不同注采方式的流场计算模型及物模验证

针对不同注采方式（直井水平井一注一采、水平井一注一采、水平井两注一采）流场分布问题，开展了不同注采方式下流场数学计算模型和物理模拟研究。采用保角变换和镜像反映原理，建立了不同注采方式流场数学模型，推导出势函数和流函数数学表达式，得到不同注采方式内部等势线和流线分布图。通过开展不同注采方式下水驱油物理模拟实验研究，对不同注采方式流场计算模型计算结果进行对比验证。结果表明，不同注采方式流场计算模型计算结果与物模实验结果具有很好的一致性。直井水平井一注一采内部流场表现出一定的线性流，水驱波及面积较常规直井注采方式有所增大。水平井一注一采内部注采井间流线呈线性流，与直井水平井一注一采相比，流线控制的面积增大，驱替效果更好。水平井两注一采内部水平生产井跟端和趾端附近流线较为密集，水平生产井中部位置附近流线相对稀疏易形成滞油区。

Flow Field Calculation Model and Verification by Physical Model in Different Injection Production Well Pattern

Regarding the problems on flow field distribution with different injection-production schemes (single injection and single production of vertical well and horizontal well, single injection and single production of horizontal well, and dual injection and single production of horizontal well), the study on mathematical calculation models of flow field and physical simulation with different injection-production schemes is carried out. Both conformal transformation and the mirror image reflection theory are applied to establish the mathematical model of the flow field for different injection-production schemes and deduce the mathematical expressions for the potential function and stream function. Thus, the inner equipotential lines and streamline distribution diagrams of different injection-production schemes are obtained. The computational results of the calculation model of the flow field for different injection-production schemes are compared and verified through a physical simulation experiment of water-oil displacement with different injection-production schemes. The results show that the calculation results of the calculation model for flow fields in different injection-production schemes are basically consistent with the physical simulation experiment results. The inner flow field for the single injection and single production of vertical and horizontal wells shows a certain linear flow, and both the water-driving wave and area are increased compared to the conventional injection-production schemes of vertical well. The inner injection-production cross-well streamline of single injection and single production in horizontal wells presents a linear flow. The area controlled by the streamline is larger; the displacement effect is better in comparison with single injection and single production of vertical and horizontal wells. The streamline near the heel end and toe end of the inner horizontal production well in dual injection and single production of a horizontal well is relatively dense; that near the mid position of the horizontal production well is relatively sparse, being easy to form a lag oil zone.