Coen suggested a technique for recovering the density and sound velocity profiles of a layered acoustic medium from point source response. We implement the method for computation, and investigate the behaviour of the algorithm in the reconstruction of layered acoustic media from synthetically generated noisy data. We find that the error magnification is unacceptably large, that is, the method is unstable for practical purposes. A statistical analysis explains the propagation of errors. We also discuss the validity and effects of data smoothing prior to reconstruction. Numerical examples illustrate various features of the theory. For the situation in which multiple plane wave data are available, we propose a systematic use of such a data set to reduce the error of the reconstruction, under the assumption that the data errors are uncorrelated in incidence angle. Numerical examples show the predicted improvement.
|Original language||English (US)|
|Number of pages||21|
|Journal||Geophysical Journal of the Royal Astronomical Society|
|State||Published - Apr 1985|