The district has the power to:
(1) control, store, preserve, and distribute the water and floodwater in the district for the irrigation of arid land, conservation, preservation, reclamation, and drainage of the lands in the district;
(2) carry out flood prevention measures to prevent damage to land and other property in the district; and
(3) reclaim lands heretofore damaged because of the failure to provide the facilities authorized under this chapter.