Optimizing flow control device properties on both producer and injector wells in coupled injector-producer liquid flooding systems

1. A computer implemented method for determining flow control device (FCD) properties along an injection well in coupled injector-producer liquid flooding systems within a formation that yield a uniform displacement front along a production well, the method comprising:

initializing, by a computer system, a FCD distribution function to have a uniform FCD distribution profile;

simulating, by the computer system, propagation of a displacement front representing a volume of liquid injected from the injection well into a reservoir area of the formation between the injection well and the production well, based on the initialized FCD distribution function;

determining a pressure distribution and a location of the displacement front when it reaches the production well during the simulation;

determining a reference location along a length of the injection well, based on the pressure distribution and the location of the displacement front, the reference location corresponding to a point along the displacement front where the simulated displacement front propagation is determined to be at a minimum;

adjusting the FCD distribution function by decreasing values of the FCD distribution function at points where the simulated displacement front propagation has advanced relative to the reference location;

determining whether an axial variation between a shape of the displacement front according to the adjusted FCD distribution function and a target profile is within a predetermined convergence value;

when the axial variation is determined not to be within the predetermined convergence value, repeating the simulation of the displacement front propagation and the adjustment of the FCD distribution function until the axial variation is determined to be within the predetermined convergence range;

when the axial variation is determined to be within the predetermined convergence value, determining the FCD properties of flow control devices along the injection well that yield the uniform displacement front along the production well; and

controlling an injection flow rate of liquid from the injection well into the reservoir area of the formation using flow control devices along the injection well based on the FCD properties of the flow control devices along the injection well that yield the uniform displacement front along the production well.

2. The computer implemented method of claim 1 , wherein the predetermined convergence value is 10 −5 of the distance between the injection well and the production well.

3. The computer implemented method of claim 1 , wherein the reference location along a length of the injection well does not change during subsequent iterations of the simulation of the displacement front propagation and the adjustment of the FCD distribution function.

4. The computer implemented method of claim 1 , wherein determining the FCD properties includes determining various hole diameters of the flow control devices along the injection well.

5. The computer implemented method of claim 1 , wherein determining the FCD properties includes determining placement of the flow control devices along the injection well.

6. The computer implemented method of claim 1 , wherein the injection well and the production well are nonparallel.

7. The computer implemented method of claim 1 , wherein the injection well is located near an injection zone of the reservoir area within the formation, the production well is located near a production zone of the reservoir area within the formation, and the volume of liquid is injected from the injection well into the injection zone of the reservoir area.

8. A system, comprising:

at least one processor; and

at least one memory coupled to the at least one processor, the at least one memory storing processor executable instructions for determining flow control device (FCD) properties along an injection well in coupled injector-producer liquid flooding systems within a formation that yield a uniform displacement front along a production well, the processor executable instructions comprises instructions for:

initializing a FCD distribution function to have a uniform FCD distribution profile;

simulating propagation of a displacement front representing a volume of liquid injected from the injection well into a reservoir area of the formation between the injection well and the production well, based on the initialized FCD distribution function;

determining a pressure distribution in the reservoir area and a location of the displacement front when it reaches the production well during the simulation;

determining a reference location along a length of the injection well, based on the pressure distribution and the location of the displacement front, the reference location corresponding to a point along the displacement front where the simulated displacement front propagation is determined to be at a minimum;

adjusting the FCD distribution function by decreasing values of the FCD distribution function at points where the simulated displacement front propagation has advanced relative to the reference location;

determining whether an axial variation between a shape of the displacement front according to the adjusted FCD distribution function and a target profile is within a predetermined convergence value;

when the axial variation is determined not to be within the predetermined convergence value, repeating the simulation of the displacement front propagation and the adjustment of the FCD distribution function until the axial variation is determined to be within the predetermined convergence range;

when the axial variation is determined to be within the predetermined convergence value, determining the FCD properties of flow control devices along the injection well that yield the uniform displacement front along the production well; and

controlling an injection flow rate of liquid from the injection well into the reservoir area of the formation using flow control devices along the injection well based on the FCD properties of the flow control devices along the injection well that yield the uniform displacement front along the production well.

9. The system of claim 8 , wherein the predetermined convergence value is 10 −5 of the distance between the injection well and the production well.

10. The system of claim 8 , wherein the reference location along a length of the injection well does not change during subsequent iterations of the simulation of the displacement front propagation and the adjustment of the FCD distribution function.

11. The system of claim 8 , wherein determining the FCD properties includes determining various hole diameters of the flow control devices along the injection well.

12. The system of claim 8 , wherein determining the FCD properties includes determining placement of the flow control devices along the injection well.

13. The system of claim 8 , wherein the injection well and the production well are non-parallel.

14. The system of claim 8 , wherein the injection well is located near an injection zone of the reservoir area within the formation, the production well is located near a production zone of the reservoir area within the formation, and the volume of liquid is injected from the injection well into the injection zone of the reservoir area.

15. A non-transitory computer readable medium comprising computer executable instructions for determining flow control device (FCD) properties along an injection well in coupled injector-producer liquid flooding systems within a formation that yield a uniform displacement front along a production well, the computer executable instructions when executed by a computer, cause the computer to perform operations comprising:

initializing a FCD distribution function to have a uniform FCD distribution profile;

simulating propagation of a displacement front representing a volume of liquid injected from the injection well into a reservoir area of the formation between the injection well and the production well, based on the initialized FCD distribution function;

determining a pressure distribution in the reservoir area and a location of the displacement front when it reaches the production well during the simulation;

determining a reference location along a length of the injection well, based on the pressure distribution and the location of the displacement front, the reference location corresponding to a point along the displacement front where the simulated displacement front propagation is determined to be at a minimum;

adjusting the FCD distribution function by decreasing values of the FCD distribution function at points where the simulated displacement front propagation has advanced relative to the reference location;

determining whether an axial variation between a shape of the displacement front according to the adjusted FCD distribution function and a target profile is within a predetermined convergence value;

when the axial variation is determined not to be within the predetermined convergence value, repeating the simulation of the displacement front propagation and the adjustment of the FCD distribution function until the axial variation is determined to be within the predetermined convergence range;

when the axial variation is determined to be within the predetermined convergence value, determining the FCD properties of flow control devices along at least one of the injection well that yield the uniform displacement front along the production well; and

controlling an injection flow rate of liquid from the injection well into the reservoir area of the formation using flow control devices along the injection well based on the FCD properties of the flow control devices along the injection well that yield the uniform displacement front along the production well.

16. The non-transitory computer readable medium of claim 15 , wherein determining the FCD properties includes determining various hole diameters of the flow control devices along the injection well.

17. The non-transitory computer readable medium of claim 15 , wherein determining the FCD properties includes determining placement of the flow control devices along the injection well.

18. The non-transitory computer readable medium of claim 15 , wherein the predetermined convergence value is 10 −5 of the distance between the injection well and the production well.

19. The non-transitory computer readable medium of claim 15 , wherein the reference location along a length of the injection well does not change during subsequent iterations of the simulation of the displacement front propagation and the adjustment of the FCD distribution function.

20. The non-transitory computer readable medium of claim 15 , wherein the injection well is located near an injection zone of the reservoir area within the formation, the production well is located near a production zone of the reservoir area within the formation, and the volume of liquid is injected from the injection well into the injection zone of the reservoir area.