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A Kinematic Fault Network Model for Crustal Deformation (including seismicity of optimal locking depth, shallow surface creep and geological constraints) Yuehua Zeng and Zhengkang Shen. Elastic dislocation theory. Locked near the surface. Locking Depth. - PowerPoint PPT Presentation
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A Kinematic Fault Network Model for Crustal Deformation
(including seismicity of optimal locking depth, shallow surface creep and geological constraints)
Yuehua Zeng and Zhengkang Shen
Elastic dislocation theory
Locked near the surface.
Slip at constant ratebelow transition depth
LockingDepth
For a given slip distribution on all the faults, the ground deformation vector at any point is obtained by taking a spatial convolution of the static point source Green's function with the fault slip function:
where m is the shear modulus, ni is a unit vector normal to the fault, Duj is the j-th component of slip on the fault, and Gni is the Green's function calculated from receiver to source. x is a vector describing the receiver location and x is a vector describing the corresponding source point where the Green's function is calculated.
1) assuming fault segments slip at certain rates beneath a locking depth2) locking depths are defined by local seismicity depth distributions3) slip vector conservation imposed at fault nodes or intersections4) depth dependent aseismic creeps
)1(),(
)(),(
D d
xGutxu
j
nijin x
xxnm
GPS only
With geological constraints geological rates
Comparison of geodetic and seismicity locking depth
UCERF 3 Testing Block model
(with/without seismicity depth, shallow surface creep and geological constraints)
Fixed depth of 15 km, no creep, no geological constraints
Seismicity depth, no creep, no geological constraints
Seismicity depth, creep, geological constraints
Fixed depth of 15 km, no creep, no geological constraints
Seismicity depth, no creep, no geological constraints
Seismicity depth, creep, geological constraints
Fixed depth, no creep, and no geological constraints
Seismicity depth, no creep, and no geological constraints
Seismicity depth, creep, and geological constraints
Fixed depth of 15 km, no creep, no geological constraints
Seismicity depth, no creep, no geological constraints
Seismicity depth, creep, geological constraints
UCERF 2 Model and Its Comparison with the Testing Block model
(both with seismicity depth, shallow surface creep and geological constraints)