Resistivity imaging using combination capacitive and inductive sensors

1. A system for measuring electric characteristics of an earth formation, comprising:

a carrier configured to be disposed in an earth formation;

an inductive measurement assembly including an antenna wherein the antenna is configured to generate an oscillating magnetic field in the earth formation and measure a resistivity of the formation by detecting a signal in response to currents induced in the formation by the magnetic field; and

a capacitive measurement assembly including a capacitive measurement electrode configured to detect a signal in response to a measurement current injected into the formation by the capacitive measurement electrode, the capacitive measurement electrode disposed at least approximately at the same axial and angular location of the carrier as the antenna and disposed between the antenna and the formation and in a path of the magnetic field, the capacitive measurement electrode formed from a plurality of constituent electrodes that are electrically isolated from each other so as to prevent induction of eddy currents across the plurality of electrodes.

2. The system of claim 1 , wherein the plurality of constituent electrodes have no direct electrical connection therebetween.

3. The system of claim 1 , wherein the plurality of constituent electrodes are physically unconnected so as to prevent induction of eddy currents around a contour encompassing the plurality of constituent electrodes.

4. The system of claim 1 , wherein the inductive measurement assembly includes a plurality of antennas, the plurality of measurement electrodes disposed in a region above the antennas in which the magnetic field is formed.

5. The system of claim 1 , wherein the capacitive measurement assembly includes a guard electrode surrounding the capacitive measurement electrode.

6. The system of claim 5 , wherein the capacitive measurement electrode is divided into a plurality of constituent electrodes that are each connected to a measurement circuit.

7. The system of claim 1 , wherein the plurality of constituent electrodes is formed as at least one of: a series of slices and an elongated electrode structure following a meandering path.

8. The system of claim 1 , wherein the carrier is configured to perform aspects of a logging while drilling (LWD) operation.

9. The system of claim 8 , further comprising a processor configured to control an operational parameter of the LWD operation based on signals received from at least the capacitive measurement electrode.

10. The system of claim 1 , wherein the carrier includes a pad made from an electrically insulating material, the pad including a plurality of buttons, each of the plurality of buttons including a respective inductive measurement assembly and a respective capacitive measurement assembly.

11. A method of measuring electric characteristics of an earth formation, the method comprising:

disposing a carrier in a borehole in an earth formation, the carrier including a measurement tool having an inductive measurement assembly and a capacitive measurement assembly, the inductive measurement assembly including an antenna, the capacitive measurement assembly including a capacitive measurement electrode disposed at least approximately at the same axial and angular location of the carrier as the antenna and disposed between the antenna and the formation and in a path of a magnetic field generated by the antenna, the capacitive measurement electrode formed from a plurality of constituent electrodes that are electrically isolated from each other so as to prevent induction of eddy currents across the plurality of electrodes;

generating an oscillating magnetic field in the earth formation using the antenna and detecting, with the antenna, a signal in response to currents induced in the formation by the magnetic field;

injecting, with the capacitive measurement electrode, a measurement current into the formation and detecting, with the capacitive measurement electrode, a resulting signal; and

estimating a resistivity of the formation based on detecting the signal and detecting the resulting signal.

12. The method of claim 11 , wherein the plurality of constituent electrodes have no direct electrical connection therebetween.

13. The method of claim 11 , wherein the plurality of constituent electrodes are physically unconnected so as to prevent induction of eddy currents around a contour encompassing the plurality of constituent electrodes.

14. The method of claim 11 , wherein the inductive measurement assembly includes at least one antenna, the plurality of measurement electrodes disposed in a region above the at least one antenna in which the magnetic field is formed.

15. The method of claim 11 , wherein the capacitive measurement assembly includes a guard electrode surrounding the capacitive measurement electrode.

16. The method of claim 15 , wherein the capacitive measurement electrode is divided into a plurality of constituent electrodes that are each connected to a measurement circuit.

17. The method of claim 11 , wherein the plurality of constituent electrodes is formed as at least one of: a series of slices and an elongated electrode structure following a meandering path.

18. The method of claim 11 , wherein the carrier is configured to perform aspects of a logging while drilling (LWD) operation.

19. The method of claim 18 , further controlling an operational parameter of the LWD operation based on the resistivity of the formation.

20. The method of claim 11 , wherein the carrier includes a pad made from an electrically insulating material, the pad including a plurality of buttons, each of the plurality of buttons including the inductive measurement assembly and the capacitive measurement assembly.