Abstract:

In this paper, we get the general solution of generalized convection-diffusion (C-D) equation in Laplace space, and then get the solution under the condition of uniform pressure or non-permeable outer boundary, taking wellbore storage and skin effect into account. We calculate and discuss the effects on dimensionless bottom hole pressure (Pwd) of porosity spectral exponent, permeability spectral exponent, wellbore storage coefficient, and skin factor. After the effect of non-permeable boundary condition reaches the bottom hole ,a straight line on log-log plot yields with slope of 1.0.

Key words: Reservoirs, Well test interpretation, Bottom hole pressure, Pressure behavior, Performance analysis