S.D. Codified Laws § 46A-13-33
The maintenance and repair of any drainage improvement constructed by joint arrangement with the authorities of any other state, under the provisions of this chapter, may be provided for by joint arrangement with the other state in the same manner as the drainage improvement was originally established and constructed. Any provision of this chapter relating to the construction of a drainage improvement by joint action applies to the maintenance and repair of the drainage improvement if action is taken for maintenance and repair under the provisions of this chapter. The drainage commission may make assessments upon the property benefited, according to the benefit received, for the proportionate share of the maintenance and repair of any drainage improvement the maintenance and repair is arranged for under the provisions of this chapter.
SDCL 46A-13-33