Upon receipt of the final report of the engineer concerning the surveys made of the lands contained in the district organized and the lands adjacent thereto and plans for reclaiming such lands the board of supervisors shall adopt such report or any modification thereof approved by the chief engineer, after consulting with him or someone representing him, and thereafter such adopted report shall be the plan for draining or reclaiming such lands from overflow or damage by waters and it shall, after such adoption, be known and designated as the "Plan of Reclamation." The plan shall be filed with the secretary of the board of supervisors and by him copied into the records of the district.