Kan. Stat. § 48-1205
In the event any state officer is unavailable following an attack, then, the governor (or other official authorized under the constitution and this act to exercise the powers and discharge the duties of the office of governor) shall designate an emergency interim successor. In the event that any state officer is unavailable following an attack, and in the event his or her deputy, if any, is also unavailable the said powers of his or her office shall be exercised and said duties of the office shall be discharged by the designated emergency interim successor. Such emergency interim successor shall exercise said powers and discharge said duties until such time as the governor under the constitution or authority other than this act (or other official authorized under the constitution or this act to exercise the powers and discharge the duties of the office of governor) may, where a vacancy exists, appoint a successor to fill the vacancy or until a successor is otherwise appointed or elected and qualified as provided by law; or an officer (or his or her deputy) becomes available to exercise or assume to exercise the powers and discharge the duties of the office.
K.S.A. 48-1205