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根据油藏动态分析的实际需要 ,建立了考虑井筒储集和表皮效应及三种外边界条件—定压外边界、封闭外边界和无穷大边界下的油层压力分布数学模型。利用Laplace变换和Bessel函数求解出了相应的Laplace空间中的精确解 ,并对解的应用作出了较为详尽的阐述。尤其对在Laplace空间中直接进行试井分析的方法 ,指出了其具体的应用步骤 ,为实际应用提供了一个新的途径
According to the actual needs of reservoir dynamic analysis, the mathematical model of reservoir pressure distribution considering wellbore storage and skin effect and three kinds of external boundary conditions, namely fixed pressure outer boundary, closed outer boundary and infinite boundary, is established. Laplace transform and Bessel function are used to solve the exact solution in Laplace space. The application of the solution is explained in more detail. Especially for the method of direct well test analysis in Laplace space, the concrete application steps are pointed out, which provides a new way for practical application