Abstract: For low non-Darcy flow in vertically fractured wells,based on the generalized Darcy's law,a series of non-Darcy flow differential equations and definite conditions of vertical fractured wells are built up.We assume that the stratum and fluid are slightly compressible and the outer edge is circular.Hybrid grids of regular and PEBI grids are used to divide solution domains.Numerical solution of bottomhole pressure is obtained with finite difference method.The bottomhole pressure and its derivative with finite conductivity considering the skin and well-bore storage effects are analysed in detail.The numerical solution closes to the theoretical result.

Key words: hybrid grid, PEBI grid, non-Darcy flow, vertically fractured wells