System and method for analyzing wellbore survey data to determine tortuosity of the wellbore using tortuosity parameter values

1. A method, comprising:

receiving survey data corresponding to a plurality of survey stations of a wellbore survey of a wellbore path, wherein the received survey data comprises gyroscopic data, data from magnetic instruments, or combinations thereof; and

determining tortuosity for the wellbore path within a corresponding plurality of analysis windows based on the received survey data.

2. The method of claim 1 , wherein determining the tortuosity for the wellbore path comprises:

determining positional data for the plurality of survey stations based on the received survey data, wherein the positional data comprises:

data regarding a position of the wellbore path at each survey station of the plurality of survey stations;

data regarding the north, east, and vertical coordinates of the wellbore path at each survey station of the plurality of survey stations; or

combinations thereof; and

determining the tortuosity for the wellbore path within the corresponding plurality of analysis windows based on the positional data.

3. The method of claim 1 , wherein receiving the survey data comprises generating the survey data by running a wellbore survey tool within a wellbore.

4. The method of claim 1 , wherein each analysis window denotes a corresponding portion of the survey data.

5. The method of claim 1 , wherein determining the tortuosity comprises determining the tortuosity based on two or more survey stations within an analysis window.

6. The method of claim 1 , wherein determining the tortuosity comprises:

determining a plurality of tortuosity parameter values for the wellbore path within the plurality of analysis windows, wherein a respective tortuosity parameter value is determined for a corresponding analysis window, and wherein the respective tortuosity parameter value is equal to T=S/L−1, wherein S is a distance along the wellbore path or along a smoothed version of the wellbore path between two survey stations of the corresponding analysis window and L is a distance in a straight line or along a smoothed version of the wellbore path between the two survey stations, wherein the smoothing, if applied, is defined such that S>=L.

7. The method of claim 1 , wherein determining the tortuosity comprises:

determining a plurality of tortuosity parameter values for the wellbore path within the plurality of analysis windows, wherein a respective tortuosity parameter value is determined for a corresponding analysis window, and wherein the respective tortuosity parameter value is a function of S/L, wherein S is a distance along the wellbore path or along a smoothed version of the wellbore path between two survey stations of the corresponding analysis window and L is a distance in a straight line or along a smoothed version of the wellbore path between the two survey stations, wherein the smoothing, if applied, is defined such that S>=L.

8. The method of claim 1 , wherein determining the tortuosity comprises determining the tortuosity for the wellbore path based on an effective inner diameter (D eff ) for a corresponding analysis window, wherein the D eff comprises a maximum width of an outer periphery of a model device with a specified length that can be placed at, or passed through, a portion of a wellbore defined by the corresponding analysis window.

9. The method of claim 8 , wherein the maximum width of the outer periphery of the model device comprises a maximum allowed outer diameter of the model device with the specified length that can be placed at, or passed through, the portion of the wellbore defined by the corresponding analysis window.

10. The method of claim 8 , wherein whether the model device can be placed at, or passed through, the portion of the wellbore defined by the corresponding analysis window is determined based on an amount of transversal forces (F) that the model device would experience while the model device is within the portion of the wellbore, an amount of transversal moment (M) that the model device would experience while the model device is within the portion of the wellbore, or both.

11. The method of claim 8 , wherein the maximum width of the outer periphery of the model device comprises a maximum allowed outer diameter of the model device that can be placed at, or passed through, the portion of the wellbore defined by the analysis window with the specified length and configured to withstand a specified amount of bending.

12. The method of claim 1 , wherein determining the tortuosity comprises determining the tortuosity for the wellbore path based on a maximum device length (L max ) for a corresponding analysis window, wherein the L max comprises a maximum allowed length of a model tubular device that can be placed at, or passed through, a portion of a wellbore defined by the corresponding analysis window with a specified outer diameter.

13. The method of claim 6 , further comprising separating the respective tortuosity parameter value of the corresponding analysis window into two or more contributions of two or more corresponding length scales.

14. The method of claim 13 , wherein said contributions are derived by low-pass or high-pass spatial filtering applied to one or more of inclination, azimuth, north, east, and vertical parameters as a function of measured depth.

15. The method of claim 1 , further comprising displaying one or more representations of the determined tortuosity.

16. The method of claim 15 , further comprising selecting a position within a wellbore to place a device based on the one or more displayed representations.

17. The method of claim 1 , further comprising determining a position within a wellbore to place a device based on the determined tortuosity.

18. The method of claim 17 , wherein the device comprises a pump or a rod guide.

19. A computer system, comprising:

a memory; and

a processor configured to:

receive survey data corresponding to a plurality of survey stations of a wellbore survey of a wellbore path, wherein the received survey data comprises gyroscopic data, data from magnetic instruments, or combinations thereof; and

determine tortuosity for the wellbore path within a corresponding plurality of analysis windows based on the received survey data.

20. A non-transitory, tangible computer-readable medium having instructions stored thereon which instruct a computer system to at least:

receive survey data corresponding to a plurality of survey stations of a wellbore survey of a wellbore path, wherein the received survey data comprises gyroscopic data, data from magnetic instruments, or combinations thereof; and

determine of tortuosity for the wellbore path within a corresponding plurality of analysis windows based on the received survey data.

21. The method of any of claim 1 , wherein determining the tortuosity comprises performing one or more spectral analyses based on the survey data.

22. The method of claim 21 , wherein performing the one or more spectral analyses comprises calculating a Fourier transform based on the survey data to generate a spatial frequency relative to one or more coordinates of the wellbore path as a function of a measured depth of the wellbore path.

23. The method of claim 1 , wherein the received survey data further comprises data from inclinometers, data from accelerometers, data from inertial instruments, or combinations thereof.

24. The method of claim 1 , wherein a spacing between sequential survey stations of the wellbore survey is less than 30 meters, less than 10 meters, less than 1 meter, less than 0.5 meter, less than 0.3 meter, or less than 0.1 meter.