Abstract
Taking a partially penetrating vertical well as a uniform line sink in three‐dimensional space, by developing necessary mathematical analysis, this paper presents steady state productivity formulas for an off‐center partially penetrating vertical well in a circular cylinder drainage volume with constant pressure at outer boundary. This paper also gives formulas for calculating the pseudo‐skin factor due to partial penetration. If top and bottom reservoir boundaries are impermeable, the radius of the cylindrical system and off‐center distance appears in the productivity formulas. If the reservoir has a gas cap or bottom water, the effects of the radius and off‐center distance on productivity can be ignored. It is concluded that, for a partially penetrating vertical well, different productivity equations should be used under different reservoir boundary conditions.
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