Abstract
For the transport of gas or water, it is generally welding by heater which is used for the butting together of the tubes. The quality of the joint is influenced by the choice of the parameters of welding, the geometry of the tubes and the environment. It is not possible of determine analytically the optimal parameters of welding according to dimensions of the tubes. This paper describes the models of extrapolation, which makes it possible to transpose the optimal parameters and strong thickness of welding for tubes of large diameter previously determined using smaller tubes. The first chapter of the paper is primarily centred on an analysis of the process of welding end to end by heater. A mathematic description of the various phases of the process leads to coefficients without dimension. The models used for the determination of the parameters of welding result in the invariance of these coefficients. Keywords: optimization, mathematical model, heated tool butt welding, hydro – carbon (HD-PE), transporting pipelines