无原始地层压力下的反褶积试井方法研究

针对Schroeter反褶积方法必须要已知原始地层压力，并且压力响应结果对原始地层压力非常敏感的问题，在Levitan方法的基础上，将原始地层压力以参考点压力与从系统平衡时刻到参考时刻的流量、压力响应的褶积之和来表示的方式，研究了在原始地层压力值未知情况下的反褶积试井。其结果与在真实原始地层压力下使用Levitan方法得到的结果一致，并且参考点的选择对反褶积得到的压力响应结果没有影响，不仅可以对全部数据反褶积，也可对部分数据反褶积。

STUDY OF DECONVOLUTION ALGORITHM WITHOUT INITIAL RESERVOIR PRESSURE FOR WELL TEST

Based on the fact that Schroeter deconvolution needs the initial reservoir pressure as a known condition，and that the reservoir response functions are much sensitive to the exactness of this value，a new method is proposed，based on Levitan method，to deconvolve without the knowledge of true initial reservoir pressure，which is obtained by convolution of rate and unit-rate pressure response from equilibrium time to reference time during deconvolution.Detailed comparisons between the results from this method and those from Levitan method involving true initial reservoir pressure show that it gives correct deconvolution results without initial reservoir pressure，and that the selection of reference time has no impacts on the final results.Moreover，it can deconvolve not only all test data，but also part of individual ones.