DEFORMABLE DOWNHOLE STRUCTURES INCLUDING ELECTRICALLY CONDUCTIVE ELEMENTS, AND METHODS OF USING SUCH STRUCTURES

1 . A method of using a deformable downhole article in a wellbore, comprising:

positioning a deformable downhole article in a wellbore, the deformable downhole article including a tubular component, a deformable material disposed around an outer surface of the tubular component, and an electrically conductive element disposed in the deformable material;

expanding the deformable material to an expanded state in the wellbore, wherein expansion of the deformable material applies stress to the electrically conductive element;

measuring at least one electrical property of the electrically conductive element associated with strain of the electrically conductive element responsive to the applied stress; and

correlating the at least one measured electrical property to a degree of expansion of the deformable material.

2 . The method of claim 1 , wherein measuring the at least one electrical property of the electrically conductive element comprises measuring at least one electrical property of the electrically conductive element using an induction logging tool.

3 . The method of claim 2 , wherein measuring the at least one electrical property of the electrically conductive element comprises:

conveying the induction logging tool from a surface of a subterranean formation through the tubular component to the deformable downhole article; and

determining a location of the deformable downhole article in the wellbore.

4 . The method of claim 2 , wherein measuring the at least one electrical property of the electrically conductive element comprises:

rotating the induction logging tool about a central axis thereof and within a portion of the tubular component adjacent to the deformable material, the deformable material comprising a plurality of electrically conductive elements extending radially outward from at least a portion of the tubular component and provided concentrically about the tubular component;

measuring at least one electrical property of each of the plurality of electrically conductive elements; and

comparing the electrical property measurements of each of the plurality of electrically conductive elements disposed in the deformable material and determining a degree of uniformity of expansion of the deformable material.

5 . The method of claim 1 , wherein measuring the at least one electrical property of the electrically conductive element comprises measuring the at least one electrical property of the electrically conductive element using at least one electrical component and a power supply coupled to the electrically conductive element.

6 . The method of claim 5 , wherein measuring the change in at least one electrical property of the electrically conductive element using the at least one electrical component and the power supply comprises:

passing an electrical current from the power supply through the at least one electrical component and the electrically conductive element; and

measuring at least one of inductance, resistivity, or impedance of the electrically conductive element.

7 . The method of claim 5 , further comprising selecting the at least one electrical component to comprise at least one of a capacitor or a resistor.

8 . The method of claim 5 , further comprising determining a degree of expansion of the deformable material from the at least one electrical property measurement of the electrically conductive component.

9 . The method of claim 1 , wherein the electrically conductive element comprises a carbon nanotube (CNT) material.

10 . The method of claim 1 , wherein the electrically conductive element comprises an electrically conductive metal.

11 . The method of claim 1 , wherein the electrically conductive element is covalently bonded to the deformable material such that expanding the deformable material to the expanded state in the wellbore comprises imparting stress on the electrically conductive element without extensive relative displacement of the electrically conductive element relative to the deformable material.

12 . The method of claim 1 , wherein expanding the deformable material to the expanded state in the wellbore comprises increasing a length of the electrically conductive element.

13 . The method of claim 1 , wherein expanding the deformable material to the expanded state in the wellbore comprises increasing a diameter of the electrically conductive element.

14 . A method of using a deformable downhole article in a wellbore, comprising:

positioning a deformable downhole article in a wellbore, the deformable downhole article including a tubular component, a deformable material disposed around an outer surface of the tubular component, and a plurality of electrically conductive elements disposed in the deformable material;

expanding the deformable material to an expanded state in the wellbore, wherein expansion of the deformable material applies stress to one or more of the plurality of electrically conductive elements;

disposing an induction logging tool within the tubular component;

measuring at least one electrical property of each of the plurality of electrically conductive elements using the induction logging tool, the at least one electrical property of the one or more of the plurality of electrically conductive elements being altered by strain thereof responsive to the applied stress; and

correlating the at least one electrical property measurement to a degree of expansion of the deformable material.

15 . The method of claim 14 , further comprising comparing the at least one electrical property measurement of each of the plurality of electrically conductive elements and determining a degree of uniformity of expansion of the deformable material.

16 . The method of claim 14 , further comprising determining a location of the deformable downhole article in the wellbore using the induction logging tool.

17 . The method of claim 14 , wherein the electrically conductive elements comprise a carbon nanotube (CNT) material.

18 . The method of claim 14 , wherein the electrically conductive elements comprise an electrically conductive metal.

19 . A deformable downhole article for use in a wellbore, comprising:

a tubular component configured for placement in a wellbore;

a deformable material disposed around an outer surface of the tubular component; and

an electrically conductive element disposed in the deformable material, the electrically conductive element comprising an electrically conductive element arranged as a coil.

20 . The deformable downhole article of claim 19 , further comprising means for measuring at least one electrical property of the electrically conductive element.