Singularity spectrum of intermittent seismic tremor at Kilauea Volcano, Hawaii
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Abstract
Fractal singularity analysis (FSA) is used to study a 22-year record of deep seismic tremor (30–60 km depth) for regions below Kilauea Volcano on the assumption that magma transport and fracture can be treated as a system of coupled nonlinear oscillators. Tremor episodes range from 1 to 100 min (cumulative duration = 1.60×104 min; yearly average = 727 min yr−1; mean gradient = 24.2 min yr−1 km−1). Partitioning of probabilities, pi, in the phase space of normalized durations, xi, are expressed in terms of a function f(α), where α is a variable exponent of a length scale, ℓ. Plots of f(α) vs. α are called multifractal singularity spectra. The spectrum for deep tremor durations is bounded by α values of about 0.4 and 1.9 at f = 0; fmax ≃ 1.0 for α ≃ 1. Results for tremor are similar to those found for systems transitional between complete mode locking and chaos.
Suggested Citation
Shaw, H.R., and Chouet, B., 1989, Singularity spectrum of intermittent seismic tremor at Kilauea Volcano, Hawaii: Geophysical Research Letters, v. 16, no. 2, p. 195-198, https://doi.org/10.1029/GL016i002p00195.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Singularity spectrum of intermittent seismic tremor at Kilauea Volcano, Hawaii |
| Series title | Geophysical Research Letters |
| DOI | 10.1029/GL016i002p00195 |
| Volume | 16 |
| Issue | 2 |
| Publication Date | December 07, 2012 |
| Year Published | 1989 |
| Language | English |
| Publisher | American Geophysical Union |
| Description | 4 p. |
| First page | 195 |
| Last page | 198 |