Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2009, Article ID 267964, 33 pages
http://dx.doi.org/10.1155/2009/267964
Research Article

Pressure Drop Equations for a Partially Penetrating Vertical Well in a Circular Cylinder Drainage Volume

1College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
2Department of Petroleum Engineering, The Petroleum Institute, P.O. Box 2533, Abu Dhabi, United Arab Emirates

Received 8 October 2008; Accepted 2 January 2009

Academic Editor: Saad A. Ragab

Copyright © 2009 Jalal Farhan Owayed and Jing Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. Brons and V. E. Marting, “The effect of restricted fluid entry on well productivity,” Journal of Petroleum Technology, vol. 13, no. 2, pp. 172–174, 1961. View at Google Scholar
  2. H. Kazemi and M. S. Seth, “Effect of anisotropy and stratification on pressure transient analysis of wells with restricted flow entry,” Journal of Petroleum Technology, vol. 21, no. 5, pp. 639–647, 1969. View at Publisher · View at Google Scholar
  3. A. S. Odeh, “Steady-state flow capacity of wells with limited entry to flow,” Society of Petroleum Engineers Journal, vol. 243, pp. 43–51, 1968. View at Google Scholar
  4. M. S. Seth, “Unsteady-state pressure distribution in a finite reservoir with partial wellbore opening,” Journal of Canadian Petroleum Technology, vol. 7, pp. 153–163, 1968. View at Google Scholar
  5. M. W. Clegg and M. Mills, “A study of the behavior of a partially penetrating well,” Society of Petroleum Engineers Journal, vol. 9, no. 2, pp. 189–203, 1969. View at Google Scholar
  6. A. C. Gringarten and H. J. Ramey Jr., “Unsteady-state pressure distributions created by a well with a single horizontal fracture, partial penetration, or restricted entry,” Society of Petroleum Engineers Journal, vol. 14, no. 4, pp. 413–426, 1974. View at Publisher · View at Google Scholar
  7. A. C. Gringarten and H. J. Ramey Jr., “An approximate infinite conductivity solution for a partially penetrating line- source well,” Society of Petroleum Engineers Journal, vol. 15, no. 2, pp. 140–148, 1975. View at Google Scholar
  8. R. E. Collins, Flow of Fluids through Porous Media, Reinhold, New York, NY, USA, 1961.
  9. D. Zwillinger, Ed., CRC Standard Mathematical Tables and Formulae, CRC Press, Boca Raton, Fla, USA, 30th edition, 1996. View at Zentralblatt MATH · View at MathSciNet
  10. J. R. Ogden, Handbook of Mathematical, Scientific, and Engineering Formulas, Tables, Functions, Graphs, Transform, Research & Education Association, Piscataway, NJ, USA, 1994.
  11. A. N. Tikhonov and A. A. Smmrskii, Equations of Mathematical Physics, Pergamon Press, New York, NY, USA, 1963. View at Zentralblatt MATH
  12. P. R. Wallace, Mathematical Analysis of Physical Problems, Dover, New York, NY, USA, 1984. View at Zentralblatt MATH · View at MathSciNet
  13. H. F. Weinberger, A First Course in Partial Differential Equations with Complex Variables and Transform Methods, Blaisdell, New York, NY, USA, 1965. View at Zentralblatt MATH · View at MathSciNet
  14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, San Diego, Calif, USA, 1980. View at Zentralblatt MATH
  15. W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, UK, 1964. View at Zentralblatt MATH · View at MathSciNet
  16. D. Zwillinger, Handbook of Integration, Jones and Bartlett, Boston, Mass, USA, 1992. View at Zentralblatt MATH · View at MathSciNet