Skip to main content
Log in

Three-dimensional nonlinear analysis of drill string structure in annulus

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Three-dimensional nonlinear analysis of drill string structure in annulus of curved wellbore is done by using the theory of finite element and Newton-Raphson method. According to the characteristics of its deformation, a method of the description and computation of taking different forms of elements for different parameters is advanced. The penalty function method is applied for finding the unknown boundary. The nonlinear effects of curvature of wellbore on the side forces on bit are shown by the computation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Liu Yan-qiang, et al., Numerical simulation computation of three-dimensional wellbore axis,J. of The University of Petroleum,14, 3 (1990) (in Chinese)

    Google Scholar 

  2. Sinton, S. and D. R. J. Irwin,The Program Design in Finite Element Method, Beijing, Newtimes Press, May, 1982. (Chinese version)

    Google Scholar 

  3. Liu Xi-sheng, et al.,Principle of Drilling Technology, Beijing, Petroleum Industry Press, Aug., 1985. (in Chinese)

    Google Scholar 

  4. Shuai Ji-an, et al., Finite element analysis of BHA in a curved directional well,J. of Petroleum,11, 4 (1990). (in Chinese)

    Google Scholar 

  5. Pesalimco, G. C. et al.,Manual of Material Mechanics, Shijiazhuang, Hebei People’s Press, Feb. (1981). (Chinese version)

    Google Scholar 

  6. Liu Yan-qiang, et al., Effect of wellbore deformation and friction force on bottom-hole assembly,J. of The University of Petrolum,15, 1 (1991). (in Chinese)

    Google Scholar 

  7. Liu Yan-qiang, et al., Application of penalty function method to the treating boundary problem of drill string,J. of The University of Petrolum,17, 2 (1993). (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chien Wei-zang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yan-qiang, L., Ying-min, L. Three-dimensional nonlinear analysis of drill string structure in annulus. Appl Math Mech 15, 275–290 (1994). https://doi.org/10.1007/BF02451063

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451063

Key words

Navigation