Table 1 Parameters for magma flow
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) |
\(p_1\) | \(3.0\times 10^5\) | Pa | Upstream effective pressure |
\(p_2\) | 0.0 | Pa | Downstream effective pressure |
\(\rho\) | 2800 | kg/m\(^3\) | Fluid density |
\(\eta\) | 5.0 | Pa s | Fluid viscosity |
\(C_d\) | 0.01 | – | Turbulent friction factor |
A | 0.0 | Pa s | Channel damping coefficient |
\(K_c\) | \(6.0\times 10^{-7}\) | – | 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 |