System and method for a downhole gamma ray instrument

1. A downhole logging tool, comprising:

a radiation generation source operable to emit radiation into a formation surrounding the tool;

a radiation detector operable to detect backscattered radiation from the formation surrounding the tool;

a sleeve positioned around the radiation generation source, the sleeve including at least one aperture for forming a pathway for a radiation beam, emitted from the radiation generation source, to enter the formation, the sleeve being rotatable about an axis of the tool to change a position of the aperture to distinctly inspect different regions of the formation; and

a second sleeve positioned coaxially and radially outward from the sleeve, the second sleeve including at least one second aperture, wherein the pathway is formed when the at least one aperture and the at least one second aperture at least partially align.

2. The system of claim 1 , wherein the at least one aperture comprises a plurality of apertures, the plurality of apertures positioned about the sleeve.

3. The system of claim 2 , wherein a first length of a first aperture of the plurality of apertures is different from a second length of a second aperture of the plurality of apertures.

4. The system of claim 1 , further comprising

a motor, the motor being coupled to the sleeve and driving rotation of the sleeve about the axis.

5. The system of claim 1 , wherein the second sleeve and the sleeve are independently rotatable about the axis.

6. The system of claim 1 , further comprising:

a compressive sensing module, the compressive sensing module receiving data recorded by the radiation detector and position data for the at least one aperture, the compressive sensing module generating an azimuthal profile for the wellbore.

7. The system of claim 1 , wherein a sampling time is adjusted as a function of aperture size.

8. A system for performing downhole logging operations in a well, comprising:

a downhole suspension device;

an inspection tool coupled to and lowerable into the well, via the suspension device, the inspection tool comprising:

a radiation source operable to emit radiation;

a radiation detector operable to detect backscattered radiation generated as a result of the radiation emitted from the radiation source;

a sleeve positioned around the radiation source, the sleeve including at least one aperture, wherein a position of the at least one aperture is changeable with respect to the well; and

a second sleeve, positioned radially outward of the sleeve, the second sleeve further surrounding the radiation source, wherein the second sleeve further comprises at least one second aperture, a second position of the at least one second aperture changeable with respect to the well.

9. The system of claim 8 , wherein the at least one aperture and the at least one second aperture are configured to at least partially align to form a pathway for radiation emitted from the radiation source to enter a formation.

10. The system of claim 8 , wherein both the sleeve and the second sleeve are independently rotatable about an axis of the tool, the at least one aperture and the at least one second aperture changing respective positions in response to rotation of the sleeve and the second sleeve.

11. The system of claim 8 , wherein the at least one aperture comprises a plurality of apertures, the plurality of apertures arranged in a first pattern, and the at least one second aperture comprises a second plurality of apertures, the second plurality of apertures arranged in a second pattern, different from the first pattern at a given time.

12. The system of claim 8 , further comprising:

a motor, the motor being coupled to the sleeve and driving rotation of the sleeve about an axis of the tool.

13. The system of claim 8 , further comprising:

a compressive sensing module, the compressive sensing module receiving data recorded by the radiation detector, wherein position data for the at least one aperture is pre-loaded to the compressive sensing module, the compressive sensing module generating an azimuthal profile for the wellbore.

14. A method of performing downhole logging, comprising:

positioning an inspection tool in a well, the inspection tool comprising a radiation generation source, a radiation detector, a sleeve positioned around the radiation source at a first position with respect to the well, and a second sleeve positioned coaxially and radially outward from the sleeve at a second position with respect to the well, the sleeve including at least one aperture and the second sleeve including at least one second aperture;

emitting radiation from the radiation generation source, the radiation being directed through the at least one aperture and the at least one second aperture;

detecting backscattered radiation received at the radiation detector;

determining a first measurement based on the detected backscattered radiation;

associating the first measurement with a first region of the well, corresponding to the first position of the at least one aperture and to the second position of the least one second aperture; and

determining one or more characteristics of the first region of the well, based at least in part on the first measurement.

15. The method of claim 14 , further comprising:

changing the first position of the at least one aperture to a third position with respect to the well, the third position corresponding to a second region of the well;

changing the second position of the at least one second aperture to a fourth position with respect to the well, the at least one second aperture being at least partially aligned with the at least one aperture and corresponding to the second region of the well;

determining a second measurement based on the backscattered radiation;

associating the second measurement with the second region of the well; and

determining one or more characteristics of the second region of the well based at least in part on the second measurement.

16. The method of claim 15 , further comprising:

processing the first measurement and the second measurement, via a compressive sensing algorithm; and

determining at least one azimuthal characteristic of the wellbore, based at least in part on the processing.

17. The method of claim 14 , further comprising:

tracking the first position of the at least one aperture; and

correlating the first position of the at least one aperture with the first measurement.

18. The method of claim 14 , further comprising:

rotating the sleeve about the source to change a relative location of the at least one aperture with respect to the well.