控制水泥面工具关闭球运动的数学模型及应用

Mathematical model and its application of moving ball of cement surface controlling tool

李士斌 刘广维 姚辉阳 张立刚 李钢1

东北石油大学石油工程学院油气井工程系，黑龙江 大庆 163318 中国石油大庆油田有限责任公司第一采油厂，黑龙江 大庆 163318

College of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, China No.1 Oil Production Plant, Daqing Oilfield Co. Ltd., PetroChina, Daqing 163318, China

为解决大庆油田使用控制水泥面工具控制水泥返高、预防油层套损过程中的延时测声变遇阻问题，文中通过研究球体在管柱内的运动状态，建立了任意流固密度条件下球体在流体中运动速度的计算模型，预测了尼龙球到达预定位置的时间，实现了预计顶替量与实际顶替量的吻合。由此替除了一次顶替过程中套管内残留的被水泥浆污染的钻井液，避免了由于被污染钻井液局部稠化、黏切增高，使仪器下行困难甚至遇阻导致的延时声变检测遇阻问题。

In order to solve the blocked problem in the process of acoustic logging, which caused by the using of the cement surface tool to control the returning height of the cement surface, and prevent the casing pipe in oil layer damaged in Daqing Oilfield, this paper studies the moving state of the ball in the casing pipe and establishes the mathematical model about the velocity of the ball in fluid no matter the density of the fluid and solid is. It also predicts the time of ball moving to the position, making the expected replacing volume equal to the actual replaceing volume and removing the remaining drilling fluid in the casing pipe in the first replacing process polluted by the cement. The blocked problem caused by the polluted drilling fluid multiviscosity partly can be avoided in the process of acoustic logging.

10.6056/dkyqt201402025