Abstract: A system, or apparatus combination, and apparatus components, for the measurement of fluid flow. Such system, or apparatus can be used, e.g., for measuring the amount or flow of drilling fluid, or mud, introduced into a well bore, the amount or flow of mud returned from the well bore, and differences in flow rate and density between the mud introduced into the well bore and the mud returned from the well bore. The system measures or calculates, inter alia, flow rates, viscosity, temperature, density and gas content and compensates for variations; and in marine installations the system additionally measures vessel motion and compensates for wave and tide motions.