Bulk modulus monitoring system

1. A monitoring system for a pump, comprising:

a strain gauge positionable on a fluid end of the pump to measure strain in a chamber of the pump and generate a strain signal representing the strain in the chamber, the strain signal being useable in determining actuation points for valves in the chamber; and

a computing device couplable to the strain gauge, the computing device including a processing device and a memory device, the memory device including instructions that are executable by the processing device for causing the processing device to:

receive, from memory, a predefined pressure value for an internal pressure of the chamber;

determine a change in the internal pressure in the chamber during an amount of time between the actuation points for the valves by correlating (i) a portion of the strain signal corresponding to the amount of time between the actuation points with (ii) the predefined pressure value; and

determine a bulk modulus of fluid isolated in the chamber during the amount of time between the actuation points for the valves based on the change in the internal pressure in the chamber.

2. The monitoring system of claim 1 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine the actuation points for the valves in the chamber by identifying discontinuities in the strain signal, wherein the valves include a first valve and a second valve, wherein the actuation points include a first point corresponding to a closing of the first valve and a second point corresponding to an opening of the second valve.

3. The monitoring system of claim 1 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine the predefined pressure value using finite element analysis of the pump.

4. The monitoring system of claim 1 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine an effective bulk modulus of the pump using (i) the change in the internal pressure in the chamber during the amount of time between the actuation points, (ii) a fluid volume in the chamber at one of the actuation points, and (iii) a change in the fluid volume during the amount of time between the actuation points, and

wherein the effective bulk modulus includes the bulk modulus of the fluid and a mechanical bulk modulus of non-fluid components of the pump.

5. The monitoring system of claim 4 , further comprising:

a position sensor positionable on a power end of the pump to sense a position of a member of a rotating assembly of the pump and generate a position signal representing the position of the member during operation of the pump, the position signal being usable in determining a movement of a displacement member in the chamber,

wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine the change in the fluid volume using a volume of the fluid in the chamber displaced by the movement of the displacement member during the amount of time between the actuation points for the valves.

6. The monitoring system of claim 5 , wherein the memory device comprises instructions executable by the processing device for causing the processing device to determine the movement of the displacement member by correlating the position of the member of the rotating assembly with a ratio representing a mechanical correlation of the displacement member to the member of the rotating assembly.

7. The monitoring system of claim 1 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine the bulk modulus of the fluid by:

determining a mechanical bulk modulus of non-fluid components of the pump by removing a first reciprocal of a known bulk modulus of a test fluid from a second reciprocal of an effective bulk modulus of the pump; and

removing a third reciprocal of the mechanical bulk modulus of the non-fluid components of the pump from the second reciprocal.

8. The monitoring system of claim 1 , wherein the strain gauge is positioned on an external surface of the fluid end of the pump to measure the strain in the chamber.

9. A pumping system, comprising:

a pump including a fluid end and a power end, the fluid end of the pump including a chamber having a first valve actuatable to a closed position at a first actuation point and a second valve actuatable to an open position at a second actuation point, an amount of time between the first actuation point and the second actuation point being detectable by a strain gauge; and

a computing device couplable to the pump, the computing device including a processing device and a memory device including instructions that are executable by the processing device for causing the processing device to:

determine the first actuation point and the second actuation point by identifying discontinuities in a strain signal received from the strain gauge and representing strain in the chamber;

receive, from memory, a predefined pressure value for an internal pressure of the chamber;

determine a change in the internal pressure in the chamber during the amount of time between the first actuation point and the second actuation point by correlating a portion of the strain signal to the predefined pressure value; and

determine a bulk modulus of fluid isolated in the chamber during the amount of time between the first actuation point and the second actuation point based on the change in the internal pressure in the chamber.

10. The pumping system of claim 9 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to receive the strain signal from the strain gauge.

11. The pumping system of claim 9 , wherein the predefined pressure value is determined using finite element analysis of the pump.

12. The pumping system of claim 9 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine an effective bulk modulus of the pump using (i) the change in the internal pressure in the chamber during the amount of time between the first actuation point and the second actuation point, (ii) a fluid volume in the chamber at the first actuation point, and (iii) a change in the fluid volume during the amount of time between the first actuation point and the second actuation point, and wherein the effective bulk modulus includes the bulk modulus of the fluid and a mechanical bulk modulus of non-fluid components of the pump.

13. The pumping system of claim 12 , further comprising:

a position sensor positioned on the power end of the pump to sense a position of a crankshaft of the pump and generate a position signal representing the position of the crankshaft during operation of the pump,

wherein the fluid end of the pump further includes a plunger in the chamber that is mechanically coupled to the crankshaft, the position signal being usable in determining a movement of the plunger in the chamber, and

wherein the memory device comprises instructions executable by the processing device for causing the processing device to determine the change in the fluid volume using a volume of the fluid displaced in the chamber by the movement of the plunger during the amount of time between the first actuation point and the second actuation point.

14. The pumping system of claim 9 , wherein the memory device further includes instructions that are executable by the processing device for causing the processing device to determine the bulk modulus of the fluid by:

determining a mechanical bulk modulus of non-fluid components of the pump by removing a first reciprocal of a known bulk modulus of a test fluid from a second reciprocal of an effective bulk modulus of the pump; and

removing a third reciprocal of the mechanical bulk modulus of the non-fluid components of the pump from the second reciprocal.

15. The pumping system of claim 9 , further comprising the strain gauge positioned on an external surface of the fluid end of the pump to measure strain in the chamber and generate the strain signal representing the strain.

16. A method for determining a bulk modulus of fluid in a pump, comprising:

receiving, from a strain sensor coupled to a fluid end of the pump, a strain signal representing strain in a chamber of the pump;

determining, by a computing device, actuation points corresponding to valves in the chamber by identifying discontinuities in the strain signal, the actuation points including a first actuation point corresponding to a closing of a first valve in the chamber and a second actuation point corresponding to an opening of a second valve in the chamber;

determining an amount of time between the first actuation point and the second actuation point;

determining, by the computing device, a change in an internal pressure in the chamber during the amount of time between the first actuation point and the second actuation point by correlating the strain in the chamber with a predefined pressure value for the internal pressure in the chamber, wherein the predefined pressure value was previously determined and stored in memory; and

determining, by the computing device, a bulk modulus of fluid isolated in the chamber during the amount of time between the first actuation point and the second actuation point using the change in the internal pressure in the chamber.

17. The method of claim 16 , wherein determining the bulk modulus of the fluid isolated in the chamber includes multiplying an inverse of the change in the internal pressure in the chamber by a volume of the fluid isolated in the chamber at the first actuation point and a change in the volume of the fluid during the amount of time between the first actuation point and the second actuation point to determine an effective bulk modulus of the pump, wherein the effective bulk modulus includes the bulk modulus of the fluid and a mechanical bulk modulus of non-fluid components of the pump.

18. The method of claim 16 , wherein determining the bulk modulus of the fluid isolated in the chamber includes:

determining a mechanical bulk modulus of non-fluid components of the pump by removing a first reciprocal of a known bulk modulus of a test fluid from a second reciprocal of an effective bulk modulus of the pump; and

removing a third reciprocal of the mechanical bulk modulus of the non-fluid components of the pump from the second reciprocal.

19. The method of claim 16 , further comprising:

determining a change in a fluid volume in the chamber during the amount of time between the first actuation point and the second actuation point based on a volume of the fluid displaced in the chamber by a movement of a plunger in the pump during the amount of time between the first actuation point and the second actuation point;

determining an effective bulk modulus based on the change in the fluid volume; and

determining the bulk modulus based on the effective bulk modulus.

20. The method of claim 16 , wherein the predefined pressure value is generated using finite element analysis.