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在低渗透介质中压力扰动传播规律直接反映了井周围储层的动用范围。通过积分方法近似求解含启动压力梯度和动边界的非线性平面径向不稳定渗流数学模型,得到一种新的压力分布规律和动边界传播规律的解析表达式。在启动压力梯度为零的情况下计算井壁压力,并与经典结果及其他5种解式计算结果对比,文中解析表达式计算结果是准确可靠的。
The law of pressure disturbance propagation in low permeability media directly reflects the range of reservoir utilization around the well. A mathematical model of unsteady seepage of nonlinear plane with initial pressure gradient and moving boundary is approximated by integral method, and a new analytical expression of pressure distribution law and dynamic boundary propagation rule is obtained. When the pressure gradient is zero, the wellbore pressure is calculated, and compared with the classical results and the other five solutions, the results of analytical expressions are accurate and reliable.