  Work is devoted to physics of current transport in a wide class of the
hetero-phase granulated mediums and similar systems with set of metal or
semi-conductor granules, quantum dots or potential wells in which the exit from
Coulomb blockade tunneling regime can be not observable because of irreversible
breakdown and destruction of structure of medium. Such systems also concern and
the condensed mediums with short distanced atoms of transition elements. In
article for small and average electric fields the analytical decision of a
stationary problem of discrete electronic transport through a chain of as much
as big number of metal granules in area Coulomb tunneling blockade is
performed. It is deduced the exponential law of growth of a current with
electric field in such granulated systems. The characteristic feature of
discrete tunneling in such medium is the volt-ampere characteristic type I
exp(V/(N+1)kT) with great value N>> 1. Examples of application of the theory
for explanation of current transport in porous silicon, synthesised by ionic
implantation of nitrogen in silicon layers of nitride of silicon or glass like
amorphous semiconductors are resulted.
