A New Ray Tracing Method Based on Linear Travel-Time Interpolation

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Abstract:

In the application of industrial flaw detection, the materials to be detected are often a collection of a background area and a small amount of defect areas. In traditional linear travel-time interpolation (LTI) method, the assumption of travel-time linearity will lead to error accumulation when the rays go through multiple cells. In order to reduce the cumulative error in this application, a new ray tracing method is proposed based on linear travel-time interpolation. In our method, calculation points are located on the boundaries between different areas to determine the angle of refraction. Moreover, the minimum travel-time of each point is computed by multidirectional loop strategy, which will make the traced ray path conforms to the condition of minimum travel-time when ray transports from the reverse direction. The simulation results show that using the proposed method to calculate travel-times and paths of tracing rays, it is more rapid and accurate than traditional LTI method and cross-scanning LTI method.

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845-851

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March 2015

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] H.D. Liang, M. Halliwell, P.N. Wells: Continuous wave ultrasonic tomography, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 48 (2001) 285-292.

DOI: 10.1109/58.896141

Google Scholar

[2] G. Bernasconi, G. Drufuca: 3-D traveltimes and amplitudes by gridded rays, Geophys. 66 (2001) 277-282.

DOI: 10.1190/1.1444906

Google Scholar

[3] T. Watanabe, K. Sassa: Seismic attenuation tomography and its application to rock mass evaluation, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 33 (1996) 467-477.

DOI: 10.1016/0148-9062(96)00005-8

Google Scholar

[4] D. Cores, G.M. Fung, R.J. Michelena: A fast and global two point low storage optimization technique for tracing rays in 2D and 3D isotropic media, J. Appl. Geophys. 45 (2000) 273-287.

DOI: 10.1016/s0926-9851(00)00034-3

Google Scholar

[5] F. Lingvall: A method of improving overall resolution in ultrasonic array imaging using spatio-temporal decon volution, Ultrasonics, 42 (2004) 961-968.

DOI: 10.1016/j.ultras.2003.12.016

Google Scholar

[6] H. Gemmeke, N. V. Ruiter: 3D ultrasound computer tomo graphy for medical imaging, Nucl. Instrum. Methods Phys. Res. A, 580 (2007) 1057-1065.

Google Scholar

[7] E. Asakawa, T. Kawanaka: Seismic ray tracing using linear traveltime interpolation, Geophys. Prospect. 41 (1993) 99-111.

DOI: 10.1111/j.1365-2478.1993.tb00567.x

Google Scholar

[8] J.Z. Zhang, S.J. Chen: Numerical modeling of seismic first break in complex media, Chin. J. Comput. Phys. 20 (2003) 429-433.

Google Scholar

[9] F.X. Han, J.G. Sun, Z.Q. Sun: Positioning of grid point in wavefront construction, Appl. Geophys. 6 (2009) 248-258.

Google Scholar

[10] J. X. Nie, H. Z. Yang: Quadratic/linear travel time interpolation of seismic ray tracing, J. Tsinghua Univ. (Sci. & Technol. ) 43 (2003) 1495-1498.

Google Scholar

[11] D. Zhang, B.L. Xie, Y. Yang, X.R. Fu, Q.Q. Qin: A ray tracing method based on improved linear traveltime interpolation, Chin. J. Geophys. 52 (2009) 200-205.

Google Scholar

[12] P. Ye, Q.C. Li: Improvements of linear traveltime interpolation ray tracing for the accuracy and efficiency, J. Jilin Univ. (Earth Sci. Edition), 43 (2013) 291-298.

Google Scholar

[13] H.Q. Wang, T. Kawanaka: An improved method of linear traveltime interpolation ray tracing algorithm, Acta Phys. Pol. A, 118 (2010) 521-526.

DOI: 10.12693/aphyspola.118.521

Google Scholar