有杆泵抽油井地面边界条件的分析

对描述有杆泵抽油井三维振动的数学模型进行了进一步的研究,主要分析了地面边界条件中油管速度和液柱压力变代后对示功图的影响。计算表明,各油管在井口处存在微振动或液柱出口压力有变化时,地面示功图和井下示功图均无明显变化。这就证明以往的假设(v_t(0,t)=0,P_f(0,t)=P_0=常量)是合理的。

An Analysis on the Surface Boundary Conditions of Sucker-Rod Pumping Wells

The authors study the mathematical models of three-di-mensional vibration of the sucker rod pumping well, withits emphasis on how the changes of tubing vibrating speed andliquid volume pressure, the two surface boundary conditions,influence the indicator diagram. Calculations show that whenthe rod has microvibration at the wellhead and the ontlet li-quid pressure changes, both the surface and downhole indicatordiagrams have no obvious changes. This result proves that thehypothesis (v_t (0, t)=0, P_f(0, t)=P_0=constant) is reasonable.