FAST TRACK PAPER: The exact solution of the time-harmonic wave equation for a linear velocity profile

Details FAST TRACK PAPER: The exact solution of the time-harmonic wave equation for a linear velocity profile FAST TRACK PAPER: The exact solution of the time-harmonic wave equation for a linear velocity profile

Nov 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006geoji.167..659k&link_type=abstract

Geophysical Journal International, Volume 167, Issue 2, pp. 659-662.

Astronomy and Astrophysics

Astronomy

1

Exploration Seismology, Seismic Modelling, Synthetic Seismograms, Wave Propagation

Scientific paper

We present the exact solution of the acoustic wave equation in the frequency domain in two space dimensions for a velocity that increases linearly with depth and a density that is a power law in depth. The geometric properties of the solution are described by the bipolar coordinate system. The asymptotic behaviour for large frequencies matches the result obtained by ray theory. The 3-D solution was already known.

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