pseudo-steady-state productivity formula for a partially penetrating vertical well in a box-shaped reservoir

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ID: 161682
2010
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Abstract
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.
Reference Key
lu2010mathematicalpseudo-steady-state Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jing Lu;Djebbar Tiab
Journal journal of power sources
Year 2010
DOI
10.1155/2010/907206
URL
http://dx.doi.org/10.1155/2010/907206
Keywords
civil engineering (general)mathematics engineering (general)

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