A ship or other large and heavy load may be supported on a fluid cushion comprising a two dimensional array of airbags constrained within elastic mesh compartments (81) and inflated by individual valve assemblies (188, 189, 231 . . . ) which are connected by a grid of airlines and distributed over a flexible web (60) separating respective horizontal layers of the assembly. The ship rests on an upper layer while the compartments of a lower layer are inflated and deflated in sequence to generate a travelling contraction which moves through the fluid cushion to translate its base surface over the ground in any desired direction of travel, with the load gradually moving by fluid pressure in the same direction. The deflated cushion assembly can be stored and deployed on a spool (see FIG. 1-3) rotated by a hydraulic motor. Independent claims are included to the cushion assembly including an elastic or other tension force generating means, the compartmentalized structure, the layered structure, the deployment spool, the distributed valve assemblies, and corresponding methods of operation.