2D elastic modeling
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.
In the elastic case four different representations for the modelling results are given. From left to right pressure, shear, horizontal and vertical displacement amplitude are given.
enlarged animation (~ 2.3 MB)
Model parameters
| nx | 225 |
| nz | 125 |
| delta_x | 10 m |
| delta_z | 10 m |
| delta_t | 40 ms |
| t_max | 0.96 s |
| f_max | 50 Hz |
| vp_1 | 2000 m/s |
| vs_1 | 1155 m/s |
| rho_1 | 2000 kg/m^3 |
| vp_2 | 4000 m/s |
| vs_2 | 2310 m/s |
| rho_2 | 3000 kg/m^3 |
The source is of explosive type with a Gaussian spatial distribution which only generates P-waves. At the interface waves are partly reflected and partly transmitted into the lower layer. At this interface mode conversion from P- to S-waves take place. Note the diffracted energy from the corners of the step in the snapshots. These diffractions can also be seen in the later part of the seismogram. The event at the far right side at late times is due to a headwave.
Reference:
Kosloff, D., Filho, A.Q., Tessmer, E., Behle, A., 1989,
Numerical Solution of the Acoustic and Elastic Wave Equations by a New Rapid Expansion Method,
Geophys. Prospecting, Vol. 37, 383 - 394.







