Crustal stress and faulting: Theory

• How much does slip on a single fault plane constrain the stress tensor ?
  • Mathematical formulation: inverse problem for a single fault plane with friction and rake constraints
  • Results:
    • Analytical solutions
    • Graphical representations
  • Publications: detailed analysis in Célérier (1988a) and main results in Célérier (1988b)
  
  
• What is the distribution of slip rakes of faults reactivated in a common tectonic regime ?
  • Mathematical formulation: direct problem with rake constraint only
  • Results:
    • Analytical solutions
    • Graphical representations
      • Faulting style as a function of tectonic regime
      • Typical fault slip in various tectonic regimes
      • Rake level curves in various tectonic regimes
  • Publication: Célérier (1995)
  
  
• What is the relationship between the tectonic regime, the rake of the slip vectors, the dip of the nodal planes, and the plunges of the P, B, and T axes of earthquake focal mechanisms ?
  • Approach: geometrical analysis
  • Results: level curves of rake and dip as a function of P, B, and T plunges
  • Publication: Célérier (2010)
  
  
• Can a single stress tensor explain seismic ruptures with double focal mechanisms ?
  • Mathematical formulation: inverse problem for two fault planes with friction and rake constraints
  • Simplifying assumptions: search only stress tensors either with a vertical principal stress direction or that are optimally oriented with respect to the initial focal mechanism
  • Results:
    • Analytical solutions
    • Graphical representations:
  • Publication: Tajima & Célérier (1989)
  
  
• How accurate are estimates of extension derived from fault heave ?
  • Approach: geometrical analysis
  • Result: error range as a function of fault block rotation
  • Publication: Sclater & Célérier (1988)
  
  

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