In a shut-in well scenario, which pressure reading will increase at the same rate as gas migrates?

In a shut-in well scenario where gas migration occurs, both drill pipe pressure and casing pressure will increase due to the expansion of gas within the wellbore.

As gas begins to migrate and expand, it exerts pressure on the surrounding fluids and the walls of the wellbore. This pressure change will be observed in both the casing and the drill pipe since they are interconnected systems. The gas can migrate into the drill string if the well is shut in, causing an increase in the pressure reading in the drill pipe. Simultaneously, the pressure in the casing will also rise as the gas occupies space within the annulus, leading to an elevation in casing pressure.

Thus, the right answer indicates that both pressures will rise at the same rate as gas continues to migrate and expand within the system, reflecting the interconnected pressure dynamics in a shut-in well.