System, method, and computer readable medium for calculating well flow rates produced with electrical submersible pumps

1. A system for monitoring the flow of liquid in a well, the system comprising:

an electric submersible pump (ESP) having a motor and positioned within a well completion;

a surface switchgear electrically coupled to the ESP, wherein the surface switchgear provides the electricity to drive the ESP;

an intake pressure gauge coupled to the ESP, the intake pressure gauge measures an intake pressure;

a discharge pressure gauge coupled to the ESP, the discharge pressure gauge measures a discharge pressure;

a volt meter coupled to the surface switchgear, the volt meter measures a voltage of the motor;

an ammeter coupled to the surface switchgear, the ammeter measures a current of the motor;

a frequency transducer that measures a frequency of the surface switchgear;

a non-transitory computer readable medium containing computer instructions stored therein for causing a computer processor to perform; and

a computer processor that executes the computer instructions that upon execution causes the processor to receive values representing the measured intake pressure, discharge pressure, voltage of the motor, current of the motor, and frequency of the surface switchgear, and the processor calculates a flow rate through the ESP by applying the received values to a power equilibrium equation based upon the ESP.

2. The system of claim 1 , wherein the surface switchgear is a variable speed drive (VSD); and

the computer instructions further causes the processor to calculate an efficiency to flow rate ratio using the power equilibrium equation.

3. The system of claim 2 , wherein the computer instructions further causes the processor to obtain a non-dimension flow rate by applying the efficiency to flow rate ratio to a function relating efficiency to flow rate ratio to non-dimensional flow rate.

4. The system of claim 1 , wherein the computer instructions further causes the processor to receive a measured value of flow rate through the ESP and calibrate the flow rate through the ESP calculated by the processor with the received measured flow rate value.

5. The system of claim 1 , wherein the computer instructions further causes the processor to receive a static input, to apply the static input to a look up table to obtain a characteristic value of the ESP, and to apply the obtained characteristic value to the power equilibrium equation.

6. A system for monitoring the flow of liquid in a well, the system comprising:

an electric submersible pump (ESP) having a motor;

a switchgear electrically coupled to the ESP, wherein the switchgear provides electricity to drive the ESP;

a non-transitory computer readable medium containing computer instructions stored therein for causing a computer to processor to perform; and

a computer processor that executes the computer instructions that upon execution causes the processor to receive values of an intake pressure of the ESP, a discharge pressure of the ESP, a voltage of the motor, a current of the motor, and a frequency of the switchgear, and the processor calculates a flow rate through the ESP by applying the received values to a power equilibrium equation based upon the ESP.

7. The system of claim 6 wherein the ESP is positioned within a wellbore and wherein the switchgear is a surface switchgear.

8. The system of claim 7 wherein the surface switchgear is a variable speed drive (VSD); and

the computer instructions further causes the processor to calculate an efficiency to flow rate ration using the power equilibrium equation.

9. The system of claim 8 , wherein the computer instructions further causes the processor to obtain a non-dimensional flow rate by applying the efficiency to flow rate ratio to a function relating efficiency to flow rate ratio to non-dimensional flow rate.

10. The system of claim 6 , wherein the computer instructions further causes the processor to receive a measured value of flow rate through the ESP and calibrate the flow rate through the ESP calculated by the processor with the received measured flow rate value.

11. The system of claim 6 , wherein the computer instructions further causes the processor to receive a static input, to apply the static input to a look up table to obtain a characteristic value of the ESP, and to apply the obtained characteristic value to the power equilibrium equation.