A system and method for calibrating discharge coefficients using either an orifice plate flow rate meter or a venturi flow rate meter in a well operation is provided. Using differential pressures obtained from the flow rate meter along with real time calibration of the discharge coefficient with density and rheology data, the flow rate meter can be used in a much more analytical manner. In this way, real time detection of influx or cuttings can be determined in real time, along with estimated concentrations.
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