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

Jing Lu | Zendy; Tao Zhu | Zendy; Djebbar Tiab | Zendy; Jalal Owayed | Zendy

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

Author(s) -

Jing Lu,

Tao Zhu,

Djebbar Tiab,

Jalal Owayed

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/626154

Subject(s) - cylinder , drainage , sink (geography) , radius , mechanics , productivity , penetration (warfare) , geometry , boundary value problem , volume (thermodynamics) , mathematics , geology , geotechnical engineering , physics , mathematical analysis , operations research , computer science , thermodynamics , geography , ecology , cartography , computer security , macroeconomics , economics , biology

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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