@article{fdi:010057043, title = {{E}ffective friction law for small-scale fault heterogeneity in 3{D} dynamic rupture}, author = {{L}atour, {S}. and {C}ampillo, {M}. and {V}oisin, {C}hristophe and {I}onescu, {I}. {R}. and {S}chmedes, {J}. and {L}avallee, {D}.}, editor = {}, language = {{ENG}}, abstract = {{W}e address the problem of modeling dynamic rupture on multiscale heterogeneous faults in 3{D}. {U}nder the assumption of slip-weakening friction, we numerically construct effective friction laws that integrate the effects of small-scale heterogeneity during the rupture. {T}his homogenization process is based on the description of the initial phase of the rupture by the dominant unstable spectral mode. {I}ts dynamics is influenced by the geometry of the fault, the static friction heterogeneities and the friction law. {W}e first define a periodic small-scale heterogeneous model, introducing heterogeneity in the distribution of the static friction coefficient. {W}e then describe a method for constructing this effective friction law. {A}pplying this new law homogeneously on the fault permits to reproduce the dynamic evolution of the heterogeneous fault. {F}urthermore, we show that the effective friction law can be used to replace small-scale heterogeneities in two-scale heterogeneous models, while preserving their effects. {W}e study three kinds of two-scale models, with growing complexity: first periodic at both scales, then periodic only at small scale, and finally irregular at both scales. {T}his homogenization method can be adapted to the case where the heterogeneity is introduced in the initial stress rather than in the static friction value. {F}inally, we show in a simple example that the effective friction law permits to reproduce the transition between subshear and supershear rupture propagation, originally produced by heterogeneities on the fault.}, keywords = {}, booktitle = {}, journal = {{J}ournal of {G}eophysical {R}esearch. {S}olid {E}arth}, volume = {116}, numero = {}, pages = {{B}10306}, ISSN = {0148-0227}, year = {2011}, DOI = {10.1029/2010jb008118}, URL = {https://www.documentation.ird.fr/hor/fdi:010057043}, }