A proposed analytic technique for prognostic based on the degradation function

The earlier recent developments in system design technology like in aerospace, defense, petro-chemistry and automobiles have the goal to ensure high availability of these industrial systems. Pipelines tubes are part of vital mechanical systems largely used in petrochemical industries. They serve to transport oil and natural gases. We will consider here three cases: unburied, buried, and under water pipes (offshore pipes). They are subject, according to each case, to the risks of corrosion due to high PH concentrations of transported liquids, to soil friction, in addition to fatigue cracks due to the alternation internal pressure-depression along the exploitation period. Consequently initiating in the tubes' body micro-cracks that can propagate suddenly leading to failure. The development of the prognostic process for such systems increases largely their performance, their availability, and reduces the global cost of their missions. Therefore, we proposed here a new prognostic approach based on analytic laws of degradation. The Remaining Useful Lifetime (RUL) is estimated from a predefined threshold of degradation D.