Drill bits with cutters to cut high side of wellbores

1. A drill bit, comprising:

a cutting device placed on a substantially non-rotating sleeve of the drill bit, wherein the cutting device is configured to cut a formation surrounding the drill bit; and

an actuation device configured to actuate the cutting device when the cutting device is along a high side of a wellbore to obtain a desired build rate.

2. The drill bit of claim 1 , wherein the substantially non-rotating sleeve comprises a gage section of the drill bit.

3. The drill bit of claim 1 , wherein the cutting device comprises a cutting element disposed on a substantially non-rotating member placed around the selected section.

4. The drill bit of claim 1 , wherein the actuation device is configured to supply power to the cutting device.

5. The drill bit of claim 4 , wherein the actuation device is selected from the group consisting of: a mechanical device; a hydraulic device; an electrical device; and an electro-mechanical device.

6. The drill bit of claim 1 , wherein the cutting device comprises a rotor having one or more cutting elements thereon placed on the substantially non-rotating sleeve.

7. The drill bit of claim 1 , wherein the cutting device comprises a cam-type rotation device having cutters thereon.

8. The drill bit of claim 1 , wherein the cutting device comprises a rotor having cutters thereon disposed in a cavity on a gage section or another side section of the drill bit.

9. The drill bit of claim 1 further comprising a controller configured to determine a high side of the wellbore and to control supply of power to the cutting device.

10. The drill bit of claim 1 , wherein the cutting device comprises a rotating device having cutters thereon that is actuated by the actuation device to cut the formation proximate the high side of the wellbore.

11. A method of drilling a wellbore into a formation, comprising:

drilling a wellbore with a drill bit having a cutting device on a substantially non-rotating sleeve on a side of the drill bit; and

activating the cutting device when the cutting device is along a high side of the wellbore to cut the formation along the high side of the wellbore to obtain a desired build rate.

12. The method of claim 11 , wherein cutting the formation comprises orienting the cutting device on the drill bit to the high side of the wellbore.

13. The method of claim 12 , wherein activating the cutting device comprises supplying power to the cutting device when the cutting device is oriented toward the high side of the wellbore.

14. The method of claim 12 further comprising determining the high side from a sensor measurement.

15. The method of claim 11 further comprising:

conveying the drill bit into the wellbore, wherein the drill bit includes cutters on a face section of the drill bit; and

cutting a formation in front of the drill bit by rotating the face section of the drill bit.

16. The method of claim 11 , wherein cutting the formation comprises using a cutting element disposed on the non-rotating member.

17. A method of making a drill bit, comprising:

providing a drill bit configured to form a wellbore;

providing a cutting device on a substantially non-rotating sleeve on a side of the drill bit configured to cut a formation on a high side of the wellbore; and

providing an actuation device configured to actuate the cutting device when the cutting device is along the high side of the wellbore.

18. The method of claim 17 , wherein the actuation device is configured to rotate the cutting device.

19. The method of claim 17 further comprising providing a controller to orient the cutting device along the high side of the wellbore during drilling of the wellbore.