Mathematical Model Coupling Seepage in the Reservoir with Flow in the Horizontal Wellbore
Mathematical Model Coupling Seepage in the Reservoir with Flow in the Horizontal Wellbore
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发表时间：
2007
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通讯作者：
Li Ming-zhong
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作者：
Li Ming-zhong
利用势理论对多孔介质中两相稳定流动进行了分析。在描述无限大地层三维稳定势和水平井筒射孔势分布的基础上，建立了多孔介质流动与水平井筒流动耦合的数学模型。该模型可以同时描述储层水平井筒内的油气两相流动和单相流动。给出了模型的求解过程，并通过算例分析了流量和压力的分布。结果表明：水平井通量分布曲线呈凹形，压力变化较小；该模型为水平井产量预测和井长优化提供了依据。
The two-phase stable flow in porous media was analyzed using potential theory.Based on the description of infinite stratum three-dimensional stable potential and potential distribution of perforation borehole in horizontal wellbore,a mathematical model coupling the flow in porous media with flow in horizontal wellbore was established.The model can describe oil-gas two-phase and single-phase flow in reservoir-horizontal wellbore simultaneously.The solution process of the model was also presented,and with an example the distribution of the flux and pressure were analysed.The result shows that the flux distribution curve of the horizontal well is concave and the change of the pressure is small.The model provides a basis for horizontal wells production forecast and length optimization.