Frictional heating in a thick fault zone with empirical slip-weakening friction: implications for slip parameter estimation from temperature observations in deep fault drilling

Progress in Earth and Planetary Science

Table 2 Properties of the three fault zones where temperature observations were performed

Drilling site	2l [m]	α [m² s⁻¹]	t [year]	t_s [s]	\(l/2\sqrt {\alpha \left( {t - t_{{\text{s}}} } \right)}\)	t_s/t
Chelungpu fault^a	\(2\times {10}^{-2}\)	\(5.0\times {10}^{-7}\)	\(\ge 6\)	\(6\)	\(\le 5.1\times {10}^{-4}\)	\(\le 3.2\times {10}^{-8}\)
Japan Trench^b	–	\(3.9\times {10}^{-7}\)	\(\ge 1.5\)	\(50\)	–	\(\le 1.1\times {10}^{-6}\)
Wenchuan fault^c	\(1\times {10}^{-2}\)	\(1.5\times {10}^{-6}\)	\(\ge 1.3\)	\(125\)	\(\le 3.2\times {10}^{-4}\)	\(\le 3.1\times {10}^{-6}\)

\(2l\), fault zone thickness; \(\alpha\), thermal diffusivity; \(t\), time elapsed after event; \({t}_{\mathrm{s}}\), slip duration
^aFrom Ma et al. (2003, 2006), Hirono and Hamada (2010), Kano et al. (2006)
^bFrom Fulton et al. (2013)
^cFrom Li et al. (2013, 2015), Yagi et al. (2012)