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本文用数值法求解描述水平井流动状态的偏微分方程。获得储油层中各节点的压力分布和三个方向上的速度分布，从而计算水平井的理想产能。并建立了储层中砂浓度的场模型，由此预测出砂井的出砂量。
In this paper, the numerical method is used to solve the partial differential equation describing the flow state of horizontal wells. Obtain the pressure distribution of each node in the reservoir and the velocity distribution in three directions to calculate the ideal productivity of the horizontal well. And established a field model of sand concentration in the reservoir to predict the amount of sand produced from the sand well.