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Table 4 Cubic best-fit equations for the simulated thermal gradient in the geothermal reservoir as a function of the volume of the magma chamber

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) [Model #] R 2 Equationa
8 5.0 7.000 to 8.875 300 to 600 [M1, 10, 19, 28, 37, 46, 55] 0.991220 δT = (45.712 ± 0.129) + (5.80 × 10- 3 ± 0.90x 10- 3V - (11.67 × 10- 3 ± 2.05 × 10- 3V2 + (7.69 × 10- 3 ± 1.52 × 10- 3V3
9 5.5 7.500 to 9.375 300 to 600 [M2, 11, 20, 29, 38, 47, 56] 0.988839 δT = (26.113 ± 0.044) + (1.87 × 10- 3 ± 3.12 × 10- 4V - (37.6 × 10- 4 ± 7.1 × 10- 4V2 + (24.9 × 10- 4 ± 5.2 × 10- 4V3
10 6.0 8.000 to 9.875 300 to 600 [M3, 12, 21, 30, 39, 48, 57] 0.986291 δT = (13.7530 ± 0.0139) + (55.2 × 10- 5 ± 9.8 × 10- 5V - (11.14 × 10- 4 ± 2.23 × 10- 4V2 + (7.42 × 10- 4 ± 1.65 × 10- 4V3
11 6.5 8.500 to 10.375 300 to 600 [M4, 13, 22, 31, 40, 49, 58] 0.983621 δT = (6.69010 ± 4.03 × 10- 3) + (15.04 × 10- 5 ± 2.83 × 10- 5V - (30.5 × 10- 5 ± 6.4 × 10- 5V2 + (20.4 × 10- 5 ± 4.8 × 10- 5V3
12 7.0 9.000 to 10.875 300 to 600 [M5, 14, 23, 32, 41, 50, 59] 0.980872 δT = (3.00922 ± 1.07 × 10- 3) + (37.8 × 10- 6 ± 7.5 × 10- 6V - (7.70 × 10- 5 ± 1.70 × 10- 5V2 + (5.15 × 10- 5 ± 1.26 × 10- 5V3
13 7.5 9.500 to 11.375 300 to 600 [M6, 15, 24, 33, 42, 51, 60] 0.978078 δT = (1.252520 ± 2.59x 10- 4) + (8.80 × 10- 6 ± 1.82 × 10- 6V - (17.96 × 10- 6 ± 4.13 × 10- 6V2 + (12.06 × 10- 6 ± 3.06 × 10- 6V3
14 8.0 10.000 to 11.875 300 to 600 [M7, 16, 25, 34, 43, 52, 61] 0.975271 δT = (0.172276 ± 1.19 × 10- 5) + (37.8 × 10- 8 ± 8.4 × 10- 8V - (7.75 × 10- 7 ± 1.91 × 10- 7V2 + (5.22 × 10- 7 ± 1.41 × 10- 7V3
15 8.5 10.500 to 12.375 300 to 600 [M8, 17, 26, 35, 44, 53, 62] 0.972478 δT = (0.172276 ± 1.19 × 10- 5) + (37.8 × 10- 8 ± 8.4 × 10- 8V - (7.75 × 10- 7 ± 1.91 × 10- 7V2 + (5.22 × 10- 7 ± 1.41 × 10- 7V3
16 9.0 11.000 to 12.875 300 to 600 [M9, 18, 27, 36, 45, 54, 63] 0.969720 δT = (0.05697113 ± 2.28 × 10. - 6) + (69.8 × 10- 9 ± 1.6 × 10- 8V - (14.37 × 10- 8 ± 3.64 × 10- 8V2 + (9.68 × 10- 8 ± 2.69 × 10- 8V3
  1. aThe coefficients and their errors in the equations are rounded values according to the flexible rules put forth by Verma (2005). For Model # see Table 2.