A theoretical framework for robust implementation of in situ measurements of ocean currents and waves in dynamics of mooring systems.

This article presents a novel analytical method to solve the equations of motion governing mooring line dynamics in a one-dimensional linearized model, incorporating realistic ocean wave and current data. The approach divides the mooring line into three regions, applying different approximations and mathematical techniques, and derives integral closed-form solutions involving modified Bessel functions to capture dynamic properties under arbitrary time- and space-dependent oceanic conditions. Validation against numerical simulations demonstrates the method’s robustness and accuracy across a wide range of physical parameters and frequencies, enabling efficient analysis of complex ocean events using in situ data from the National Data Buoy System. The study highlights the significance of spatial modulation of ocean currents and multi-scale wave frequency contributions on mooring line tension, offering a framework for improved design, classification of oceanic events, and computational efficiency in offshore floating structure assessments, particularly relevant under climate change scenarios.