A lightweight catenary system for deepsea operations in which a lightweight flexible pipe such as disclosed in U.S. Pat. No. 6,491,779 is suspended in seawater from a vessel or platform, and having a positive or nearly positive buoyancy, and which is stabilized by disposing weight in proximity to or attached to the lower portion of the pipe at or near the seabed, whereby the weight and costs of supporting heavy pipe in offshore operations is reduced or eliminated.