http://dx.doi.org/10.1038/470471a…
Jellinek and Bercovici's model offers alternative explanations for many of the features used to formulate these other models. An especially welcome contribution is that the main frequencies produced by wagging are in the 1–5-Hz range, exactly the dominant frequencies observed for most tremor. Importantly, these frequencies are caused by the apparent stiffness of the gas annulus (the spring) and are not related to the dimensions of the conduit. This marks a fundamental distinction between this and previous efforts.
The model also returns similar frequencies for reasonable choices of input parameters such as conduit length, shape or diameter, and is not sensitive to magma composition (andesite, dacite, rhyolite and so on). It also demonstrates that higher frequencies of tremor, up to 7 Hz or more, are produced during explosive eruptions. During eruptions, fragmentation and flow of gases occur in the annulus, causing it to be thinner and stiffer, and hence producing higher wagging frequencies. Such an increase in the frequency of tremor is observed for many eruptions.
There are several limitations to Jellinek and Bercovici's formulation. It may explain only one type of tremor — that during eruptions —and is unlikely to be applicable to deep tremor emanating from around 40 km depth, or tremor caused by hydrothermal boiling. And it does not explicitly address how the wagging system is coupled to the surroundings. Furthermore, the model is simplified to include mainly linear effects: nonlinear effects such as feedback may be relevant in some cases.
Nonetheless, this work provides a fresh perspective on an important and long-standing problem. The basic elements of the model may also provide testable elements to provoke the next generation of field observations.