Research Papers: Petroleum Wells-Drilling/Production/Construction

Non-Darcy Binomial Deliverability Equations for Partially Penetrating Vertical Gas Wells and Horizontal Gas Wells

[+] Author and Article Information
Jing Lu, Shawket Ghedan, Tao Zhu

Department of Petroleum Engineering, The Petroleum Institute, P.O. Box 2533, Abu Dhabi, United Arab Emirates

Djebbar Tiab

Mewbourne School of Petroleum and Geological Engineering, The University of Oklahoma, Norman, OK 73019

J. Energy Resour. Technol 133(4), 043101 (Nov 10, 2011) (5 pages) doi:10.1115/1.4005240 History: Received March 11, 2010; Revised September 07, 2011; Accepted September 26, 2011; Published November 10, 2011; Online November 10, 2011

Many gas reservoirs are with bottom water drive. In order to prevent or delay unwanted water into the wellbore, the producing wells are often completed as partially penetrating vertical wells, and more and more horizontal wells have been drilled in recent years in bottom water drive gas reservoirs to reduce water coning and increase productivity. For a well, non-Darcy flow is inherently a near wellbore phenomenon. In spite of the considerable study that non-Darcy behavior of fully penetrating vertical wells, there has been no study of a partially penetrating vertical well or a horizontal well in a gas reservoir with bottom water drive. This paper presents new binomial deliverability equations for partially penetrating vertical gas wells and horizontal gas wells, assuming that only radial flow occurs in the near wellbore non-Darcy’s flow domain. The inflow performance of a vertical gas well is compared with that of a horizontal gas well. The proposed equations can account for the advantages of horizontal gas wells.

Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Vertical well model

Grahic Jump Location
Figure 2

Horizontal well model



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