This invention is directed to corrugated retention and filtration systems which are designed and installed to control sediment runoff. The corrugated systems creates a multiple of adjacent retention and filtration wedges with acute angles at their downstream vertexes for increased surface area and an increased number of structural support elements throughout the system. The corrugated retention and filtration system provides structural, hydrodynamic, and filtration features not available from a conventional linear systems used for sedimentation control applications.