Phase diagram and density of SiO2–H2O fluid across critical conditions

Progress in Earth and Planetary Science

Table 3 Experimental data used for model calibration and verification

References	T (K)	P (GPa)	n	AARD (%)	AAD
Experimental data used for model calibration
Kennedy et al. (1962)	1316.15–1488.15	0.2–0.95	10	28.953	0.081
Manning (1994)	773.15–1173.15	0.5–1.25	41	13.638	0.002
Holtz et al. (2000)	1473.15–1623.15	0.101–0.6	1	35.257	0.273
Newton and Manning (2000)	873.15–1123.15	0.2–1	4	8.239	0.001
Shmulovich et al. (2001)	773.15–1173.15	0.5, 0.9	6	11.589	0.001
Shmulovich et al. (2006)	673.15–1073.15	0.1–0.9	11	14.341	0.001
Newton and Manning (2008)	1023.15–1403.15	1	14	14.168	0.038
Experimental data used for model verification
Manning (1994)	773.15–973.15	1.5–2	11	13.860	0.001
Nakamura (1974)	1171.276–1674.15	1.5	16	19.246	0.072
Manning and Boettcher (1994)	773.15–873.15	0.5–1.25	3	16.284	0.001
Watson and Wark (1997)	802.15–1141.15	1	3	13.676	0.002
Hunt and Manning (2012)	1173.15–1373.15	1.5–2	13	17.277	0.027
Overall				15.930	0.024

n: Number of experimental data points
AAD and AARD stand for average absolute deviation and average relative deviation respectively between the experimental data and that calculated with the model proposed in this study, which are expressed as follows:
AAD = \({\sum }_{i=1}^{N}\left|\frac{{x}_{\mathrm{s_i}}^{{\text{cal}}}-{x}_{\mathrm{s_i}}^{{\text{exp}}}}{N}\right|\)
AARD = \({\sum }_{i=1}^{N}\left|\frac{({x}_{\mathrm{s _i}}^{{\text{cal}}}-{x}_{\mathrm{s _i}}^{{\text{exp}}})/{x}_{\mathrm{s _i}}^{{\text{exp}}}}{N}\right|\times 100\%\)