Title
Long-range static directional stress transfer in a cracked, nonlinear elastic crust
Abstract
Seeing the Earth crust as criss-crossed by faults filled with fluid at close to lithostatic pressures, we develop a model in which its elastic modulii are different in net tension versus compression. In constrast with standard nonlinear effects, this "threshold nonlinearity" is non-perturbative and occurs for infinitesimal perturbations around the lithostatic pressure taken as the reference. For a given earthquake source, such nonlinear elasticity is shown to (i) rotate, widen or narrow the different lobes of stress transfer, (ii) to modify the 1/r2 2D-decay of elastic stress Green functions into the generalized power law 1/rγ, where γ depends on the azimuth and on the amplitude of the modulii asymmetry. Using reasonable estimates, this implies an enhancement of the range of interaction between earthquakes by a factor up to 5-10, that is, stress perturbation of 0.1 bar or more are found up to distances of several tens of the rupture length. This may explain certain long-range earthquake triggering and hydrological anomalies in wells and suggest to revisit the standard stress transfer calculations which use linear elasticity. We also show that the standard double-couple of forces representing an earthquake source leads to an opening of the corresponding fault plane, which suggests a mechanism for the non-zero isotropic component of the seismic moment tensor observed for some events.
Year
DOI
Venue
2006
10.1016/j.future.2005.04.007
Future Generation Comp. Syst.
Keywords
Field
DocType
standard nonlinear effect,different lobe,nonlinear elastic crust,certain long-range earthquake,standard double-couple,elastic stress green function,long-range static directional stress,stress perturbation,earthquake source,stress transfer,elastic modulii,standard stress transfer calculation,linear elasticity,green function,power law,non perturbative
Compression (physics),Isotropy,Tensor,Overburden pressure,Computer science,Real-time computing,Mechanics,Linear elasticity,Elasticity (economics),Seismic moment,Power law
Journal
Volume
Issue
ISSN
22
4
Future Generation Computer Systems
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
G. Ouillon100.34
Didier Sornette223837.50