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本文用分段线性化的方法修正了Forchheimer方程,用组合油藏的研究方法,建立了单一介质、双重介质、三重介质非达西高速渗流问题的数学模型,并获得了单一介质,双重介质、三重介质非定常非达西高速渗流无穷大地层的解及相应的长时渐近解。单一介质、双重介质、三重介质非定常达西渗流及组合油藏达西渗流,只是上述问题的特殊情况。 从长时渐近解可知,三重介质的压力曲线有两个台阶,双重介质的压力曲线有一个台阶,单一介质的压力曲线没有台阶。 当产量很高时,压力曲线都会变成丁字型。
In this paper, the modified Forchheimer equation is modified by the piecewise linear method, and the mathematical model of non-Darcy high-velocity seepage problem of single medium, double medium and triple medium is established by the research method of combined reservoir. And single medium, double medium, Infinite Stratum Solutions and Corresponding Long - Term Asymptotic Solutions for Unsteady Tri - Medium Non - Darcy High Speed Percolation. Single medium, dual medium, non-steady Darcy flow in triple media and Darcy flow in combined reservoir are just special cases of the above problems. As can be seen from the long-time asymptotic solution, the pressure curve of the triple media has two steps, the pressure curve of the dual media has a step, and the pressure curve of the single medium has no steps. When the yield is high, the pressure curve will change to T shape.