Performance of a new highly conductive adsorbent matrix for ANG systems was evaluated. The adsorbent composite block (ACB) was a mixture of superactivated carbon, labeled MAXSORB and expanded natural graphite (ENG), followed by, consolidation. ENG was used both as a very high conductive matrix and as support for adsorbents. Thermal conductivity, is 30 times higher than that of activated carbon packed bed. Dynamic methane discharges were studied experimentally, with a 2-L vessel filled with ACB. The influence of both the discharge flow rate and heat-exchange conditions at the reactor wall on the delivered methane capacity was investigated. The modeling of the discharge process, validated from experimental results, shows the efficiency, of this ACB with a 100-V/V delivered methane capacity, under various working conditions.