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- W2010478510 abstract "Abstract In this paper, the buckling equation and natural boundary conditions are derived with the aid of calculus of variations. The natural and geometric boundary conditions are used to determine the proper solution that represents the post-buckling configuration. Effects of friction and boundary conditions on the critical load of helical buckling are investigated. Theoretical results show that the effect of boundary conditions on helical buckling becomes negligible for a long pipe with dimensionless length greater than 5p. Velocity analysis shows that lateral velocity approaches infinity and lateral friction becomes dominant at the instant of buckling initiation. Thus, friction can significantly increase the critical load of helical buckling. However, once buckling is initiated, axial velocity becomes dominant again, and lateral friction becomes negligible for post-buckling behavior and axial load transfer analysis. Consequently, it is possible to seek an analytical solution for the buckling equation. To verify the proposed model and analytical results, the authors also conducted experimental studies. Experimental results support the proposed solutions. Introduction It is well known that when a pipe is subjected to an axial compressive load, the pipe will shorten due to axial compression. As the axial load increases, the pipe may change from a straight configuration to a sinusoidal wave-like or helical shape. These three different configurations are all static equilibrium states of a pipe subjected to axial compressive load. However, for a given axial load, only one configuration is stable. The critical load beyond which a pipe will change its configuration from a straight line into a sinusoidal wave-like shape is called the critical load for sinusoidal buckling. The critical load beyond which a pipe will change its configuration from a sinusoidal into a helical shape is called the critical load for helical buckling. One important issue of buckling analysis is to determine the critical load beyond which a pipe will change its configuration from one form to another. Another important issue is to obtain a solution that represents the post-buckling configuration when the axial load is greater than the critical load. Many researchers have been involved in the stability and post buckling analysis of tubing and drill pipe in vertical wells (A. Lubinski 1950, 1962, R.F. Mitchell, 1986, 2002), inclined wells (P.R. Paslay and D.B. Bogy, 1964, R. Dawson and P.R. Paslay, 1984, G. Gao, 1996, S. Miska et al, 1995, 1996, R.F. Mitchell, 1988, 1997), horizontal wells (Y. Chen, et al., 1990, G. Gao, 1996, G. Gao and S. Miska, 2008, S. Miska, et al, 1996, R.F. Mitchell, 2002, J. Wu and H. C. Juvkam-Wold, 1993(a), 1993(b)). Researches have also studied curved wells (G. Gao, 1996, X. He and A. Kyllingstad, 1993, W. Qiu, et al, 1998, R.F. Mitchell, 1999, 2006(a)), and tubing and pipe subjected to different kinds of loads including axial compressive load, torque (J.C. Cunha, 1995, G. Gao, 1996, S. Miska and J.C. Cunha, 1995, J. Wu, 1997), and axial frictional drag (G. Gao, 1996, X. He and A. Kyllingstad, 1993, S. Miska et al, 1996, R.F. Mitchell, 1986, 1995, 1996, J. Wu, H. C. Juvkam-Wold, 1993). The concept of helical buckling and the determination of the helical configuration of a buckled pipe proposed by A. Lubinski (1962) is one of the greatest break-through in modeling post-buckling of pipe constrained in a wellbore." @default.
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- W2010478510 date "2009-04-04" @default.
- W2010478510 modified "2023-10-16" @default.
- W2010478510 title "Effects of Friction on Post Buckling Behavior and Axial Load Transferring of Pipe in a Horizontal Well" @default.
- W2010478510 doi "https://doi.org/10.2118/120084-ms" @default.
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