考虑变启动压降和高速非达西渗流的产能计算新方法

New Productivity Calculation Method Considering No Constant Starting Pressure Drop and High Velocity Non-Darcy Flow

  • 摘要: 为了研究启动压力梯度引起的与产量有关的变启动压力降和近井地带高速非达西渗流引起的高速非达西附加压力降对气井产能的影响,基于气体稳定渗流微分方程,对启动压力降和高速非达西附加压降进行修正,推导了既考虑变启动压降又考虑井筒附近高速非达西渗流的产能方程。实际情况表明,常规的产能方程只是该方程的简化,并模拟了启动压力梯度和高速非达西渗流区域的变化对产能的影响。随着启动压力梯度和高速非达西渗流区域的变化 ,地层渗流分为3个阶段:启动压力梯度控制阶段、启动压力梯度和高速非达西渗流共同控制阶段和高速非达西渗流控制阶段。分析了3个阶段的产能方程系数变化和产能变化,得到了气井无阻流量的范围和产能方程系数与产能的变化规律。

     

    Abstract: Starting pressure drop connected with productivity is not constant and high velocity non-Darcy flow only occurs in the immediate vicinity of well bore,both of which influence productivity.In order to research their effects on productivity,based on gas steady percolation differential equation,the calculation formula for starting pressure drop and additional high velocity non-Darcy flow pressure drop have been revised,and new deliverability equation have been derived which consider both no constant starting pressure drop and high velocity non-Darcy flow drop in the near well bore area.The conventional productivity equation is just a simplified form from it.In addition,we simulated the impact of starting pressure gradient and high velocity non-Darcy flow variations on productivity,finding out that the formation percolation can be divided into three stages:A stage when the starting pressure gradient controls the flow;B stage when both the starting pressure gradient and non-Darcy flow control the flow;and C stage when non-Darcy flow controls the flow.In the study,the changes of deliverability equation coefficients and productivity at the three stages were analyzed,and the range of open flow capacity and the law of deliverability equation coefficients and productivity were figured out.

     

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