Seismic Rheological Model and Reflection Coefficients of the Brittle–Ductile Transition

Carcione, José M.; Poletto, Flávio

doi:10.1007/s00024-013-0643-4

Cited by 30 publications

(17 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The constitutive equation, including both the viscoelastic and ductile behavior, can be written as a generalization of the 1-D stress-strain relation reported by Dragoni (1990) and Dragoni and Pondrelli (1991) to the 3-D anelastic case, replacing the Maxwell model by the Burgers model (Carcione et al, 2006;Carcione, 2007;Carcione and Poletto, 2013).…”

Section: The Burgers Mechanical Modelmentioning

confidence: 99%

“…(e.g., Gangi, 1983;Carcione et al, 2006;Carcione and Poletto, 2013), where A and n are constants, E is the activation energy, R = 8.3144 J mol −1 K −1 is the gas constant and T is the absolute temperature. The form of the empirical relation (Eq.…”

Section: The Burgers Mechanical Modelmentioning

confidence: 99%

“…The temperature dependence is expressed by the Arrhenius steadystate power law, e.g., Eq. (15) in Carcione and Poletto (2013). We use realistic Arrhenius constants A = 10 30 MPa −n s −1 , n = 3.5 and activation energy E = 990 kJ/mol for the rheology of the Icelandic crust (Violay et al, 2010(Violay et al, , 2012.…”

Section: Examplesmentioning

confidence: 99%

“…Then, if σ o is lower than the elastic limit, the material follows a viscoelastic stress-strain relation. If σ o exceeds this limit, steady-state flow and failure occurs (Carcione and Poletto, 2013).…”

mentioning

confidence: 99%

“…The viscoelastic creep of salt has been described with a Burgers model by Carcione et al (2006). Carcione and Poletto (2013) used the Burgers model to describe the BDT transition, including the presence of anisotropy and seismic attenuation. The Burgers model is shown in Fig.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Simulation of seismic waves at the earth's crust (brittle–ductile transition) based on the Burgers model

et al. 2014

View full text Add to dashboard Cite

Abstract. The earth's crust presents two dissimilar rheological behaviors depending on the in situ stress-temperature conditions. The upper, cooler part is brittle, while deeper zones are ductile. Seismic waves may reveal the presence of the transition but a proper characterization is required. We first obtain a stress-strain relation, including the effects of shear seismic attenuation and ductility due to shear deformations and plastic flow. The anelastic behavior is based on the Burgers mechanical model to describe the effects of seismic attenuation and steady-state creep flow. The shear Lamé constant of the brittle and ductile media depends on the in situ stress and temperature through the shear viscosity, which is obtained by the Arrhenius equation and the octahedral stress criterion. The P and S wave velocities decrease as depth and temperature increase due to the geothermal gradient, an effect which is more pronounced for shear waves. We then obtain the P -S and SH equations of motion recast in the velocity-stress formulation, including memory variables to avoid the computation of time convolutions. The equations correspond to isotropic anelastic and inhomogeneous media and are solved by a direct grid method based on the Runge-Kutta time stepping technique and the Fourier pseudospectral method. The algorithm is tested with success against known analytical solutions for different shear viscosities. A realistic example illustrates the computation of surface and reverse-VSP synthetic seismograms in the presence of an abrupt brittle-ductile transition.

show abstract