Research Papers: Petroleum Engineering

Analytical Model to Estimate the Downhole Casing Wear Using the Total Wellbore Energy

[+] Author and Article Information
Joseph Nwachukwu

University of Houston
Houston, TX 77004

Robello Samuel

Halliburton Fellow
Houston, TX 77032

Contributed by the Petroleum Division of ASME for publication in the Journal of Energy Resources Technology. Manuscript received September 10, 2012; final manuscript received January 9, 2013; published online May 27, 2013. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 135(4), 042901 (May 27, 2013) (8 pages) Paper No: JERT-12-1207; doi: 10.1115/1.4023550 History: Received September 10, 2012; Revised January 09, 2013

The increasing complexities of wellbore geometry imply an increasing potential of damage resulting from the casing-wear downhole. Much work has been done to quantify and estimate wear in casing; however, the results of such predictions have been mixed. While the locations of critical-wear areas along the casing string have been predicted fairly accurately, quantifying the actual amount of casing wear has been a magnitude off. A mathematical model that describes this casing wear in terms of the total wellbore energy has been developed and used to estimate the depth of the wear groove and the wear volume downhole. The wellbore energy provides a mathematical criterion to quantify the borehole quality and incorporates the parameters, borehole curvature, and the wellbore torsion. The casing wear observed downhole is also an integral function of these two parameters. Hence, a combined “wear-energy” model has been proposed to estimate the casing wear in curved sections of the wellbore that have the drill string lying on its low side. The fundamental assumption of this model is that the volume worn away from the casing wall is proportional to the work done by friction on its inner wall by the tool joints only. It also assumes that the primary mechanism for casing wear is the rotation of the drill string, and the wear caused during tripping is insignificant. The borehole torsion models of wellbore trajectory, namely spatial-arc, natural-curve, cylindrical-helix, and constant-tool face, have been incorporated separately to enhance the accuracy of estimating the wear volume downhole. The wear-energy model for a detailed analysis of a practical example using real-time well survey data will be presented. Wear zones along the wellbore have been identified using a mathematical criterion of the “contact zone parameter.” The wear-groove depths for each contact zone along with an equivalent average wear for the curved section of the wellbore have been estimated. The wear volumes predicted by the various curvature and torsion models of wellbore energy have been graphically studied. The wellbore torsion has been found to significantly impact the casing-wear downhole.

Copyright © 2013 by ASME
Topics: Wear , Torsion
Your Session has timed out. Please sign back in to continue.


Lyons, K. D., Honeygan, S., and Mroz, T., 2008, “NETL Extreme Drilling Laboratory Studies High Pressure High Temperature Drilling Phenomena,” ASME J. Energy Resour. Technol., 130(4), p. 43102. [CrossRef]
Franca, L. F. P., 2010, “Drilling Action of Roller-Cone Bits: Modeling and Experimental Validation,” ASME J. Energy Resour. Technology, 132(4), p. 043101. [CrossRef]
Patil, A. P., Teodoriu, C., 2013, “Model Development of Torsional Drillstring and Investigating Parametrically the Stick Slips Influencing Factors,” ASME J. Energy Resour. Technol., 135(1), p. 013103. [CrossRef]
Samuel, R., 2013, “Modeling and Analysis of Drillstring Vibration in Riserless Environment,” ASME J. Energy Resour. Technol., 135(1), p. 013101. [CrossRef]
Tikhonov, V. S., and Safronov, A. I., 2011, “Analysis of Postbuckling Drillstring Vibrations in Rotary Drilling of Extended Reach Wells,” ASME J. Energy Resour. Technol., 133(1), p. 043102. [CrossRef]
Hall, R. W., Jr., Garkasi, A., Deskins, G., and Vozniak, J., 1994, “Recent Advances in Casing Wear Technology,” Presented at the IADC/SPE Drilling Conference, Dallas, TX, Feb. 16–18, Paper No. IADC/SPE 27532.
Hall, R. W., Jr., and Malloy, K. P., Sr., 2005, “Contact Pressure Threshold: An Important New Aspect of Casing Wear,” Presented at the SPE Production and Operations Symposium, Oklahoma City, OK, Apr. 17–19, Paper No. SPE 94300.
Zhang, L., and Fan, J., 2005, “On the Casing Wear Mechanism in Deep and Ultra-Deep Well Drilling,” Presented at the World Tribology Congress III, Washington, DC, Sept. 12–16, Paper No. WTC2005-64064, Vol. 1, pp. 887–888.
Williamson, J. S., and Bolton, J., 1984, “Performance of Drill String Hardfacings,” ASME J. Energy Resour. Technol., 106(2), pp. 278–281. [CrossRef]
Fan, J., Chen, Q., and Zhang, L., 2008, “The Design and Application of a New Type of Instrument for Testing the Worn Surface of Casing Wear,” Presented at the STLE/ASME International Joint Tribology Conference, Miami, FL, Oct. 20–22, Paper No. IJTC2008-71258, pp. 511–512.
Chu, S., Fan, J., and Zhang, L., 2008, “Influence of the Weighting Material on Casing Wear in Impact-Sliding Test Conditions,” Presented at the STLE/ASME International Joint Tribology Conference, Miami, FL, Oct. 20–22, Paper No. IJTC2008-71273, pp. 735–737.
Samuel, R., and Liu, X., 2009, “Wellbore Tortuosity, Torsion, Drilling Indices, and Energy: What do They have to do with Well Path Design?” Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, LA, Oct. 4–7, Paper No. SPE 124710.
Samuel, R., 2007, Downhole Drilling Tools-Theory and Practice for Students and Engineers, Gulf Publishing, Houston, TX.
White, J. P., and Rapier, D., 1987, “Casing Wear: Laboratory Tests and Field Predictions,” SPEDE, 2(1), pp. 56–62. [CrossRef]


Grahic Jump Location
Fig. 1

Casing wear at dogleg

Grahic Jump Location
Fig. 2

Cross-section of crescent-shaped wear groove

Grahic Jump Location
Fig. 3

Well profile generated from survey data

Grahic Jump Location
Fig. 4

Wear volume using the curvature model

Grahic Jump Location
Fig. 5

Wear-groove depth—50 most severe sections for casing wear

Grahic Jump Location
Fig. 6

Curvature and torsion models along the curved section of the well

Grahic Jump Location
Fig. 8

Constant-toolface trajectory torsion model

Grahic Jump Location
Fig. 9

Natural-curve trajectory torsion model

Grahic Jump Location
Fig. 10

Cylindrical-helix trajectory torsion model

Grahic Jump Location
Fig. 11

Variation with rotational speed of drill string

Grahic Jump Location
Fig. 12

Variation with wear factor

Grahic Jump Location
Fig. 13

Variation with total rotating time




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In