Geometry and model
The model—a simplified planar model for the analysis of a multiple leg, portal frame-type structure—is intended for the analysis of 3-leg jack-up rigs with shallow foundation supports. Figure 1 is a schematic of a 3-leg jack-up, as represented by the model. The jack-up hull is assumed to be rigid and triangular, and the connection between the hull and the legs is also taken to be rigid. The jack-up has two windward legs and one leeward leg; the model is projected onto the vertical symmetry plane that passes through the leeward leg and between the windward legs. Elastic beam columns are used to model both the upper and lower segment of each leg. The soil model is chosen to be macro-yield sand. Three degrees of freedom—vertical, horizontal, and rotational—are assumed at each spud can at the base of each leg. Mass is assumed to be concentrated at the center of the hull. The horizontal degree of freedom at the center is assumed to represent the motion of the rig for analysis purposes. Wind loading on the rig is applied as a horizontal force above the center of gravity of the hull.
The leg segments are modeled using B21 elements, and the general beam section is used to define the structural properties of the beam. The interaction between the spud can and the soil is modeled through JOINT2D elements and the joint elasticity and joint plasticity definitions. Rigid beam elements, RB2D2, are used to model the rigid hull.
The dimensions of the rig and the material properties of the sand and the spud can are as follows (force units are in kN, and length units are in meters):
Leg length upper segment | 49.4 |
Leg length lower segment | 13.5 |
Leg EI upper segment | 2.7 × 108 |
Leg EI lower segment | 2.7 × 109 |
Leg AE upper segment | 2.2 × 108 |
Leg AE lower segment | 2.2 × 109 |
Leg GA upper segment | 8.1 × 107 |
Leg GA lower segment | 8.1 × 108 |
Horizontal distance from platform | |
center of gravity to leeward leg | 23.4 |
Horizontal distance from platform | |
center of gravity to windward leg | 11.7 |
Spud can diameter | 10.9 |
Spud can cone angle | 180° |
Foundation preload per spud can | 50600 |
Foundation tensile capacity | 0 |
Operational vertical load (weight) | 62700 |
Vertical distance from center of gravity | |
to load application point | 7.1 |
Soil submerged unit weight | 10.0 |
Soil friction angle | 33° |
Soil Poisson's ratio | 0.2 |
Foundation elastic shear moduli, | 5.14 × 104 |
3.87 × 103 | |
2.04 × 103 | |
Constant coefficient, | 1.0 |
Constant coefficient, | 0.5 |