12.520 Lecture Notes 16 Interseismic: Slip below depth D

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12.520 Lecture Notes 16

Dislocation in Elastic Halfspace Model of the Earthquake Cycle

Interseismic: Slip below depth D

� xy

-3

X/D

0

Strain

3

-15 -10 -5

5 10 15

X/D y

Displacement

Figure 16.1

Figure by MIT OCW.

Coseismic: Region above D “catches up”

� xy

-3 0

X/D

Figure 16.2

Figure by MIT OCW.

-15 -10 -5

5 10 15

X/D y

3

Displacements from Earthquakes, Fault Slip, etc

Consider a strike-slip fault with displacement S, independent of depth – A screw

“dislocation” – i.e., a slip discontinuity. Original ring (dashed) becomes helix (solid).

1

2

Fault displacement S

D x

3

S/2

S/2

Sur face faul t

Dis loc atio axi s n x

2 x

1

Figure 16.3. Section across a mathematical model of a transcurrent fault.

Figure by MIT OCW.

“Dislocations” are used to describe defects in crystals, as well as fault motions. A crystal disrupted by a screw dislocation is shown in the figure below.

6

5

7

4

8

3 2

9

10

1 b *

Types:

Figure by MIT OCW.

Figure 16.4. A screw dislocation in a cubic lattice constitutes a deformation that is out of the plane of atoms illustrated. The two atoms denotes by solid circles are essentially part of a second plane. The Burgers circuit indicated by the numbered steps naturally moves into this second plane. Therefore in order to close the circuit the Burgers vector b* must be perpendicular to the plane of atoms shown.

Edge

Screw

Figure 16.5

Figure by MIT OCW.

10 b *

9

8

1

10

9

8

1 2

7

2

7

6

3

6

3

4

5

4

5

Figure 16.6 Side view of an edge dislocation in a cubic lattice.

Figure by MIT OCW.

Dislocation motion helps crystals deform (don’t all have to slip at one time). Also helps

Earth deform!

C

D

E

S

A

Figure 16.7 A dislocation.

Figure by MIT OCW.

B

E

C b

B

A

E

C

A

B

E

E b

S

S

S S

Figure 16.8 Upper group: Slip by propagation of an edge dislocation EE. Lower group: Slip by propagation of a screw dislocation SS.

Figure by MIT OCW.

2

1

0

0 2 4 6

Distance from fault (km) NE

8 10

Figure 16.9 Displacement as a function of distance from a transcurrent fault.

Figure by MIT OCW.

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