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沃格尔在研究了大量的溶解气驱油藏的油井流入动态之后,得出了无因次的IPR参考曲线,并给出了这条曲线的经验方程。此方程得到了广泛的应用,直到今天,油藏技术人员仍应用这个方程来进行工程计算。本文以与压力有关几种试验资料为基础,借助于函数H,经过数学推导,从理论上证明了沃格尔流动方程的正确性。同时还证得其方程的常数项之值恰好等于压力比的一次项系数和二次项系数之和。
Vogel, after studying a large number of well inflows in dissolved gas-flooding reservoirs, obtained a dimensionless IPR reference curve and gave an empirical equation for this curve. This equation has been widely used until today, reservoir technicians still use this equation for engineering calculations. Based on several experimental data related to pressure, this paper proves the correctness of Vogel flow equation theoretically through the mathematical derivation of function H. At the same time, it is proved that the value of the constant term of the equation is exactly equal to the sum of the first-order coefficient and the second-order coefficient of the pressure ratio.