A B S T R A C TWe estimate the quality factor (Q) from seismic reflections by using a tomographic inversion algorithm based on the frequency-shift method. The algorithm is verified with a synthetic case and is applied to offshore data, acquired at western Svalbard, to detect the presence of bottom-simulating reflectors (BSR) and gas hydrates. An array of 20 ocean-bottom seismographs has been used.The combined use of traveltime and attenuation tomography provides a 3D velocity-Q cube, which can be used to map the spatial distribution of the gas-hydrate concentration and free-gas saturation. In general, high P-wave velocity and quality factor indicate the presence of solid hydrates and low P-wave velocity and quality factor correspond to free-gas bearing sediments.The Q-values vary between 200 and 25, with higher values (150-200) above the BSR and lower values below the BSR (25-40). These results seem to confirm that hydrates cement the grains, and attenuation decreases with increasing hydrate concentration.