University of Hamburg Geophysics Pictures ZMAW Institut für Geophysik
   UHH
Deutsch
English






Bei Problemen mit unserer Webseite wenden Sie sich bitte an


ZMK



   
 

Elastic 2D modelling including the free surface



This is an example of a 2-dimensional numerical elastic simulation. The table shows the modelling parameters. The animation shows the seismogram section (bottom) and a series of snapshots (top) at times delta_t apart. The snapshots are displayed together with the step-like subsurface structure. The seismogram section grows with time according to the time of the displayed snapshot.

Here three different representations for the modelling results are given. From left to right horizontal and vertical particle velocity and pressure amplitudes are given.
 




enlarged animation (~ 2.4 MB)

Model parameters

nx 225
nz 81
delta_x 10 m
delta_z 10 m
delta_t 50 ms
t_max 1.5 s
f_max 50 Hz
vp_1 1500 m/s
vs_1 1000 m/s
rho_1 1500 kg/m^3
vp_2 3000 m/s
vs_2 2000 m/s
rho_2 2000 kg/m^3

The source is a vertical point force at a depth of 10 gridpoints which generates P- and S-waves. At the surface Rayleigh-waves are generated. A box-like near (light green) surface inhomogeneity (higher velocities) produces diffracted body waves at its corners. It also patriallly reflects the surface wave which then travels in the opposite direction. The near surface inhomogeity partially traps the surface wave. This can also be seen in the seismograms.

Reference:
Kosloff, D., Kessler, D., Filho, A.Q., Tessmer, E., Behle, A., Strahilevitz, R., 1990,
Solution of the equations of dynamic elasticity by a Chebyshev spectral method,
Geophysics, 55, 734-748.