The present work is aimed at simulating the phenomenon of propagating buckles, which threatens the structural integrity of offshore pipelines. During installation, the pipeline is subjected to a combination of external pressure and structural loads, that may cause buckle initiation. Upon initiation, the buckle may propagate under relatively low levels of pressure, flattening the entire pipe. The phenomenon is simulated in a full three-dimensional model with ABAQUS, using nonlinear elastic-plastic finite elements.  The results are compared with two-dimensional solutions, available experimental data, as well as with existing design formulae. Finally, the arrest of buckle propagation is simulated, modeling heavy ring stiffeners (arrestors), which increase the hoop stiffness of the pipe.