Method to optimize tripping velocity profiles

1. A method for optimizing a tripping velocity profile for a pipe, comprising:

determining a static gel strength of a fluid of a wellbore;

determining an acceleration curve for the pipe in the wellbore based on wellbore pressure constraints, wherein the wellbore pressure constraints are based in part on the static gel strength of the fluid;

determining a deceleration curve for the pipe; and

combining the acceleration curve with the deceleration curve to provide the tripping velocity profile for the pipe.

2. The method of claim 1 , wherein the determining the deceleration curve comprises inverting a cubic parabola, wherein the cubic parabola is a position function for the pipe.

3. The method of claim 1 , further comprising moving the pipe in the wellbore based on the tripping velocity profile and the wellbore pressure constraints.

4. The method of claim 1 , further comprising determining mechanical jerk based on the acceleration curve or the deceleration curve.

5. The method of claim 1 , further comprising determining the acceleration curve for the pipe that causes equivalent circulating densities (ECD) in the wellbore to be less than a formation fracture pressure and greater than a pore pressure.

6. The method of claim 1 , wherein the pipe is included in a stand.

7. The method of claim 1 , further comprising determining the static gel strength during a connection of the pipe to another pipe.

8. The method of claim 1 , further comprising determining the static gel strength during a disconnection of another pipe from the pipe.

9. A method for optimizing a tripping velocity profile for a pipe, comprising:

determining a static gel strength of a fluid of a wellbore;

determining an acceleration curve for the pipe in the wellbore that maintains equivalent circulating densities (ECDs) in the wellbore that are less than a formation fracture pressure and greater than a pore pressure, wherein the ECDs are based in part on the static gel strength of the fluid;

determining a deceleration curve for the pipe by inverting a cubic parabola; and

combining the acceleration curve with the deceleration curve to provide the tripping velocity profile for the pipe.

10. The method of claim 9 , further comprising moving the pipe in the wellbore based on the tripping velocity profile.

11. The method of claim 9 , further comprising determining mechanical jerk based on the acceleration curve or the deceleration curve.

12. The method of claim 9 , wherein the pipe is included in a stand.

13. The method of claim 9 , further comprising determining the static gel strength during a connection of the pipe to another pipe.

14. The method of claim 9 , further comprising determining the static gel strength during a disconnection of another pipe from the pipe.

15. The method of claim 9 , wherein inverting the cubic parabola comprises inverting a position function for the pipe.

16. A system for optimizing a tripping velocity profile for a pipe string in a wellbore, comprising:

the pipe string disposed in the wellbore, the wellbore comprising a fluid;

a gel strength analyzer in fluid communication with the fluid;

a system controller in communication with the gel strength analyzer, the system controller configured to:

receive static gel strength information of the fluid from the gel strength analyzer;

determine an acceleration curve for the pipe string in the wellbore based on wellbore pressure constraints, wherein the wellbore pressure constraints are based in part on the static gel strength of the fluid;

determining a deceleration curve for the pipe string; and

combining the acceleration curve with the deceleration curve to provide the tripping velocity profile for the pipe string.

17. The system of claim 16 , wherein the system controller is further configured to move the pipe string in the wellbore based on the tripping velocity profile.

18. The system of claim 16 , wherein the system controller is further configured to determine mechanical jerk based on the acceleration curve or the deceleration curve.

19. The system of claim 16 , wherein the system controller is further configured to receive the static gel strength information during a connection of a pipe to the pipe string, or during a disconnection of the pipe from the pipe string.

20. The system of claim 16 , wherein the gel strength analyzer is in fluid communication with a mud pit that is positioned at a surface of the wellbore.