Browse > Article

Time Domain Acoustic Propagation Analysis Using 2-D Pseudo-spectral Modeling for Ocean Environment  

Kim Keesan (서울대학교 조선해양공학과)
Lee Keunhwa (서울대학교 조선해양공학과)
Seong Woojae (서울대학교 조선해양공학과)
Abstract
A computer code that is based on the Pseudo-spectral finite difference algorithm using staggered grid is developed for the wave propagation modeling in the time domain. The advantage of a finite difference approximation is that any geometrically complicated media can be modeled. Staggered grids are advantageous as it provides much more accuracy than using a regular grid. Pseudo-spectral methods are those that evaluate spatial derivatives by multiplying a wavenumber by the Fourier transform of a pressure wave-field and performing the inverse Fourier transform. This method is very stable and reduces memory and the number of computations. The synthetic results by this algorithm agree with the analytic solution in the infinite and half space. The time domain modeling was implemented in various models. such as half-space. Pekeris waveguide, and range dependent environment. The snapshots showing the total wave-field reveals the Propagation characteristic or the acoustic waves through the complex ocean environment.
Keywords
Wave equation; Pseudo-spectral method; Finite difference approximation; Staggered grid;
Citations & Related Records
연도 인용수 순위
  • Reference
1 B. E. McDonald and W. A. Kuperman, 'Time domain formulation for pulse propagation including nonlinear behavior at a caustic,' J. Acousl. Soc. Am. 81. 1406-1417, 1987   DOI
2 M. D. Collins, 'The time-domain solution of the wide angle parabolic equation including the effects of sediment dispersion,' J. Acousl. Soc. Am. 84. 2114-2125, 1988   DOI
3 Aki, K. and P. G. Richards, Quantitative seismology; the second edition, (Univ. Science Books, Sansalito, CA, 2002), Chap.6, 218-235
4 F. B. Jensen. W. A. Kuperman, M. B. Porter. and H. Schmidt, Computational Ocean Acoustics, (AlP Press, New York, 1994). Chap.8, 477-514
5 P. Gerstoft, CABRILLO 1.0 : Acoustic, elastic and poroelastic finite difference modeling. User's manual. U. C. S. D. Marine Physical Laboratory, La Jolla. USA, 2002
6 T. $\ddot{O}zdenvar$ and G. A. McMechan, 'Algorithms for staggered grid computations for poroelastic, elastic and acoustic, and scalar wave equations,' Geophysical Prospecting 45, 403-420, 1997   DOI   ScienceOn
7 M. B. Porter, 'The time-marcred fast-field program(FFP) for modeling acoustic pulse propagation,' J. Acoust. Soc. Am. 87, 2013-2083, 1990   DOI
8 T. $\ddot{O}zdenvar$ and G. A. McMechan, 'Causes and reduction of numerical artefacts in pseudo--spectral wavefield xtrapolation.' Geophys. J. Int. 126, 819--828, 199   DOI   ScienceOn
9 C. Cerjan, D. Koloff, R. Kosloff, and M. Reshef, 'A nonreflecting boundary condition for discrete acoustic and elastic wave equations,' Geophysics 50, 705-708, 1985   DOI
10 D. Kosloff and E. Baysal, 'Forward modeling by a Fourier method,' Geophysics 47, 1402-1412, 1980   DOI   ScienceOn
11 M. Reshef, D. Kosi off, M. Edwards, and C. Hsiung, 'Threedimensional acoustic modeling by the Fourier method,' Geophysics 53, 1184-1193, 1988   DOI   ScienceOn
12 J. E. Murphy, 'Finite-difference treatment of a time-domain parabolic equation: Theory,' .J. Acousl. Soc. Am. 77, 1958-1960. 1985   DOI