New approach to Gutenberg-Richter scaling

Area of Science:

• Geophysics
• Complex Systems
• Statistical Seismology

Background:

• Gutenberg-Richter scaling describes earthquake size distributions.
• Previous models often assume uniform fault properties.
• Regional variations in earthquake scaling (b-value) are not fully understood.

Purpose of the Study:

• To develop a new earthquake fault system model incorporating damage.
• To investigate how fault damage affects earthquake scaling laws.
• To explain variations in the Gutenberg-Richter scaling exponent across tectonic regions.

Main Methods:

• Introduction of a fault system model composed of noninteracting lattice models with varying damage levels (q).
• Analysis of scaling properties for undamaged (q=0) and damaged models.
• Examination of the combined fault system's scaling behavior.

Main Results:

• Undamaged lattice models (q=0) exhibit Gutenberg-Richter scaling with a cumulative exponent β=1/2.
• Damaged models lack well-defined scaling.
• The combined fault system shows excellent scaling, with the exponent dependent on the relative frequency of damage levels.

Conclusions:

• Gutenberg-Richter scaling can arise from a system of damaged and undamaged faults.
• Fault system structure, including damage distribution, influences earthquake statistics.
• This model provides a framework for understanding regional variations in earthquake scaling exponents (b-values).