Keyword: «inverse problem»

The inverse problem of determining the gas mass flow by measurements of wellhead pressure with a cross-section of the well varying in length and time is solved by mathematical modeling methods, which makes it possible to identify signs of hydrate formation in it, consisting in different dynamics of pressure and temperature distribution. The results of a computational experiment were compared for two wells of the Otradninsky gas condensate field, the exploitation of which indicates that the most likely cause of complications is the gas hydrates formation both in the bottom-hole zone and in the borehole and their plumes. The influence of geocryological conditions and pressure drop in wells on the dynamics of hydrate plug formation and on the total amount of produced gas is shown.

A method for thermal diagnostics of friction for self-lubricating sliding bearings is proposed, which makes it possible to determine frictional heat generation and friction torque from temperature measurements in sliding bearings. The method is reduced to measuring the temperature in the vicinity of the friction zone, constructing a mathematical model, and solving the boundary inverse problem of restoring frictional heat generation and, accordingly, the friction torque. An algorithm for iterative regularization of the inverse problem for determining the function of frictional heat generation and a condition for stopping the iterative process are proposed. Numerical calculations show that the accuracy of restoring the specific intensity function of frictional heat generation using the developed algorithm for solving the inverse problem is commensurate with the accuracy of specifying temperature information.