Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2010, Article ID 907206, 35 pages
Research Article

Pseudo-Steady-State Productivity Formula for a Partially Penetrating Vertical Well in a Box-Shaped Reservoir

1Department of Petroleum Engineering, The Petroleum Institute, P.O. Box 2533, Abu Dhabi, UAE
2Mewbourne School of Petroleum and Geological Engineering, The University of Oklahoma, T-301 Sarkeys Energy Center, 100 East Boyd Street, Norman, OK 73019-1003, USA

Received 8 September 2009; Accepted 9 February 2010

Academic Editor: Alexander P. Seyranian

Copyright © 2010 Jing Lu and Djebbar Tiab. 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. J. Lu and D. Tiab, “Productivity equations for an off-center partially penetrating vertical well in an anisotropic reservoir,” Journal of Petroleum Science and Engineering, vol. 60, no. 1, pp. 18–30, 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Lu and D. Tiab, Productivity Equations for Oil Wells, VDM, Saarbrücken, Germany, 2009.
  3. R. M. Butler, Horizontal Wells for the Recovery of Oil, Gas and Bitumen, Canadian Institute of Mining, Metallurgy and Petroleum, Montreal, Canada, 1994.
  4. G. L. Ge, The Modern Mechanics of Fluids Flow in Oil Reservoir, Petroleum Industry Publishing, Beijing, China, 2003.
  5. 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
  6. P. Papatzacos, “Approximate partial penetratin pseudo skin for infinite conductivity wells,” SPE Reservoir Engineering, vol. 3, no. 2, pp. 227–234, 1988. View at Google Scholar
  7. A. M. Bervaldier, Underground Fluid Flow, Petroleum Industry Publishing, Beijing, China, 1992.
  8. J. Lu, T. Zhu, D. Tiab, and J. Owayed, “Productivity formulas for a partially penetrating vertical well in a circular cylinder drainage volume,” Mathematical Problems in Engineering, vol. 2009, Article ID 626154, 34 pages, 2009. View at Publisher · View at Google Scholar
  9. D. N. Dietz, “Determination of average reservoir pressure from build-up surveys,” Journal of Petroleum Technology, vol. 17, no. 8, pp. 955–959, 1965. View at Publisher · View at Google Scholar
  10. R. C. Earlougher Jr., H. J. Ramey Jr., F. G. Miller, and T. D. Mueller, “Pressure distributions in rectangular reservoir,” Journal of Petroleum Technology, February 1968. View at Google Scholar
  11. M. Fogiel, Handbook of Mathematical, Scientific, and Engineering, Research and Education Association, Piscataway, NJ, USA, 1994.
  12. A. N. Tikhonov, Equations of Mathematical Physics, Pergamon Press, New York, NY, USA, 1963.
  13. P. R. Wallace, Mathematical Analysis of Physical Problems, Dover, New York, NY, USA, 1984.
  14. H. F. Weinberger, A First Course in Partial Differential Equations, Research and Education Association, New York, NY, USA, 1965.
  15. D. Zwillinger, Standard Mathematical Tables and Formulae, CRC Press, New York, NY, USA, 1996.
  16. I. S. Gradshteyn, Table of Integrals, Series, and Products, Academic Press, San Diego, Calif, USA, 2007.