Pressure Drop Equations for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-19
Country of Publication
Egypt
No. of Pages
33
Main Subjects
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 unsteady-state pressure drop equations for an off-center partially penetrating vertical well in a circular cylinder drainage volume with constant pressure at outer boundary.
First, the point sink solution to the diffusivity equation is derived, then using superposition principle, pressure drop equations for a uniform line sink model are obtained.
This paper also gives an equation to calculate pseudoskin factor due to partial penetration.
The proposed equations provide fast analytical tools to evaluate the performance of a vertical well which is located arbitrarily in a circular cylinder drainage volume.
It is concluded that the well off-center distance has significant effect on well pressure drop behavior, but it does not have any effect on pseudoskin factor due to partial penetration.
Because the outer boundary is at constant pressure, when producing time is sufficiently long, steady-state is definitely reached.
When well producing length is equal to payzone thickness, the pressure drop equations for a fully penetrating well are obtained.
American Psychological Association (APA)
Owayed, Jalal Farhan& Lu, Jing. 2009. Pressure Drop Equations for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-33.
https://search.emarefa.net/detail/BIM-458879
Modern Language Association (MLA)
Owayed, Jalal Farhan& Lu, Jing. Pressure Drop Equations for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume. Mathematical Problems in Engineering No. 2009 (2009), pp.1-33.
https://search.emarefa.net/detail/BIM-458879
American Medical Association (AMA)
Owayed, Jalal Farhan& Lu, Jing. Pressure Drop Equations for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-33.
https://search.emarefa.net/detail/BIM-458879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458879