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.
| 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 |
| Year Published | 1989 |
| Language | English |
| Publisher | American Geophysical Union |
| Description | 4 p. |
| First page | 195 |
| Last page | 198 |
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