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针对线性复合油藏的特点,建立了无限大外边界的线性复合油藏水平井试井模型,利用Laplace变换、有限Fourier余弦变换以及Fourier变换对模型进行求解,最后利用Stehfest数值反演绘制了压力典型曲线,对整个不稳定渗流过程进行了流动阶段的划分,分析了相关因素对压力典型曲线的影响.结果表明:无限大外边界的线性复合油藏水平井的渗流过程可以分为7个流动阶段:水平井与两区分界面的夹角对压力典型曲线几乎没有影响,而水平井中心距两区分界面的无因次距离对压力影响较大,无因次距离值越小,中期径向流阶段的持续时间越短,晚期径向流阶段的开始时间越早.
According to the characteristics of linear composite reservoir, a horizontal well testing model for linear composite reservoir with infinite outer boundary is established. Laplace transform, finite Fourier cosine transform and Fourier transform are used to solve the model. Finally, the pressure is calculated by Stehfest numerical inversion The typical curve shows the flow stages of the whole unsteady seepage process, and analyzes the influence of relevant factors on the typical pressure curve.The results show that the seepage process of the horizontal composite wells with infinite outer boundary can be divided into seven flows Stage: the angle between the horizontal well and the two discriminating interfaces has almost no effect on the typical pressure curve, while the dimensionless horizontal distance between the center of the horizontal well and the two discriminating interfaces has a greater influence on the pressure. The smaller the dimensionless distance value, the medium-term radial flow The shorter the duration of the phase, the earlier the late radial flow phase begins.