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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

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.