The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow for unsteady flow of a producing well in a reservoir. An analytic method to solve this kind of problem is in a need of reestablishment. The classical method of Green's function and Newman product principle in a new way are used to solve the unsteady state flow problems of various shapes of well and reservoir while considering the TPG. Four Green's functions of point, line, band and circle while considering the TPG are achieved. Then, two well models of vertical well and horizontal well are built and simultaneously the function to calculate the moving boundary of each well model is provided. The results show that when considering TPG the pressure field is much different, which has a sudden pressure change, with a moving boundary in it. And the moving boundary of each well model increases with time but slows down rapidly, especially when the TGP is large.
以鄂尔多斯盆地长7致密油藏岩心(K<0.1 m D)为研究对象,采用煤油和氮气作为实验流体,开展了应力敏感实验,结合铸体薄片、扫描电镜和恒速压汞实验结果,分析了致密油藏应力敏感特征的微观作用机理。从实验结果发现,致密油藏孔喉越细微,铁方解石胶结和石英加大作用越强烈,对孔喉的支撑作用越明显,因此液测应力敏感渗透率损失程度随着岩心渗透率的降低先增大后减小,但是恢复程度一直减小,最终出现完全不恢复的现象。同时,由于边界层的作用导致液体的临界孔喉半径远大于气体,而临界孔喉的影响导致液测应力敏感的渗透率损失程度和恢复程度与气测的差异随着渗透率的降低而增大。本文实验结果可为致密油藏产能预测及开发策略制定提供依据。
