  Pipelines tubes are part of vital mechanical systems largely used in
petrochemical industries. They serve to transport natural gases or liquids.
They are cylindrical tubes and are submitted to the risks of corrosion due to
high PH concentrations of the transported liquids in addition to fatigue cracks
due to the alternation of pressure-depression of gas along the time, initiating
therefore in the tubes body micro-cracks that can propagate abruptly to lead to
failure. The development of the prognostic process for such systems increases
largely their performance and their availability, as well decreases the global
cost of their missions. Therefore, this paper deals with a new prognostic
approach to improve the performance of these pipelines. Only the first mode of
crack, that is, the opening mode, is considered.
