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where ρ1, ρ2, g, h, L, r, and μ represent the density of extruded lava, the density of conduit lava, gravity's acceleration (9.8 m/s2), the thickness of the extruded lava (m), conduit length, conduit radius (m), and the bulk viscosity of the magma.
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An approach using model idealization that ignores possible contributions from a finite-length conduit may also introduce errors.
Measure the length of conduit you'll need.
Fish the power lead cable through one length of conduit.
However, considering an argument by Slezin (2003) which discussed the critical conduit length in relation to an eruption style, we examined the effect of the conduit length by changing it from 5 to 7 km, before undertaking specific calculations.
All variables are scaled by the conduit length (h).
The pressure difference has a maximum, Δp, at z = h – 0.9 × (h – zm0), where h is the conduit length, and linearly decreases with depth.
The radial and vertical displacements, and the distance from the vent, are expressed by dimensionless forms that are scaled by the conduit length h.
Tameguri et al. (2004) determined the initial phase of the explosion earthquakes at about 500 m, so we tentatively set the conduit length to be 1000 m.
The scale units are systematically derived from the base units: the reference melt density ρ r, the conduit length h, and the degree of viscous drag ηf/a2.
The conduit length is estimated to be 10.8 km because the vent of Shinmoedake is at an altitude of 1 km.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com