This paper presents short-time interpretation methods for radial-spherical (or radial-hemispherical) flow in homogeneous and isotropic reservoirs inclusive of wellbore storage, wellbore phase redistribution, and damage skin effects. New dimensionless groups are introduced to facilitate the classic transformation from radial flow in the sphere to linear flow in the rod. Analytical expressions, type curves (in log-log and semi log format), and tabulated solutions are presented, both in terms of pressure and rate, for all flow problems considered. A new empirical equation to estimate the duration of wellbore and near-wellbore effects under spherical flow is also proposed.
J. A. Joseph and L. Koederitz, "UNSTEADY-STATE SPHERICAL FLOW WITH STORAGE AND SKIN.," Society of Petroleum Engineers journal, vol. 25, no. 6, pp. 804 - 822, Society of Petroleum Engineers, Jan 1985.
The definitive version is available at https://doi.org/10.2118/12950-PA
Geosciences and Geological and Petroleum Engineering
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01 Jan 1985