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Viscoelastic -coupling model for the earthquake cycle driven from below. J.C. Savage U.S. Geological Survey, Menlo Park, CA. Ge 277, Thomas ADER, January 27, 2011. Savage (2000). Bourne et al. [1998]

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viscoelastic coupling model for the earthquake cycle driven from below

Viscoelastic-coupling model for the earthquake cycle driven from below

J.C. Savage

U.S. Geological Survey, Menlo Park, CA

Ge 277, Thomas ADER, January 27, 2011

slide2

Savage (2000)

  • Bourne et al. [1998]

“ The intersismic velocity profile across a transform fault at the surface would be a replica of a similar profile at the top of the upper mantle. ”

  • Savage [2000]
  • “ For a linear system, (…) interseismic deformation along such a profile (…) is determined by the parameters H and t0 and does not depend at all upon the velocity profile at the top of the upper mantle. ”

T, recurrence time

of earthquakes

Representation of the Bourne’s Model.

relaxation time

Savage (2000)

viscoelastic coupling model driven by the schizosphere stress guide
Viscoelastic-Coupling model driven by the Schizosphere stress guide

Surface velocity

time evolution

viscoelastic coupling model driven by the schizosphere stress guide1
Viscoelastic-Coupling model driven by the Schizosphere stress guide

Depth velocity

time evolution

viscoelastic coupling model driven by the schizosphere stress guide2
Viscoelastic-Coupling model driven by the Schizosphere stress guide

Stress

plastosphere -> schizosphere

time evolution

> 0

viscoelastic coupling model driven from below
Viscoelastic-Coupling model driven from below

Same problem as before with boundary condition locked at depth

+

driving solution that provides driving force.

Boundary condition locked at the top

viscoelastic coupling model driven from below1
Viscoelastic-Coupling model driven from below

Surface velocity

Same as before, but with boundary condition at y = H+D.

viscoelastic coupling model driven from below2
Viscoelastic-Coupling model driven from below

Stress at the bottom of the upper crust

viscoelastic coupling model driven from below3
Viscoelastic-Coupling model driven from below

Velocity in the lower crust

Driving solution:

viscoelastic coupling model driven from below4
Viscoelastic-Coupling model driven from below

Stress at the bottom of the upper crust

Driving solution:

conclusion
Conclusion
  • Surface displacement doesn’t depend on the displacement of the upper mantle
  • Surface displacement depends on the parameters H (thickness of the schizosphere) and t0
  • Model valid only where the Earth model is linear (superposition of solutions).