Evaluation of geometrical characteristics and capacity of vertical cylindrical tanks by least square method

Sergii Pronenko, Olexandr Samoylenko, J.-R Filtz, B. Larquier, P. Claudel, J.-O. Favreau
2013 16th International Congress of Metrology   unpublished
L'evaluation des caracteristiques geometriques et capacite de reservoirs cylindriques verticaux par la methode des moindres carres Mots clés: réservoir, caractéristique géométrique, méthode des moindres carrés, modèle de la forme Abstract. It has been proposed strict, from least square method (LSM), solution of evaluation geometrical parameters of vertical cylindrical tank (cylindrical part mean radius, tank tilt, axial tilt directional angle, radial deviations of tank wall from approximate
more » ... nder) by point coordinates at the tank wall that are calculated by the measurement results of horizontal and vertical angles and distances by electronic total stations and scanners. For strict record of measurement uncertainty while approximation by LSM, it has been proposed to use their correlation matrix. It has been proposed simple model of evaluation resulting relative uncertainty of tank and course capacity, that include A-type uncertainty, evaluated as standard radial deviation and B-type uncertainty, evaluated on the base of metrological researches of the instruments that are used during measurements.
doi:10.1051/metrology/201306006 fatcat:pv4lclrsmzaxxhr4eb366hbuvi