A simple fracture-mechanical model for the evolution of seismicity

Details A simple fracture-mechanical model for the evolution of seismicity A simple fracture-mechanical model for the evolution of seismicity

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19..365h&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 19, Feb. 21, 1992, p. 365-368.

Mathematics

Logic

15

Earthquakes, Fracture Mechanics, Geological Faults, Seismology, Acoustic Emission, Compression Loads, Crack Propagation, Fracture Strength, Ising Model, Random Walk

Scientific paper

A simple model is presented in which a fault is represented by a one-dimensional array of elements to which a remote stress is applied. The fracture toughnesses of the fault elements are initially generated by a random walk function, but the fracture system quickly becomes organized into a fractal set characterized by a (box-counting) fractal dimension. The slope, b, of the frequency-magnitude distribution and the fractal dimension of the crack population are measured at each step, and found to vary in a similar manner to the seismic b-value and fractal dimension of earthquake epicentres. The model also predicts the observed variation of b-value of acoustic emissions in laboratory experiments.

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