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建立了水平面为无流、定压和混合3种边界条件下均质油藏斜井单相流试井的理论模型,利用拉氏空间应用点源解及格林函数法导出3种边界条件下试井模型的拉普拉斯空间解,并用沿井筒平均均一流量解的方法推出了更接近于实际的无限导流解,应用叠加原理在拉氏空间加入井筒存储系数C_D和表皮因子S_m的影响后,用Stehfest数值反演的方法得到真实空间解.
A theoretical model of single-phase flow well testing in inclined wells in homogenous reservoirs under no-flow, constant-pressure and mixed boundary conditions was established. Under the three kinds of boundary conditions, the point source solution and Green’s function method were used to derive the boundary conditions Laplace space solution of the well model is introduced and the solution to the infinite infinite flow is derived by using the method of average uniform flow along the wellbore. After the influence of the wellbore storage coefficient C_D and the epidermal factor S_m is added in the Laplace space by using the superposition principle, , Using Stehfest numerical inversion method to get the real space solution.