Abstract: This paper utilizes Fair's model,taking both wellbore storage and skin effect and "humpeffect" to interprete the well testing records of a single well in a homogeneous reservoir.Laplace's transform is applied firsst, then residual theory is used,and finally integral inversetransform is performed to give a solution in the real space, This method differs from previousrnethod which gives a form of Laplace,s numerical inverse transform. Therefore, it has highaccuracy and requires a shorter time,because a concrete form of the solution are given.Thus,it improves the structural system of those solutions for well test of a single well in ahomogeneous reservoir,Finally,some actual field examples are given to illustrate the methodpresented.

Key words: instability well testing, type curve, integral transform, wellbore storage, homogeneous reservolr

摘要： 采用Fair模型,对均质油藏中一口单井的瞬态压力恢复,考虑井筒储存和表皮效应以及“鸵峰效应”的影响,应用Laplace变换求解,最后采用残数理论进行积分反演变换,给出实空间上积分解的形式.本法-反过去的Laplace数字反演进行求解,特别对于时间很短的早期计算具有很高的求解精度.由于给出解的具体结构形式,进一步完善了均质油藏试井理论解的结构系统.对现场实例进行了参数拟合分析.

关键词: 不稳定试井, 典型曲线, 积分变换, 井筒储存, 均质油藏