Table 1 Parameters used to calculate the example solutions
Parameter | Symbol | Value | Unit | References |
|---|---|---|---|---|
Thermal diffusivity | \(\alpha\) | \(5.0\times {10}^{-7}\) | \({\mathrm{m}}^{2} \; {\mathrm{s}}^{-1}\) | Hirono and Hamada (2010) |
Thermal conductivity | \(K\) | \(1.43\) | \(\mathrm{W} \; {\mathrm{m}}^{-1} \; {\mathrm{K}}^{-1}\) | |
Specific heat capacity | \(c\) | \(1300\) | \(\mathrm{J} \; {\mathrm{kg}}^{-1} \; {\mathrm{K}}^{-1}\) | Hirono and Hamada (2010) |
Bulk rock density | \(\rho\) | \(2200\) | \(\mathrm{kg} \; {\mathrm{m}}^{-3}\) | Hirono et al. (2006) |
Fluid density | \({\rho }_{\mathrm{f}}\) | \(1000\) | \(\mathrm{kg} \; {\mathrm{m}}^{-3}\) | |
Deformation depth | \(1111\) | \(\mathrm{m}\) | Kano et al. (2006) | |
Initial temperature | \({T}_{0}\) | \(46.5\) | \(^\circ \mathrm{C}\) | Kano et al. (2006) |
Peak friction coefficient | \({f}_{\mathrm{p}}\) | \(1.0\) | Tanikawa and Shimamoto (2009) | |
Steady-state friction coefficient | \({f}_{\mathrm{ss}}\) | \(0.2\) | Tanikawa and Shimamoto (2009) | |
Characteristic length | \({d}_{\mathrm{c}}\) | \(2.5\) | \(\mathrm{m}\) | Tanikawa and Shimamoto (2009) |
Slip displacement | \(8.3\) | \(\mathrm{m}\) | Ma et al. (2006) | |
Slip duration | \({t}_{\mathrm{s}}\) | \(6\) | \(\mathrm{s}\) | Ma et al. (2006) |
Half width of the fault zone | \(l\) | \(1 \times 10^{ - 2}\) | \(\mathrm{m}\) | Ma et al. (2006) |
Gravitational acceleration | \(g\) | \(9.8\) | \(\mathrm{m} \; {\mathrm{s}}^{-2}\) | |
Total width of the systema | \(1.8 \times 10^{ - 1}\) | \(\mathrm{m}\) | ||
Element sizea | \({\Delta }x\) | \(6.06 \times 10^{ - 4}\) | \(\mathrm{m}\) |