论文部分内容阅读
阶梯形水平井段用于开发层叠状的多个油层,比用多口水平井来开发具有节省钻井投资、提高开采效率等优点。建立了阶梯形水平井段所满足的二元非线性方程组,对于常用的5种不同的未知数组合情况,使用数学化简技巧将该方程组归结为3种标准形式的三角函数方程组。推导出了3种标准形式方程组的解析解计算公式。在求解阶梯形水平井段设计问题时,增降斜井段的拐点处的井斜角是一个关键未知数,而油层井段的长度、增(降)井段的井眼曲率可以作为另一个未知数。以某水平井开发2个不同深度的薄油层为算例,对计算公式进行了验证,并与文献上的数据进行了对比,证实了计算公式的正确性。计算公式具有与具体未知数组合情况相对独立的特点,更有利于计算机软件开发时的模块化编程实现。
The step-shaped horizontal section is used to develop multiple layers of laminated layers. Compared with using multiple horizontal wells to develop, it has the advantages of saving drilling investment and improving mining efficiency. The bivariate nonlinear equations satisfied by step-shaped horizontal well sections are established. For the commonly used five different unknowns, the equations are reduced to three kinds of standard trigonometrical equations using the mathematical simplification technique. The analytic solutions of three standard formal equations are deduced. When solving the design problem of stepped horizontal section, the inclination of the inflection point of the inclined section is a key unknowns. However, the length of the reservoir section and the curvature of the wellbore in the increasing (lowering) section can be regarded as another unknowns . Taking two thin reservoirs of different depths developed in a horizontal well as an example, the calculation formula was verified and compared with the data in the literature to confirm the correctness of the calculation formula. The calculation formula has the characteristics of being independent of the combination of specific unknowns, and is more conducive to the modular programming of computer software development.