水平井筒摩擦压降对井产能的影响

Influence of frictional pressure drop along
horizontal wellbore on well productivity

 梁冠民 周生田

 中国石油大学数学与计算科学学院，山东东营257061

College of Mathematics and
Computational Science, China University of Petroleum,
Dongying 257061, China

 水平井筒内的摩擦压降对于水平井的生产动态来说是一个具有支配性的因素，
筛管和割缝衬管完井的摩擦压降将会变得尤其重要。对水平井单相稳流系统，综合考虑摩擦损
失造成的水平井筒压降和变质量流特点，联立水平井的油藏渗流和水平井筒中的流动，建立了
水平井筒存在压力梯度的变质量耦合模型，对模型微分方程进行数值求解。对参数进行敏感性
分析以讨论摩擦压降对产能的影响。该模型还可以用于确定合理的水平井筒段长度。

Frictional pressure drop within the wellbore is frequently
a controlling factor on the performance of long horizontal wells.
The frictional pressure drop could be especially significant in
wells completed with screens and slotted liners. For a single
phase steady system, considering the pressure drop created by
friction and the character of the variable mass flow in the
wellbore, a variable mass model with pressure gradient is
developed by coupling the percolation in reservoir with the
flow in the wellbore. The model equations are solved
numerically. The effects of the friction on well productivity is
discussed from the sensitivity analysis. As an application of the
result, the optimum horizontal well length can be calculated
with this model.