不稳定试井考虑相重新分布瞬态压力精确解

THE ACCURATE SOLUTION OF THE TRANSIENT PRESSURE IN THE UNSTEADY WELL TEST CONSIDERING PHASE REDISTRIBUTION

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。

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.