不同泄油体模式下水平井产能方程分析

Analysis on Deliverability Equation for Horizontal Well in Different Oil Drainage Body Models

水平井产量计算公式众多,不同泄油体模式下的水平井产量计算公式和适用条件不同。根据油藏大小、水平井段长度及油藏边界形状等因素,将水平井泄油体分为圆柱形、椭球形和箱形三种主要模式。以单相稳态流动为基础,选择国外有代表性的水平井产能方程,对其特点和应用条件进行分析,同时阐述国内相关学者的水平井产能方程。所介绍的产能公式均是将三维流动转换为二维流动,采用复势叠加原理和镜像反映原理进行数学推导,在形式上具有明显的相似性,都是基于几种理想化的假设条件和一定的简化处理,因此预测结果与真实值存在一定误差。

There are numerous calculation formulas of horizontal well production and the calculation formulas and application conditions are different in different oil drainage body models.Oil drainage bodies of horizontal well may be divided into such main models as cylindrical model,oval model and box type model on the basis of oil deposit size,horizontal well segment length and oil deposit boundary shape.Based on single phase stable state flow,selected are representative foreign horizontal well productivity equations,analyzed are their characteristics and application conditions and discussed are horizontal well productivity equations studied and developed by domestic scholars.All of the productivity equations will transform three-dimensional flow into two-dimensional flow and adopted are complex potential superposition principle and mirror image reflection principle to conduct mathematical deduction.All of forecast results have apparent similarity in the form and are based on idealized and assumed conditions and have been simplified,so there are errors between forecast results and true values.