The free surface effect on initial stability depends on the surface dimensions of the free liquids and what additional factor?

The free surface effect on initial stability is significantly influenced by the volume of displacement of the MODU (Mobile Offshore Drilling Unit). When considering the stability of a vessel or floating structure, the free surface effect arises from liquids contained in tanks or compartments, which can shift and alter the center of gravity and the metacentric height of the vessel.

The volume of displacement refers to the total volume of water displaced by the hull of the MODU, which correlates directly with the vessel's weight and buoyancy. A significant volume of displacement means that the vessel is designed to support a greater weight of water. When liquids move within partially filled tanks, it can create a shift in the center of gravity, affecting how the MODU interacts with the water. The larger the volume of displacement, the more critical it is to account for the free surface effect, as it can lead to greater reductions in initial stability.

Other factors, such as the weight of the liquid, type of compartment, and tank material, can influence the behavior of liquids within tanks but do not directly address the relationship between free surface effects and the overall stability illustrated by the vessel's displacement. Focusing on the displacement volume captures the overall impact of these free surfaces on stability, making it the