针对钻井隔水管与钻井液在上返流动状态下的震动问题,推导了横向耦合振动的微分方程,通过方程求解得出了耦合振动的动力响应表达式及耦合振动下隔水管最大振动位移,并讨论了顶张力、隔水管壁厚、钻井液上返流速、水深、波高、波浪周期对隔水管横向振动位移的影响.结果表明:考虑钻井液流动条件下得到的隔水管横向最大振动位移要大于不考虑钻井液流动时计算结果;最大横向振动位移随顶张力及水深的增大而减小,随环空钻井液返速及波高的增大而增大,当隔水管壁厚及波浪周期变化引起隔水管横向振动固有频率与波浪横向振动频率相接近时,隔水管的横向振动位移将急剧增大,对隔水管的安全设计与评估具有一定的参考价值.
Based on the vibration of drilling riser and drilling lfuid in the upward return lfow state, the differential equation of transverse coupling vibration has been deduced. Via the equation solving, the dynamic response expression of coupling vibration and the maximum vibration displacement of riser in the coupling vibration have been ifgured out. Besides, the effects of top tension, riser wall thickness, upward return lfow rate of drilling lfuid, water depth, wave height and wave period on the transverse vibration displacement of riser have been discussed. According to the results, the maximum transverse vibration displacement of riser, which was calculated with consideration of the drilling lfuid lfow, is greater than the calculation result when the lfow of drilling lfuid is not considered; the maximum transverse vibration displacement decreases as the top tension and water depth increase, and increases as the return speed of annular drilling lfuid and wave height increase; when the changes of riser wall thickness and wave period cause the transverse vibration inherent frequency of riser to be close to the transverse vibration frequency of wave, the transverse vibration displacement of riser will sharply increase. That has certain reference value to the safety design and assessment of riser.