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指出用传统的二项式产能方程来处理高压低渗气井的产能测试资料往往存在着不同程度的误差,有些井的误差较大。论述了高压低渗气藏固体表面边界层的形成机理和边界层效应对天然气非线性渗流的影响,由此得出了天然气在高压低渗边界层的流动不同于孔道中心流动的结论。在此基础上,建立了高压低渗气井非线性稳定渗流方程(高压低渗气井产能方程),并建立非线性规划模型求解方程未知系数,用交汇图解法求出其绝对无阻流量。通过实例计算证明了该方法的正确性、可靠性和实用性。
It is pointed out that the traditional binomial productivity equation is used to deal with the productivity test data of high pressure and low permeability gas wells with different degrees of error, and some wells have larger errors. The formation mechanism of solid surface boundary layer in high pressure and low permeability gas reservoir and the effect of boundary layer effect on the nonlinear seepage of natural gas are discussed. The conclusion is drawn that the flow of natural gas in high pressure and low permeability boundary layer is different from that in the center of channel. On this basis, the nonlinear steady seepage equation of high pressure and low permeability gas well (high pressure and low permeability gas well productivity equation) is established, and the nonlinear programming model is established to solve the unknown equation of the equation. The absolute unobstructed flow rate is obtained by the intersection graph method. The correctness, reliability and practicability of this method are proved by examples.