Shaped charge slitting devices for control line disruption in a hydrocarbon well and related methods for sealing the hydrocarbon well. The shaped charge slitting devices include a plurality of shaped charges. Each shaped charge is configured to, upon actuation, transform a corresponding liner into a high-speed sheet portion, which is configured to form a circumferential slit within production tubing, and a low-speed slug portion, which is configured to at least partially seal the circumferential slit. The methods include positioning a shaped charge slitting device within a selected region of a tubing conduit, actuating the shaped charge slitting device to form a plurality of circumferential slits within the production tubing and also to sever a control line, pumping a sealing material into an annular space via a sealing material injection opening that extends between the tubing conduit and the annular space, and curing the sealing material to form a fluid seal.