Productivity Formulas for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume

Abstract EN

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.