The reflection of the fundamental torsional guided wave from multiple circular holes in pipes

Abstract Localised corrosion is a major concern in the petrochemical industry, and often occurs as clusters of pits. A study of the reflection from two and three small circular holes in pipes with the fundamental torsional guided wave incident is presented. FE analyses with both part and through thickness holes at different relative positions are presented, and are a step towards estimation of the scattering behaviour of multiple and random defects. The validity of employing the superposition technique in estimating reflection coefficients is assessed. Results show that the reflection coefficient for the T (0,1) mode is dependent on absolute frequency and axial separation, and independent of circumferential position. Employing superposition is found to be valid down to defect centre to centre separation distances of two diameters in the worst case, with improved validity with shallower defects. Results from the FE analyses are validated experimentally.

[1]  Ying,et al.  Scattering of antiplane shear waves by a circular cylinder in a traction-free plate , 2000, The Journal of the Acoustical Society of America.

[2]  M. Lowe,et al.  The Mode Conversion of a Guided Wave by a Part-Circumferential Notch in a Pipe , 1998 .

[3]  M. Lowe,et al.  Reflection of the s0 Lamb mode from a flat bottom circular hole , 2005 .

[4]  A. L. Horovistiz,et al.  An image processing method for morphology characterization and pitting corrosion evaluation , 2002 .

[5]  A. G. Roosenbrand,et al.  The variation of the reflection coefficient of extensional guided waves in pipes from defects as a function of defect depth, axial extent, circumferential extent and frequency , 2002 .

[6]  M. Lowe,et al.  Scattering of the fundamental shear horizontal guided wave by a part-thickness crack in an isotropic plate. , 2008, The Journal of the Acoustical Society of America.

[7]  A. G. Roosenbrand,et al.  The reflection of the fundamental torsional mode from cracks and notches in pipes. , 2003, The Journal of the Acoustical Society of America.

[8]  Peter Cawley,et al.  Practical long range guided wave testing: applications to pipes and rails , 2003 .

[9]  Khlefa A. Esaklul,et al.  Materials Design Strategy: Effects of H2S/CO2 Corrosion on Materials Selection , 2006 .

[10]  Peter Cawley,et al.  THE REFLECTION OF GUIDED WAVES FROM NOTCHES IN PIPES: A GUIDE FOR INTERPRETING CORROSION MEASUREMENTS , 2004 .

[11]  R. Revie,et al.  Model to Predict Internal Pitting Corrosion of Oil and Gas Pipelines , 2010 .

[12]  Frank J. Rizzo,et al.  Elastic scatterer interaction via generalized Born series and far-field approximations , 1993 .

[13]  T. Grahn Lamb wave scattering from a circular partly through-thickness hole in a plate , 2003 .

[14]  G. Kino Acoustic waves : devices, imaging, and analog signal processing , 1987 .

[15]  Eytan Domany,et al.  Multiple scattering formalism: Application to scattering by two spheres , 1984 .

[16]  Brahmeshwar Mishra,et al.  Weld features that differentiate weld and plate corrosion , 2003 .

[17]  M. Lowe,et al.  The Reflection of Guided Waves From Circumferential Notches in Pipes , 1998 .

[18]  P Cawley,et al.  Low-frequency pulse echo reflection of the fundamental shear horizontal mode from part-thickness elliptical defects in plates. , 2010, The Journal of the Acoustical Society of America.

[19]  M. Silk,et al.  The propagation in metal tubing of ultrasonic wave modes equivalent to Lamb waves , 1979 .

[20]  P. Wilcox,et al.  The effect of dispersion on long range inspection using ultrasonic guided waves , 2001 .

[21]  P. Cawley,et al.  The interaction of Lamb waves with defects , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[22]  Jon Kvarekval Morphology Of Localised Corrosion Attacks In Sour Environments , 2007 .

[23]  M. Lowe,et al.  Low-frequency reflection characteristics of the s0 lamb wave from a rectangular notch in a plate. , 2002, The Journal of the Acoustical Society of America.

[24]  P. Cawley,et al.  The use of Lamb waves for the long range inspection of large structures , 1996 .

[25]  J. Rose,et al.  Phased array focusing with guided waves in a viscoelastic coated hollow cylinder. , 2007, The Journal of the Acoustical Society of America.

[26]  Arne Dugstad,et al.  Corrosion Loop Studies of Preferential Weld Corrosion and Its Inhibition in CO2 Environments , 2005 .

[27]  M. Lowe,et al.  Scattering of the fundamental shear horizontal mode from steps and notches in plates. , 2003, The Journal of the Acoustical Society of America.

[28]  Rolf Nyborg Initiation and Growth of Mesa Corrosion Attack During CO2 Corrosion of Carbon Steel , 1998 .

[29]  P. Wilcox,et al.  The effect of load on guided wave propagation. , 2007, Ultrasonics.

[30]  F. Cegla,et al.  Analytical prediction and experimental measurement for mode conversion and scattering of plate waves at non-symmetric circular blind holes in isotropic plates , 2008 .

[31]  P. J. Haagensen,et al.  LOCALISED CORROSION ON OFFSHORE TUBULAR STRUCTURES: INSPECTION AND REPAIR CRITERIA , 1989 .

[32]  Sung-Jin Song,et al.  Ultrasonic flaw sizing inverse problems , 2002 .

[33]  Eytan Domany,et al.  The Born approximation in the theory of the scattering of elastic waves by flaws , 1977 .

[34]  P. Cawley,et al.  The application of synthetic focusing for imaging crack-like defects in pipelines using guided waves , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[35]  P. Cawley,et al.  The low-frequency reflection and scattering of the S0 Lamb mode from a circular through-thickness hole in a plate: Finite Element, analytical and experimental studies. , 2002, The Journal of the Acoustical Society of America.

[36]  M J S Lowe,et al.  Scattering of the fundamental torsional mode at an axial crack in a pipe. , 2010, The Journal of the Acoustical Society of America.

[37]  P. Wilcox,et al.  Excitation and scattering of guided waves: relationships between solutions for plates and pipes. , 2009, The Journal of the Acoustical Society of America.

[38]  J. Rose,et al.  Natural beam focusing of non-axisymmetric guided waves in large-diameter pipes. , 2006, Ultrasonics.

[39]  Wenhao Zhu,et al.  An FEM Simulation for Guided Elastic Wave Generation and Reflection in Hollow Cylinders With Corrosion Defects , 2002 .

[40]  Takahiro Hayashi,et al.  Defect imaging with guided waves in a pipe. , 2005, The Journal of the Acoustical Society of America.

[41]  F. Livingstone,et al.  Review of progress in quantitative NDE: Williamsburg, VA, USA, 21–26 June 1987 , 1988 .

[42]  M. Lowe,et al.  Defect detection in pipes using guided waves , 1998 .

[43]  P Cawley,et al.  The scattering of the fundamental torsional mode from axi-symmetric defects with varying depth profile in pipes. , 2010, The Journal of the Acoustical Society of America.

[44]  M. Kermani,et al.  Carbon Dioxide Corrosion in Oil and Gas Production—A Compendium , 2003 .

[45]  M. Lowe,et al.  DISPERSE: A GENERAL PURPOSE PROGRAM FOR CREATING DISPERSION CURVES , 1997 .