Mathematical model of a flexible pipeline for lifting minerals from the seabed surface
- 1 — Professor G.V. Plekhanov Saint Petersburg State Mining Institute
- 2 — Postgraduate student G.V. Plekhanov Saint Petersburg State Mining Institute
Abstract
A mathematical model is presented describing the configuration of flexible pipeline routes for a hydraulic mining complex for lifting ferromanganese and other nodules, as well as polymetallic sands, silt and crushed crustal formations from the surface of the seabed. The pipeline connects the subsea mining machine with the slurry receiver on the base vessel. The proposed model is based on the chain-link equation and describes the configuration of flexible, articulated pipeline routes over a wide range of distances between the base vessel and the mining machine. For the first time possible variants of chain line defining marginal boundaries of flexible pipeline location with positive buoyancy are constructed by analytical solution according to coordinate values. On the basis of the obtained results the peculiarities of mechanics of behavior of positive buoyancy flexible pipeline under its own load have been determined.