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为了提高单井产量和降低生产成本,很多生产井都采用多层合采的方式进行生产。然而传统的多层油藏渗流模型常常忽略了非线性偏微分方程中的二次梯度项,从而违背了物质平衡条件,进而不能准确反映地下原油在多层油藏中的渗流规律。为此,该文保留非线性偏微分方程中的二次梯度项,建立了考虑井筒储集与表皮效应影响的多层油藏渗流模型,采用全隐式有限差分对模型进行离散,并应用迭代方法进行求解,绘制了井底压力和分层产量的理论变化曲线,最终分析了二次梯度项对多层油藏的井底压力动态和各层产量分布的影响。研究结果有利于提高对多层油藏渗流规律的认识,为合理地运用直井开发多层油藏提供理论依据。
In order to improve single-well production and reduce production costs, many production wells are produced in a multi-storey manner. However, the traditional multi-reservoir reservoir seepage model often neglects the quadratic gradient in the nonlinear partial differential equation, thus violating the material balance conditions, and thus can not accurately reflect the underground oil flow in multi-layered reservoir. For this reason, the paper holds the quadratic gradient term in the nonlinear partial differential equation and establishes a multi-layer reservoir seepage model that takes into account the influence of wellbore storage and skin effect. The model is discretized using all implicit finite difference, and the iteration Method, the theoretical curve of bottom hole pressure and stratification yield is drawn. Finally, the effect of quadratic gradient on the bottom hole pressure dynamics and the yield distribution of each layer is analyzed. The results are helpful to improve the understanding of the seepage law of multi-layered reservoirs and provide a theoretical basis for the rational use of vertical wells in the development of multi-layered reservoirs.