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Table 1. Notations used in this study.

From: Volcano inflation prior to an eruption: Numerical simulations based on a 1-D magma flow model in an open conduit

ρ

Bulk magma density

ρ l

Melt density

ρ e

Ex-solved volatile density

p

Melt pressure

p g

Gas pressure

η f

Melt viscosity

v

Magma ascent velocity

ψ

Void ratio

a

Conduit radius

g

Gravity acceleration

J

Mass flux of volatile

B

Universal gas constant

T

Magma temperature

K l

Bulk modulus of melt

R g

Bubble radius

S

Cell radius

c

Volatile concentration

n

Bubble number density

D

Diffusivity of volatile in melt

t

Time

z

Vertical coordinate