Mathematical models
Three thin layers model
Model consists of three thin layers. The velocity is 3 km/s in the media and 4 km/s in the layers.
![](http://rthtech.com/wp-content/uploads/2020/09/mod1.png)
Figure 1: Three thin layers model
![](http://rthtech.com/wp-content/uploads/2020/09/mod2.png)
![](http://rthtech.com/wp-content/uploads/2020/09/mod3.png)
Figure 2: RTH Depth Migration Reflection (a) and Diffraction(b).
![](http://rthtech.com/wp-content/uploads/2020/09/mod4.png)
Figure 3: Thin slanted layers
![](http://rthtech.com/wp-content/uploads/2020/09/mod5.png)
Figure 4: RTH Depth Migration Reflection
![](http://rthtech.com/wp-content/uploads/2020/09/mod6.png)
Figure 5: RTH Depth Migration Reflection. Only sloped layers detected
More detail:
Erokhin G., Pestov L., Danilin A., Kozlov M., and Ponomarenko D., 2017,
Interconnected vector pairs image conditions: New possibilities for visualization of acoustical media, 2017, SEG Technical Program Expanded Abstracts 2017: 4624-4629., https://doi.org/10.1190/segam2017-17587902.1
Two layers model
The velocity is 3 km/s in the upper media and 4 km/s in the down media.
![](http://rthtech.com/wp-content/uploads/2020/09/mod7.png)
Figure 1: Two layers model
![](http://rthtech.com/wp-content/uploads/2020/09/mod8.png)
Figure 2: RTH Depth Migration Reflection
![](http://rthtech.com/wp-content/uploads/2020/09/mod9.png)
Figure 3: RTH Depth Migration Diffraction
![](http://rthtech.com/wp-content/uploads/2020/09/mod10.png)
Figure 4: RTH Prism wave
Hard and soft diifractors model
The left diffractor has reduced velocity by 0.1 km/s w.r.t. background velocity 3.0 km/s , the right one has increased velocity by 0.1 km/s
![](http://rthtech.com/wp-content/uploads/2020/09/mod11.png)
Figure 1 : Model of “soft” and “hard” diffractors
![](http://rthtech.com/wp-content/uploads/2020/09/mod12.png)
![](http://rthtech.com/wp-content/uploads/2020/09/mod13.png)
![](http://rthtech.com/wp-content/uploads/2020/09/mod14.png)
![](http://rthtech.com/wp-content/uploads/2020/09/mod15.png)
Figure 2 : RTH Depth Migration soft diffractor filter (a), hard diffractor filter (b), soft & hard diffractor filter (c), RTH Dip Angle Variance (d).
More detail:
Erokhin G., Pestov L., Danilin A., Kozlov M., and Ponomarenko D., 2017,
Interconnected vector pairs image conditions: New possibilities for visualization of acoustical media, 2017, SEG Technical Program Expanded Abstracts 2017: 4624-4629., https://doi.org/10.1190/segam2017-17587902.1
Marmousei2 model.
![](http://rthtech.com/wp-content/uploads/2020/09/mos1.png)
Figure 1: Marmousei2 model
![](http://rthtech.com/wp-content/uploads/2020/09/mos2-1024x395.png)
Figure 2: Conventional RTM
![](http://rthtech.com/wp-content/uploads/2020/09/mos3-1024x502.png)
Figure 3: RTH Depth migration
![](http://rthtech.com/wp-content/uploads/2020/09/mos4.png)
Figure 4: RTH Dip Angle Variance (part)
Gradient velocity model
![](http://rthtech.com/wp-content/uploads/2020/09/mos5.png)
Figure 1: The gradient initial velocity model
![](http://rthtech.com/wp-content/uploads/2020/09/mos6.png)
Figure 2: The true velocity (a), RTH velocity (b)
![](http://rthtech.com/wp-content/uploads/2020/09/mos7.png)
Figure 3: The true velocity profile (c), RTH velocity (d)