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本文建立了考虑井筒附近存在高速非达西渗流的孔隙性油藏油井的试井解释模型,采用有限差分方法,求解了无因次数学模型。研究了高速非达西渗流的特征,作出考虑高速非达西渗流影响的理论图版,包括压力图版和压力导数图版。同时,利用无因次数学模型的简化解,指出井底附近地层存在污染(或改善)的复合油藏压力导数特征,研制出新型理论图版。文中结合实例,说明本文理论图版的应用方法。
In this paper, a well testing interpretation model is established for a well that considers the existence of high-velocity non-Darcy seepage in the vicinity of the wellbore. The finite difference method is used to solve the dimensionless mathematical model. The characteristics of high-velocity non-Darcy seepage are studied, and theoretical plates considering the influence of high-velocity non-Darcy seepage are made, including pressure plate and pressure derivative plate. At the same time, using the simplified solution of the non-dimensional mathematical model, the characteristics of the pressure derivative of the composite reservoir with pollution (or improvement) in the strata near the bottom of the well are pointed out and a new theoretical plate is developed. In this paper, an example is given to illustrate the application of this theoretical version.