back to the biosphere. It is therefore essential that every candidate disposal formation be carefully evaluated in relation to its potential for transmitting fluids. Since suitable formations are necessarily characterized by negligible fluid flows, the above requirement implies some capability of measuring extremely low permeabilities in situ. The types of rocks that have been frequently considered as potential host materials for radioactive waste are rock salt, argillaceous sediments and crystalline rocks. Some countries with geologic disposal programmes are conducting or planning field experiments of various kinds. They are all confronted with the problem of how to measure very low permeabilities in situ. The OECD Nuclear Energy Agency in cooperation with the International Atomic Energy Agency organized this meeting. These proceedings constitute a record of the papers presented and the discussions held during the workshop.