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Table 4 Regression of magnitude (MS/M) and vertical displacement (MVD/MD) for the Rahmiye and Ören faults

From: Seismic history of western Anatolia during the last 16 kyr determined by cosmogenic 36Cl dating

Sin (θ) = vertical displacement /Slip

Event

Rahmiye fault (θ = 64°)

Event

Ören fault (θ = 58°)

Slip* (m)

MVD (m)

Ms

Slip* (m)

MVD (m)

Ms

Pavlides and Caputo (2004)

Ms = 0.59 × Log (MVD) + 6.75 (Eq. 5)

 

Lowest Χ2

Average

Average

 

Lowest Χ2

Average

Average

1

2.0 ± 0.3

1.8 ± 0.2

6.9

1

3.4 ± 0.5

2.9 ± 0.4

7.0

2

0.9 ± 0.1

0.8 ± 0.1

6.7

2

4.2 ± 0.6

3.6 ± 0.5

7.0

3

2.3 ± 0.3

2.0 ± 0.3

6.9

3

3.3 ± 0.5

3.0 ± 0.4

7.0

4

1.8 ± 0.3

1.5 ± 0.2

6.9

 

Event

MD (= Slip*) (m)

M

Event

MD (= Slip*) (m)

M

Wells and Coppersmith (1994)

M = 6.61 + 0.71 × log (MD) (Eq. 6)

 

Lowest Χ2

Average

 

Lowest Χ2

Average

1

2.0 ± 0.3

6.8

1

3.4 ± 0.5

7.0

2

4.2 ± 0.6

7.1

2

0.9 ± 0.1

6.6

3

2.3 ± 0.3

6.9

3

3.3 ± 0.5

7.0

4

1.8 ± 0.3

6.8

  1. The unit of slip, MVD and MD is in meters
  2. Slip or MD (maximum displacement) is converted to MVD (maximum vertical displacement) by applying fault surface dip (sin (θ) = maximum vertical displacement/slip)
  3. *Modeled by the code