摘要
This paper proposes a mathematic model for well test analysis which perfectly describes the spherical flow through porous media in the homogenous reservoirs with the bottom-hole storage and the skin effects and the three kinds of outer boundary conditions (infinite boundary, constant pressure, closed boundary). By using the Laplace transform method, the solution of the dimensionless reservoir pressure and dimensionless bottom-hole pressure in Laplace space is got. The form and inherent characteristics of the similar structure and similar kernel function of the solution are analysed. The similar structure of the solution has to do with the inter boundary conditions only, moreover, it has nothing to do with the outer boundary conditions.