The invention belongs to the technical field of oil and gas exploitation, and particularly relates to a vibration prediction method of a completion
pipe string of a high-temperature, high-pressure andhigh-gas-rate well. The vibration prediction method comprises the following steps: A, establishing a vertical and horizontal
coupling dynamic model of the
pipe string by using the horizontal right direction as an x axis and the well vertical
depth direction as a y axis, and obtaining a
pipe string total
kinetic energy T calculation formula and a pipe string total
potential energy U calculation formula; B, deducing the calculation formulae of the
longitudinal vibration differential equation f(x,t) and the horizontal vibration
differential equation p(x,t) of the pipe string; C, solving the
longitudinal vibration differential equation and the horizontal vibration differential equation of the pipe string; and D, analyzing the
longitudinal vibration displacement and the horizontal vibration displacement of the pipe string, the axial stress, the effective load and the
bending moment of the pipe string according to the calculation results. The vibration prediction method provided by the invention can obtain the stress condition of pipe strings with
arbitrary unit lengths in the completion pipe string, and theoretical support is provided for design, construction and maintenance of the completion pipe string of the high-temperature, high-pressure and high-gas-rate well.