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

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  • Jing Lu
  • Tao Zhu
  • Djebbar Tiab
  • Jalal Owayed

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.

Suggested Citation

  • Jing Lu & Tao Zhu & Djebbar Tiab & Jalal Owayed, 2009. "Productivity Formulas for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-34, August.
    • Handle: RePEc:hin:jnlmpe:626154
    DOI: 10.1155/2009/626154
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