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Table 3 Cubic best-fit equations for the simulated thermal gradient in the geothermal reservoir as a function of the depth of the centroid 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) [Model #]

Volume of the magma chamber V(km3)

R 2

Equationa

1

5.0 to 9.0

7.0 to 11.0 [M1 to M9]

300

0.999000

δT = (1668 ± 96) - (498.9 ± 32.6) dc + (49.76 ± 3.66) × dc2 - (1.653 ± 0.135) dc3

2

5.0 to 9.0

7.25 to 11.25 [M10 to M18]

350

0.998993

δT = (1798 ± 105) - (524.9 ± 34.6) dc + (51.08 ± 3.77) dc2  - (1.656 ± 0.136) dc3

3

5.0 to 9.0

7.5 to 11.5 [M19 to M27]

400

0.998991

δT = (1933 ± 114) - (551.1 ± 36.5) dc + (52.35 ± 3.88) dc2 - (1.657 ± 0.136) dc3

4

5.0 to 9.0

7.875 to 11.875 [M28 to M36]

450

0.998990

δT = (2148 ± 128) - (591.1 ± 39.5) dc + (54.22 ± 4.04) dc2 - (1.657 ± 0.136) dc3

5

5.0 to 9.0

8.25 to 12.75 [M37 to M45]

500

0.998990

δT = (2377 ± 143) - (632.5 ± 42.6) dc + (56.09 ± 4.19) dc2 - (1.657 ± 0.136) dc3

6

5.0 to 9.0

8.5 to 12.5 [M46 to M54]

550

0.998990

δT = (2539 ± 154) - (661 ± 45) dc + (57.33 ± 4.29) dc2 - (1.657 ± 0.136) dc3

7

5.0 to 9.0

8.875 to 12.875 [M55 to M63]

600

0.998990

δT = (2795 ± 172) - (705 ± 48) dc + (59.2 ± 4.4) dc2 - (1.657 ± 0.136) dc3

  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.