Relaxation of the intergranular critical state has been observed at a very low applied magnetic field (10-50 Oe) over a temperature regime of 20-77 K in bulk polycrystalline YBa(2)Cu(3)O(7-x) (YBCO) and Bi(1.75)Pb(0.35)Sr(2)Ca(2)Cu(3)O(10+x) (BPSCCO) samples. In such a disordered Josephson junction network, the relaxation is slower than the intragranular relaxation and, hence, it yields higher flux pinning energy U0 than the corresponding intragranular values. Silver addition seems to have given rise to much uniformity in the grain boundary characteristics which results in sharp drop in the flux pinning energy since it depends on the variation of the junction coupling energy EJ across the network. While U0 ~ 0.5 and 0.55 eV for the parent BPSCCO and YBCO samples, respectively, in silver added (10-15 wt%) samples the corresponding values are ~0.15 and 0.27 eV. The distribution functions m(U) for the flux pinning energy and n(theta) for the grain boundary mis-alignment angle(theta) have been evaluated from the experimentally observed patterns of magnetic relaxation and variation of the grain boundary critical fields with temperature. The distribution functions become narrower in the case of silver added samples reflecing a reduction in the degree of disorder. The variation of the effective vortex mass m* with the variation in the degree of disorder is observed. Considering the width of the superconducting transition delTc as the measure of the degree of disorder (inhomogeneity), it has been shown that the transport critical current density Jc follows a relationship Jc \~exp(-delTc) while the flux pinning energy U ~ delTc. These relations may help in devising a suitable strategy for achieving the desired effect : high Jc yet slower decay rate, i.e., large U.