Monitoring fluid flow in a downhole assembly

1. A method of monitoring fluid flow in a borehole, comprising:

measuring acoustics at a plurality of locations along a downhole assembly in the borehole; and

calculating a fluid flow rate at the plurality of locations along the downhole assembly based on measuring the acoustics at the plurality of locations, wherein the calculating the fluid flow rate at each of the plurality of locations is based on a computation using total fluid flow rate at a surface location and a sum of the acoustics measured at the plurality of locations at a same time, wherein calculating the fluid flow rate comprises:

determining the fluid flow rate at the surface location outside the borehole;

determining the sum of acoustic measurements at the plurality of locations along the downhole assembly; and

calculating the fluid flow rate at each of the plurality of locations according to an equation:

( Q tot,t1 /MEAS tot,t1 )*MEAS a,t1 . . . ( Q tot,t1 /MEAS tot,t1 )*MEAS n,t1 ,

wherein Q tot,t1 represents a total fluid flow rate at the surface location at a time t 1 , MEAS tot,t1 represents the sum of acoustic measurements at the plurality of locations at the time t 1 MEAS a,t1 represents an acoustic measurement at one of the plurality of locations (a) at the time t 1 and MEAS n,t1 represents an acoustic measurement at an nth one of the plurality of locations at the time t 1 .

2. The method of claim 1 , wherein the sum of the acoustic measurements is over a selected band of frequencies, the selected band of frequencies being selected based on correlation with the fluid flow rate.

3. The method of claim 1 , wherein measuring the acoustics at the plurality of locations comprises surveying an optical fiber extending along the downhole assembly to measure characteristics corresponding to acoustics at the plurality of locations along the downhole assembly.

4. The method of claim 1 , wherein the plurality of locations correspond to perforations in the downhole assembly to allow fluid flow between an inside of the downhole assembly and an earth formation.

5. The method of claim 4 , wherein measuring the acoustics includes measuring acoustics of fluid flowing through the perforations.

6. The method of claim 4 , wherein measuring the acoustics includes measuring acoustics of acid flowing from inside the downhole assembly into the earth formation.

7. The method of claim 4 , wherein measuring the acoustics includes measuring acoustics of fluid flowing from the earth formation into the downhole assembly.

8. The method of claim 1 , further comprising:

calculating a flow distribution among the plurality of locations based on calculating the fluid flow rate at the plurality of locations along the downhole assembly.

9. The method of claim 8 , further comprising:

adjusting one or both of a flow rate of a fluid to one or more of the plurality of locations and a composition of the fluid based on calculating the flow distribution.

10. A wellbore system, comprising:

a downhole assembly having a plurality of locations along the downhole assembly including perforations to permit fluid flow between an inside of the downhole assembly and an earth formation, the downhole assembly including a distributed sensor assembly configured to measure acoustics at the plurality of locations;

a fluid flow monitor to measure a total fluid flow rate of fluid injected into or leaving the downhole assembly; and

a computer configured to calculate a fluid flow rate at the plurality of locations along the downhole assembly based on measurements from the distributed sensor assembly corresponding to the acoustic s at the plurality of locations, and based on the total fluid flow rate, wherein the calculation uses flow rate at a surface location and a sum of the measurements corresponding to the acoustics at the plurality of locations at a same time, wherein the computer is configured to calculate the fluid flow rate at the plurality of locations based on the following formula:

( Q tot,t1 /MEAS tot,t1 )*MEAS a,t1 . . . ( Q tot,t1 / MEAS tot,t1 )*MEAS n,t1,

wherein Q tot,t1 represents the total fluid flow rate at the surface location at a time t 1 , MEAS tot,t1 represents the sum of acoustic measurements at the plurality of locations at the time t 1 MEAS a,t1 represents an acoustic measurement at one of the plurality of locations (a) at the time t 1 , and MEAS n,t1 represents an acoustic measurement at an nth one of the plurality of locations at the time t 1 .

11. The wellbore system of claim 10 , wherein the sum of the acoustic measurements is over a selected band of frequencies, the selected band of frequencies being selected based on correlation with the fluid flow rate.

12. The wellbore system of claim 10 , wherein the distributed sensor assembly includes an optical fiber extending along the downhole assembly at all of the plurality of locations, and

the optical fiber is configured to deform based on acoustics of a fluid in the downhole assembly.

13. The wellbore system of claim 10 , wherein the distributed sensor assembly is configured to measure acoustics of fluid flowing through the perforations.

14. The wellbore system of claim 10 , further comprising an acid source at the surface outside the wellbore,

wherein the distributed sensor assembly is configured to measure acoustics of acid flowing from inside the downhole assembly into the earth formation.

15. The wellbore system of claim 10 , wherein the downhole assembly is a completion assembly for extracting fluid from an earth formation, and

the distributed sensor assembly is configured to measure acoustics of the fluid flowing from the earth formation into the downhole assembly.

16. The wellbore system of claim 10 , wherein the computer is configured to calculate a flow distribution among the plurality of locations based on calculating the fluid flow rate at the plurality of locations along the downhole assembly.

17. The wellbore system of claim 10 , wherein the computer is further configured to adjust one or both of a flow rate of the fluid to one or more of the plurality of locations and a composition of the fluid.