Estimating flow rate at a pump
A method for determining an estimated flow rate of fluid flow in a pump comprises: obtaining measurements of the pressure and temperature of fluid at the intake to the pump, the pressure and temperature of the fluid at the discharge from the pump, and the electrical power supplied to the pump; determining values representing either the density of the fluid and the specific heat capacity of the fluid, or the specific fluid enthalpy based on measurements and/or historical data; and calculating an estimated efficiency of the pump and an estimated flow rate of the fluid based on the measured electrical power, the measured temperatures, the measured pressures, the determined value for density and the determined value for specific heat capacity or the determined value for specific fluid enthalpy.
1. A method for determining an estimated mass flow rate of multiphase fluids in the oil and gas industry in a pump system including a pump, the method comprising:
obtaining measurements of a pressure and a temperature of a multiphase fluid at an intake to the pump, a pressure and a temperature of the multiphase fluid at a discharge from the pump, and power supplied to the pump system;
determining values representing a specific fluid enthalpy based on measurements and fluid models and/or historical data;
calculating an estimated efficiency of the pump and an estimated mass flow rate of the multiphase fluid based on the supplied power, the measured temperatures, the measured pressures, and the determined value for specific fluid enthalpy;
at least one of
using pump specific efficiency vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump efficiency correspond,
using pump power vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump power correspond, and
obtaining a differential pressure of the pump, and using pump specific differential pressure vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump differential pressure correspond; and
comparing the calculated estimated efficiency of the pump to a manufacturer's prescribed efficiency values of the pump, and when the calculated estimated efficiency of the pump is outside of the manufacturer's prescribed efficiency values, issuing an alert which indicates at least one of an error in measured input data, wear on the pump, damage to the pump, or failure of the pump.
2. The method as claimed in claim 1 , wherein the multiphase fluid passing through the pump is sampled or collected downstream of the pump, with measurements being taken to determine values for the specific enthalpy.
3. The method as claimed in claim 1 , wherein estimated values for the specific fluid enthalpy are used, with the estimated values being derived from fluid property models and from the pressures and temperatures that are measured at the pump intake and discharge.
4. The method as claimed in claim 1 , further comprising modifying a pump device in order that it includes temperature and pressure sensors for the intake and the discharge.
5. The method as claimed in claim 1 , further comprising determining if a stable flow condition exists before using measured temperature and pressure values in the calculating of the estimated efficiency and mass flow rate.
6. The method as claimed in claim 1 , further comprising allowing a predetermined time period to elapse after the system is initiated or after an unstable flow condition is known to be present or has been detected.
7. The method as claimed in claim 6 , further comprising allowing a predetermined time period to elapse after a change is made to a control of the pump or to other flow control devices affecting the flow at the pump.
8. The method as claimed in claim 6 , wherein the predetermined time period is at least 5 minutes.
9. The method as claimed in claim 1 , further comprising checking for changes above a certain threshold in one or more of the measured pressures, the measured temperatures, the power supplied to the pump, or the calculated pump efficiency during a predetermined time period before using measured temperature and pressure values in the calculating of the estimated efficiency and mass flow rate.
10. The method as claimed in claim 1 , further comprising comparing the discharge and intake temperatures and checking that the discharge temperature is higher than or at least the same as the intake temperature.
11. The method as claimed in claim 1 , wherein the calculating of the estimated efficiency for the pump and the estimated mass flow rate is carried out based on an assumption that the power supplied to the pump is converted to mechanical energy and to heat in the pumped fluid, and that there is no loss of either mass or heat.
12. The method as claimed in claim 1 , wherein mass and energy balances are used to determine the mass flow rate based on the measured pressure and temperature values, a known cross-sectional area for the pump, and the determined values for specific fluid enthalpy.
13. The method as claimed in claim 1 , further comprising using calibration data for the pump to determine a gas fraction in the pump for compressible fluids based on the estimated mass flow rate and the efficiency.
14. The method as claimed in claim 1 , wherein the pump is a centrifugal pump.
15. The method as claimed in claim 1 , wherein the pump is an electrical submersible pump (ESP).
16. A non-transient computer programme product comprising instructions that, when executed, will configure a data processing device to carry out the method as claimed in claim 1 .
17. A non-transient computer programme product comprising instructions that, when executed, will configure a data processing device:
to receive measurements of pressure and temperature of a multiphase fluid at an intake to a pump, pressure and temperature of the multiphase fluid at a discharge from the pump, and electrical power supplied to the pump;
to receive or to determine values representing a specific fluid enthalpy, based on measurements and/or historical data;
to calculate an estimated efficiency for the pump and an estimated mass flow rate of the multiphase fluid based on the measured electrical power, the measured temperatures the measured pressures, a known cross-sectional area, and the value for specific fluid enthalpy;
at least one of
to use pump specific efficiency vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump efficiency correspond,
to use pump power vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump power correspond, and
to obtain a differential pressure of the pump, and to use pump specific differential pressure vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump differential pressure correspond; and
to compare the calculated estimated efficiency of the pump to a manufacturer's prescribed efficiency values of the pump, and when the calculated estimated efficiency of the pump is outside of the manufacturer's prescribed efficiency values, to issue an alert which indicates at least one of an error in measured input data, wear on the pump, damage to the pump, or failure of the pump.
18. An apparatus for estimating flow rate of multiphase fluids in the oil and gas industry at a pump, the apparatus comprising a data processing device arranged:
to receive measurements of pressure and temperature of a multiphase fluid at an intake to a pump, pressure and temperature of the multiphase fluid at a discharge from the pump, and electrical power supplied to the pump;
to receive or to determine values representing a specific fluid enthalpy based on measurements and/or historical data;
to calculate an estimated efficiency for the pump and an estimated mass flow rate of the multiphase fluid based on the measured electrical power, the measured temperatures the measured pressures, a known cross-sectional area, and the value for specific fluid enthalpy;
at least one of
to use pump specific efficiency vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump efficiency correspond,
to use pump power vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump power correspond, and
to obtain a differential pressure of the pump, and to use pump specific differential pressure vs mass flow rate curves plotted for varying viscosities of multiphase fluids, determined using calibration data for the pump, to determine a viscosity for the multiphase fluid by determining a viscosity curve with which the estimated flow rate and the estimated pump differential pressure correspond; and
to compare the calculated estimated efficiency of the pump to a manufacturer's prescribed efficiency values of the pump, and when the calculated estimated efficiency of the pump is outside of the manufacturer's prescribed efficiency values, to issue an alert which indicates at least one of an error in measured input data, wear on the pump, damage to the pump, or failure of the pump.
19. The apparatus as claimed in claim 18 , wherein the data processing device is arranged to carry out a method for determining an estimated mass flow rate of the multiphase fluid in a pump system including the pump, the method comprising:
obtaining measurements of the pressure and temperature of the multiphase fluid at the intake to the pump, the pressure and temperature of the multiphase fluid at the discharge from the pump, and the power supplied to the pump system;
determining values representing the specific fluid enthalpy based on measurements and fluid models and/or historical data; and
calculating the estimated efficiency of the pump and the estimated mass flow rate of the multiphase fluid based on the supplied power, the measured temperatures, the measured pressures, and the determined value for specific fluid enthalpy.