Any mineral interest is, if unused for a period of twenty years immediately preceding the first publication of the notice required by section 38-18.1-06, deemed to be abandoned, unless a statement of claim is recorded in accordance with section 38-18.1-04. Title to the abandoned mineral interest vests in the owner or owners of the surface estate in the land in or under which the mineral interest is located on the date of abandonment. The owner of the surface estate in the land in or under which the mineral interest is located on the date of abandonment may record a statement of succession in interest indicating that the owner has succeeded to ownership of the minerals under this chapter.