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Table 1 Input parameters, variable names, and values

From: Estimation of ballistic block landing energy during 2014 Mount Ontake eruption

Parameter name

Notation

Value

Particle diameter (m)

D p

0.2

Drag coefficient

C D

0.0–1.2

Particle density (kg/m3)

ρ p

Mean = 2300

Std = 300

Particle ejection speed (m/s)

v e

100–200

Polar angle (°)

θ

Mean = 0

Std = 15

Azimuth angle (°)

φ

Uniform distribution 0–360

Rotation angle from the vertical axis (°)

γ

20–80

Direction angle from north to east (°)

α

10–30

Gas flow effect range (m)

L f

100

  1. In this model, the particle density and polar angle values are randomly selected from a Gaussian distribution with the given means and standard deviations (std), and the azimuth angle is randomly selected from a uniform distribution with a range of 0°–360°