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Pseudo-Steady-State Productivity Formula for a Partially Penetrating Vertical Well in a Box-Shaped Reservoir
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-35, 35 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-08
Country of Publication
Egypt
No. of Pages
35
Main Subjects
Abstract EN
For a bounded reservoir with no flow boundaries, the pseudo-steady-state flow regime is common at long-producing times.
Taking a partially penetrating well as a uniform line sink in three dimensional space, by the orthogonal decomposition of Dirac function and using Green's function to three-dimensional Laplace equation with homogeneous Neumann boundary condition, this paper presents step-by-step derivations of a pseudo-steady-state productivity formula for a partially penetrating vertical well arbitrarily located in a closed anisotropic box-shaped drainage volume.
A formula for calculating pseudo skin factor due to partial penetration is derived in detailed steps.
A convenient expression is presented for calculating the shape factor of an isotropic rectangle reservoir with a single fully penetrating vertical well, for arbitrary aspect ratio of the rectangle, and for arbitrary position of the well within the rectangle.
American Psychological Association (APA)
Lu, Jing& Tiab, Djebbar. 2010. Pseudo-Steady-State Productivity Formula for a Partially Penetrating Vertical Well in a Box-Shaped Reservoir. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-35.
https://search.emarefa.net/detail/BIM-507107
Modern Language Association (MLA)
Lu, Jing& Tiab, Djebbar. Pseudo-Steady-State Productivity Formula for a Partially Penetrating Vertical Well in a Box-Shaped Reservoir. Mathematical Problems in Engineering No. 2010 (2010), pp.1-35.
https://search.emarefa.net/detail/BIM-507107
American Medical Association (AMA)
Lu, Jing& Tiab, Djebbar. Pseudo-Steady-State Productivity Formula for a Partially Penetrating Vertical Well in a Box-Shaped Reservoir. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-35.
https://search.emarefa.net/detail/BIM-507107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507107