Methods for mitigating annular pressure buildup in a wellbore using materials having a negative coefficient of thermal expansion

A method comprising:

• introducing a spacer fluid or a displacement fluid into a wellbore comprising an annular space having one or more annuli therein, the spacer fluid or the displacement fluid comprising a pressure-mitigating material having a negative coefficient of thermal expansion;
• at least partially filling the annular space of the wellbore with the spacer fluid or the displacement fluid;
• sealing at least a portion of the annular space after filling the portion of the annular space with the spacer fluid or the displacement fluid;
• and
• subjecting the pressure-mitigating material to a temperature increase in the sealed portion of the annular space to decrease a volume occupied therein by the pressure-mitigating material;
• the pressure-mitigating material and an amount thereof are selected based upon one or more conditions present within the annular space.

A method comprising:

• drilling a wellbore using a drilling fluid comprising a carrier fluid and a pressure-mitigating material, the pressure-mitigating material having a negative coefficient of thermal expansion;
• at least partially filling an annular space of the wellbore with the drilling fluid, the annular space having one or more annuli therein;
• sealing at least a portion of the annular space after filling the portion of the annular space with the drilling fluid;
• and
• increasing a temperature of the drilling fluid within the sealed portion of the annular space to decrease a volume occupied therein by the pressure-mitigating material.