Deformable downhole structures including electrically conductive elements, and methods of using such structures

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.

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.