Rayleigh wave scattering from surface features: wedges and down-steps

Abstract The development of a Rayleigh wave based method of sizing surface defects has been hampered by the lack of a theory to describe the scattering problem. A new mixed finite element-finite difference model, which provides accurate and stable numerical solutions for faceted scattering geometries, has been developed. This paper presents an outline of the model and details of the interaction of Rayleigh waves with wedges and angled down-steps. Numerical visualizations, seismograms and spectral Rayleigh wave-scattering coefficients provide a detailed description of the scattering processes.

[1]  A. Ilan,et al.  Stability of finite difference schemes for the problem of elastic wave propagation in a quarter plane , 1978 .

[2]  B. Khuri-Yakub,et al.  Acoustic Surface Wave Measurements of Surface Cracks in Ceramics , 1980 .

[3]  G. W. Farnell,et al.  Transmission and reflection of Rayleigh wave through a step , 1977, Bulletin of the Seismological Society of America.

[4]  A. Gautesen.  Scattering of a Rayleigh wave by an elastic wedge , 1987 .

[5]  G. W. Farnell,et al.  Acoustic surface‐wave scattering on a homogeneous three‐quarter space , 1973 .

[6]  G. W. Farnell,et al.  Finite Difference Analysis of Rayleigh Wave Scattering at Vertical Discontinuities , 1973 .

[7]  E. Rivier,et al.  Influence of Elastic Properties on Rayleigh Wave Scattering by Normal Discontinuities , 1977, IEEE Transactions on Sonics and Ultrasonics.

[8]  Masahiko Hirao,et al.  Scattering of Rayleigh surface waves by edge cracks: Numerical simulation and experiment , 1982 .

[9]  Z. Alterman,et al.  Computer Generated Seismograms , 1972 .

[10]  G. Strang,et al.  An Analysis of the Finite Element Method , 1974 .

[11]  Y. Okano,et al.  Rayleigh wave scattering at various wedge corners , 1984 .

[12]  A. Gautesen.  Scattering of a Rayleigh Wave by an Elastic Quarter Space , 1985 .

[13]  Seismic waves in a wedge , 1975, Bulletin of the Seismological Society of America.

[14]  RAYLEIGH WAVE SCATTERING BY A WEDGE: A BOUNDARY METHOD APPROACH , 1986 .

[15]  G. A. Georgiou,et al.  Quantitative studies in ultrasonic wave-defect interaction , 1987 .

[16]  K. Graff.  Wave Motion in Elastic Solids , 1975 .

[17]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[18]  T. Momoi.  SCATTERING OF RAYLEIGH WAVES IN AN ELASTIC QUARTER SPACE , 1980 .

[20]  Masahiko Fuyuki,et al.  Finite difference analysis of Rayleigh wave scattering at a trench , 1980 .

[21]  M. Nakano,et al.  Theoretical investigation of scattering phenomena inside wedge caused by incidence of Rayleigh wave , 1984 .

[22]  T. Momoi.  SCATTERING OF RAYLEIGH WAVES IN AN ELASTIC THREE-QUARTER SPACE , 1985 .

[23]  Leonard J. Bond,et al.  A computer model of the interaction of acoustic surface waves with discontinuities , 1979 .

[25]  J. Achenbach,et al.  Ray Analysis of Surface-Wave Interaction with an Edge Crack , 1980, IEEE Transactions on Sonics and Ultrasonics.