Kan. Stat. § 24-641a
Whenever a drainage district has been organized as provided in K.S.A. 24-641 and the officers have failed or neglected to qualify for one election provided for by law or an election of officers has not been held, a special election may be called by five percent of the property owners in said district by filing a petition for such election with the county clerk and upon the filing of such petition the clerk shall forthwith publish a notice calling an election at a time to be fixed by him not less than ten days and not more than thirty days from the first publication of said notice and at such time there shall be elected supervisors or directors to serve for the period intervening until the next election when their successors shall be elected and qualified as by law provided. Said election shall be conducted and held in the same manner as provided for in the first election held in such district, under the provisions relating to the organization of such district.
K.S.A. 24-641a