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Table 5 Cubic best-fit equations for thermal gradient in the geothermal reservoir as a function of either chamber depth or volume, or both, from all 63 simulated models

From: Three-dimensional thermal sensitivity analysis of cooling of a magma chamber in the Los Azufres geothermal field, Michoacán, Mexico

Equation # Depth of the top of magma chamber (d, km) Centroid of the magma chamber (dc, km) Volume of the magma chamber ( V, km3) R 2 Equationa
17 5.0 to 9.0 7.000 to 12.875 ----------- 0.691799 δT = (299 ± 289) - (50 ± 89) dc + (2.0 ± 9.1) dc2 - (0.009 ± 0.306) dc3
18 ----------- ----------- 300 to 600 0.000000 δT = (11 ± 239) + (1 ± 1680) V - (2 ± 3820) V2  + (1 ± 2820) V3
19 5.0 to 9.0 7.000 to 12.875 300 to 600 0.838748 δT = 677 ± 238 - 169 ± 68 dc + 13.9 ± 7.0 dc 2 - 0.392 ± 0.234 dc 3 - 0.069 ± 0.69 V + 0.37 ± 1.58 V 2 - 0.31 ± 1.17 V 3
  1. aThe coefficients and their errors in the equations are rounded values according to the flexible rules put forth by Verma (2005).