Abstract: The invention relates to: a method for monitoring a process engineering installation, in which a model of the process engineering installation is used to ascertain values of at least one performance parameter of the process engineering installation from actual values of at least one operating parameter of the process engineering installation that occur during operation of the process engineering installation, wherein the model is used to ascertain comparison values of the at least one performance parameter of the process engineering installation from setpoint values of the at least one operating parameter, and wherein mutually corresponding values and comparison values of the at least one performance parameter are taken as a basis for ascertaining at least one performance gap in the operation of the process engineering installation and to a process engineering installation.

Abstract: The present invention relates to a method for determining a number of mechanical stresses (304) prevailing at different first locations in a material of a process engineering apparatus (1), wherein the number of mechanical stresses (304) prevailing at the different first locations in the material of the process engineering apparatus (1) is determined from a number of temperatures (301) prevailing at different second locations in the material of the process engineering apparatus using an empirical model (M3), the empirical model (M3) being trained by means of training data (207?), which are derived using a thermos-hydraulic process Simulation model (M1) and a structural-mechanical model (M2) of the process engineering apparatus (1).

Abstract: A remaining service life of a process-engineering apparatus through which fluid flows and which is embodied as a heat exchanger, column, or container for phase separation is acquired. A computing unit is mounted on the apparatus and coupled to a remote computing unit. Temperature measurement values are obtained by a plurality of sensors arranged in or on the apparatus. Mechanical stress is acquired as a characteristic variable not directly measurable from the measurement values of the temperature. The remaining service life is acquired from the mechanical stress. The mechanical stress is acquired by means of the computing unit and the mechanical stress and/or the temperature measurement values are transmitted to the remote computing unit, and the remaining service life is acquired there. Alternatively, the temperature measurement values are transmitted to the remote computing unit, and the mechanical stress and remaining service life are acquired there.