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针对复合油藏,建立了考虑井筒储集和表皮效应和三种外边界(无穷大、定压、封闭)条件下的试井分析模型;利用Laplace变换,在Laplace空间中得到了储层压力和井底压力分布的精确解;经全面和深入的分析,发现了描述该类油藏在三种外边界条件下的渗流特征的解式之间具有的相似结构,并作了进一步的讨论.这项研究,极大地方便了试井分析软件的编制,对油气藏渗流规律的理论研究也具有深远的意义.
In the case of composite reservoirs, a well testing analysis model considering wellbore storage and skin effect and three outer boundaries (infinity, constant pressure, and seal) is established. By using Laplace transform, reservoir pressure and well are obtained in Laplace space The exact solution of the pressure distribution at the bottom of the reservoir is analyzed thoroughly and in depth and the similar structure between the solutions of the seepage characteristics of these reservoirs under the three outer boundary conditions is found and further discussed. Research, which greatly facilitates the compilation of well test analysis software, also has far-reaching significance on the theoretical study of seepage law of oil and gas reservoirs.