In the event that the channel, or any part thereof, of any navigable stream has heretofore been, or shall hereafter be, altered or changed in the manner described in Kan. Stat. Ann. § 82a-201, the secretary of state, as soon as practicable, shall enter into negotiations with the owner or owners of the title to such new channel for the purpose of procuring deeds conveying title in fee to the state of Kansas for such new channel between the banks thereof, at high-water mark, for such sum or sums as may be agreed upon between the owner or owners and the secretary of state. No sum shall be paid for the new channel in excess of the net amount realized from the sale of the corresponding abandoned channel.