1. Inverse Crimes d=Lm m=L-1 d Red Sea Synthetics
From Chapter 1: Inverse problems: an introduction

2. Inverse Crime Definition
Inverse Crime: Employing the same
modeling algorithm d=Lm to generate &
invert m=L-1 d the synthetic data.
Avoiding Inverse Crimes: Generate synthetic data Lm by a forward solver that has no connection to inverse solver m=L-1 d=L-1 Ld.
 unreallistically optimistic results.
Example 1: Field data inversion.
Example 2: Elastic model vs acoustic inverse.
Example 3: Different discretizations

3. Inverse Crime Questions
1. What does the term „no connection“ mean?
2. What kind of reconstructions of the unknown parameters can one obtain when there is „no connection“ between the forward and inverse solvers?
m=L-1 d=L-1 Ld
3. Are inverse crime inversions always trivial?
4. Should the inverse crime always be avoided?

4. Waveform Tomograms Initial model 5 Hz 10 Hz 20 Hz 0 km 6 km 0 km 20 km
6 km/s
Initial model
6 km
3 km/s
0 km
20 km
0 km
5 Hz
6 km/s
6 km
3 km/s
0 km
6 km/s
10 Hz
6 km
3 km/s
0 km
6 km/s
20 Hz
6 km
3 km/s

5. Waveform Tomograms Initial model 5 Hz 10 Hz 20 Hz 0 km 6 km 0 km 20 km
6 km/s
Initial model
6 km
3 km/s
0 km
20 km
0 km
5 Hz
6 km/s
6 km
3 km/s
0 km
6 km/s
10 Hz
6 km
3 km/s
0 km
6 km/s
20 Hz
6 km
3 km/s

6. Traveltime Tomogram Depth (km) 3000 2.5 Velocity (m/s)
Depth (km)
3000
2.5
Velocity (m/s)
Waveform Tomogram
1500
Depth (km)
2.5
X (km) 20 20

7. Vertical Derivative of Waveform Tomogram
3000
Waveform Tomogram
Velocity (m/s)
Depth (km)
1500
2.5
Vertical Derivative of Waveform Tomogram
Depth (km)
2.5
X (km) 20 21

8. Kirchhoff Migration Images