A computerized method to estimate friction coefficient from orientation distribution of meso-scale faults |
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| Institution: | 1. Institut Jean Le Rond d’Alembert, UMR CNRS 7190, Université Pierre et Marie Curie, 4 Place Jussieu, F75005 Paris, France;2. Université Paris-Est, UR Navier, UMR 8205 CNRS, Ecole des Ponts ParisTech, 6–8 av. Blaise Pascal, Cité Descartes, Champs-sur-Marne, F-77455 Marne-La-Vallée, France;3. Dipartimento di Ingegneria Civile e Ingegneria Informatica (DICII), Universitá degli Studi di Roma “Tor Vergata”, Viale Politecnico 1, 00133 Rome, Italy |
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| Abstract: | The friction coefficient controls the brittle strength of the Earth’s crust for deformation recorded by faults. This study proposes a computerized method to determine the friction coefficient of meso-scale faults. The method is based on the analysis of orientation distribution of faults, and the principal stress axes and the stress ratio calculated by a stress tensor inversion technique. The method assumes that faults are activated according to the cohesionless Coulomb’s failure criterion, where the fluctuations of fluid pressure and the magnitude of differential stress are assumed to induce faulting. In this case, the orientation distribution of fault planes is described by a probability density function that is visualized as linear contours on a Mohr diagram. The parametric optimization of the function for an observed fault population yields the friction coefficient. A test using an artificial fault-slip dataset successfully determines the internal friction angle (the arctangent of the friction coefficient) with its confidence interval of several degrees estimated by the bootstrap resampling technique. An application to natural faults cutting a Pleistocene forearc basin fill yields a friction coefficient around 0.7 which is experimentally predicted by the Byerlee’s law. |
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| Keywords: | Friction coefficient Fault-slip analysis Stress tensor inversion Orientation distribution Statistical model |
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