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Table 2 Parameters for hydrothermal flow

From: Linking the flow-induced tremor model to the seismological observation: application to the deep harmonic tremor at Hakone volcano, Japan

Parameter

Value

Unit

Definitions

\(a_0\)

0.02

m

Minor half axis of the channel cross section

\(b_0\)

1.0

m

Major half axis of the channel cross section

L

4.0

m

Length of the channel

\(C_m\)

0.813

–

\(L^{\frac{2}{3}}(48\pi ^3a_0b_0)^{-\frac{1}{3}}\): Eq. (4)

\(p_1\)

\(3.0\times 10^4\)

Pa

Upstream effective pressure

\(p_2\)

0.0

Pa

Downstream effective pressure

\(\rho\)

1010

kg/m\(^3\)

Fluid density

\(\eta\)

\(2.0\times 10^{-4}\)

Pa s

Fluid viscosity

\(C_d\)

0.01

–

Turbulent friction factor

A

0

Pa s

Channel damping coefficient

\(K_c\)

\(3.0\times 10\) \(^{-6}\)

–

Channel elasticity coefficient

\(k_r\)

\(76.1\times 10^9\)

Pa

Bulk modulus of the host rock

\(\rho _r\)

2968

kg/m\(^3\)

Density of the host rock