多控制点水平井靶体边界计算

Calculation on the boundary of horizontal well target with multiple control points

冯小科 汪松柏 胡亚鹏 张猛 杜言平 鲁港

FENG Xiaoke WANG Songbo HU Yapeng ZHANG Meng DU Yanping LU Gang

中国石化河南石油工程有限公司 中国石油辽河油田勘探开发研究院

SINOPEC He’ nan Petroleum Engineering Co. Ltd., Nanyang, Henan 473132, China Exploration and Development Research Institute of PetroChina Liaohe Oilfield Company, Panjin, Liaoning 124010, China

为在钻井设计软件中精确地绘制出多控制点水平井靶体，给出了多控制点水平井靶体的数学定义。以矢量代数为数学工具，利用靶体设计轴线上任意点的法面坐标，给出了靶体外边界曲线的数学定义，提出了曲边长方体靶的新概念，建立了靶体外边界曲线的计算公式。钻井设计软件开发实践及应用效果表明，曲边长方体靶的定义是合理的，计算公式是精确的，且易于编程实现；可以在水平投影图、垂直投影图、剖面展开图、三维图形中精确地绘制出水平井靶体图形。

The mathematical definition of horizontal well target with multiple control points was set, so as to describe it accurately in the drilling design software. The vector algebra was used as the mathematical tool, and the external boundary curve of target was mathematically defined by using the normal plane coordinates of an arbitrary point on the target design axis. Then, a new concept of cuboid target with curved boundary was proposed and the calculation formula was also established for the external boundary curve of target. And finally, the drilling design software was applied in field. It is shown that the definition of cuboid target with curved boundary is reasonable and its calculation formula is accurate and can be easily presented in programming. Moreover, it was made possible to draw horizontal well targets accurately in horizontal projection, vertical projection, profile expansion and 3D diagrams.

10.13639/j.odpt.2016.03.0002