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Table 5 Representative results of calculations of MELTS, densities, and volumes of bubbles of the magmas. The calculations were done for six types of magmas (A1, A2, A3, B1, B2, and B3) at a temperature of 1079 °C

From: Petrological characteristics and volatile content of magma of the 1979, 1989, and 2014 eruptions of Nakadake, Aso volcano, Japan

Magma

A1

A1

A1

A1

A1

A2

A2

A2

A2

A2

A3

A3

A3

A3

A3

Bulk H2O (wt%)

1

1

1

1

1

2

2

2

2

2

0.5

0.5

0.5

0.5

0.5

Temperature (°C)

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

Pressure (MPa)

400

200

100

50

25

400

200

100

50

25

400

200

100

50

25

Phase (vol%)b

 Melt

65.6

72.3

76.9

79.2

80.4

87.0

92.5

96.1

98.2

88.3

48.9

55.5

59.8

62.4

63.7

 Plagioclase (An)

17.9 (63)

15.8 (68)

14.1 (71)

13.4 (72)

13.2 (73)

0.2 (74)

0.6 (79)

0.4 (81)

0.2 (82)

7.7 (77)

31.8 (56)

29.0 (60)

26.8 (63)

25.5 (64)

24.9 (65)

 Olivine (Fo)

0.0

0.0

0.0

0.2 (73)

0.5 (74)

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

 Clinopyroxene (Mg#)

15.8 (64)

10.8 (69)

8.0 (71)

6.2 (72)

5.1 (73)

12.8 (67)

6.9 (70)

3.5 (73)

1.6 (73)

3.7 (74)

18.1 (62)

13.8 (67)

11.5 (69)

10.2 (70)

9.6 (71)

 Orthopyroxene (Mg#)

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

 Spinel

0.7

1.0

1.1

1.0

0.9

0.0

0.0

0.0

0.0

0.3

1.3

1.7

1.8

1.8

1.8

Chemical composition of melt (wt%)

 SiO2

57.8

57.4

57.0

56.8

56.7

55.7

55.0

54.6

54.5

55.5

59.7

59.5

59.2

59.0

58.9

 TiO2

1.1

1.0

1.0

1.0

1.0

0.9

0.9

0.9

0.9

1.0

1.3

1.1

1.1

1.1

1.1

 Al2O3

18.3

17.6

17.3

17.0

16.9

20.0

19.0

18.4

18.2

17.3

17.1

16.5

16.2

16.0

16.0

 FeOt

7.7

8.0

8.2

8.3

8.4

8.0

8.5

8.6

8.6

8.8

6.7

7.1

7.3

7.4

7.5

 MnO

0.3

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.4

0.3

0.3

0.3

0.3

 MgO

1.9

2.6

3.1

3.4

3.4

2.2

3.0

3.5

3.7

3.7

1.5

2.1

2.5

2.7

2.9

 CaO

5.7

6.3

6.7

7.0

7.2

6.6

7.6

8.2

8.6

7.7

5.4

5.9

6.2

6.4

6.4

 Na2O

3.6

3.5

3.4

3.4

3.3

3.5

3.3

3.2

3.1

3.2

3.2

3.3

3.4

3.4

3.4

 K2O

3.1

2.8

2.6

2.5

2.5

2.4

2.2

2.1

2.0

2.3

4.1

3.6

3.4

3.2

3.2

 P2O5

0.5

0.4

0.4

0.4

0.4

0.3

0.3

0.3

0.3

0.3

0.6

0.5

0.5

0.5

0.5

 H2Oc

1.6

1.5

1.3

1.3

1.2

2.4

2.2

2.1

1.9

1.5

1.1

1.0

0.9

0.8

0.8

 CO c2

0.146

0.098

0.040

0.015

0.004

0.215

0.113

0.043

0.012

0.001

0.089

0.078

0.039

0.016

0.006

Gas (wt%)d

0.00

0.04

0.09

0.13

0.20

0.00

0.10

0.19

0.31

1.00

0.00

0.00

0.04

0.06

0.08

H2O in gas (in mol)d

 

0.15

0.24

0.39

0.67

 

0.27

0.42

0.67

0.90

  

0.14

0.24

0.43

Volume of bubbles (vol%)d

0.00

0.13

0.64

1.85

6.67

0.00

0.50

1.81

6.51

33.48

0.00

0.00

0.18

0.60

1.78

Density (kg m−3)d

2696

2632

2586

2531

2400

2623

2536

2458

2320

1704

2743

2692

2662

2633

2594

Magma

B1

B1

B1

B1

B1

B2

B2

B2

B2

B2

B3

B3

B3

B3

B3

Bulk H2O (wt%)

1

1

1

1

1

2

2

2

2

2

0.5

0.5

0.5

0.5

0.5

Temperature (°C)

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

1079

Pressure (MPa)

400

200

100

50

25

400

200

100

50

25

400

200

100

50

25

Phase (vol%)b

 Melt

66.3

73.3

78.0

80.3

81.5

87.7

93.9

97.5

99.4

93.1

49.2

56.0

60.4

63.0

64.3

 Plagioclase (An)

17.4 (63)

15.2 (68)

13.3 (71)

12.7 (72)

12.5 (73)

0.0

0.0

0.0

0.0

4.7 (78)

31.5 (56)

28.6 (60)

26.4 (63)

25.2 (64)

24.5 (65)

 Olivine (Fo)

0.0

0.0

0.0

0.2 (73)

0.4 (74)

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

 Clinopyroxene (Mg#)

15.5 (63)

10.5 (69)

7.6 (71)

5.8 (72)

4.6 (73)

12.3 (65)

6.1 (70)

2.5 (73)

0.6 (74)

2.0 (72)

18.0 (61)

13.7 (66)

11.4 (69)

10.0 (70)

9.4 (71)

 Orthopyroxene (Mg#)

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

 Spinel

0.8

1.1

1.1

1.0

0.9

0.0

0.0

0.0

0.0

0.2

1.3

1.7

1.8

1.9

1.9

Chemical composition of melt (wt%)

 SiO2

57.8

57.4

57.0

56.8

56.6

55.6

54.8

54.5

54.4

55.0

59.6

59.4

59.2

58.9

58.8

 TiO2

1.1

1.0

1.0

1.0

1.0

1.0

1.0

0.9

0.9

1.0

1.3

1.2

1.1

1.1

1.1

 Al2O3

18.4

17.7

17.3

17.1

16.9

20.0

19.0

18.4

18.0

17.5

17.2

16.5

16.2

16.1

16.0

 FeOt

7.5

7.8

8.0

8.2

8.3

8.0

8.4

8.5

8.5

8.7

6.6

7.0

7.2

7.4

7.4

 MnO

0.3

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.2

0.4

0.3

0.3

0.3

0.3

 MgO

1.9

2.7

3.2

3.4

3.5

2.3

3.1

3.6

3.9

3.9

1.5

2.1

2.5

2.8

2.9

 CaO

5.9

6.5

6.8

7.1

7.3

6.8

7.8

8.4

8.8

8.2

5.5

6.0

6.3

6.4

6.5

 Na2O

3.6

3.5

3.4

3.3

3.3

3.5

3.3

3.1

3.0

3.1

3.2

3.3

3.4

3.4

3.4

 K2O

3.1

2.8

2.6

2.5

2.5

2.3

2.1

2.0

2.0

2.1

4.0

3.6

3.4

3.2

3.1

 P2O5

0.5

0.4

0.4

0.4

0.4

0.3

0.3

0.3

0.3

0.3

0.6

0.5

0.5

0.5

0.5

 H2Oc

1.6

1.4

1.3

1.2

1.0

2.3

2.1

1.9

1.6

1.2

1.1

1.0

0.9

0.8

0.7

 CO c2

0.245

0.102

0.043

0.017

0.006

0.289

0.118

0.047

0.017

0.005

0.224

0.093

0.040

0.017

0.007

Gas (wt%)d

0.59

0.66

0.70

0.77

0.91

0.97

1.10

1.22

1.43

2.04

0.22

0.30

0.34

0.36

0.41

H2O in gas (in mol)d

0.11

0.15

0.22

0.35

0.53

0.17

0.24

0.36

0.52

0.69

0.07

0.09

0.14

0.23

0.38

Volume of bubbles (vol%)d

1.33

2.48

4.74

9.95

22.52

2.97

5.40

10.55

22.60

46.51

0.37

0.86

1.73

3.60

8.33

Density (kg m−3)d

2676

2586

2494

2345

2007

2579

2444

2272

1959

1378

2740

2681

2630

2562

2430

  1. See Additional file 4: Table S3 for detail calculation procedures
  2. FeOt, total FeO
  3. aBulk CO2 and S contents of the magmas before degassing are given in Table 6
  4. bValues in parenthesis show chemical composition of the minerals. An, anorthite content (mol%) in plagioclase (An/(An + Ab) × 100%), Fo, forsterite content (mol%) in olivine, Mg#, Mg/(Mg + Fe) × 100%
  5. cWater and CO2 contents of the melt were calculated from the pressure, temperature chemical composition of the melt and the bulk H2O and CO2 contents using the solubility model of Papale et al. (2006)
  6. dGas contents (H2O + CO2, wt%) of the fluid (melt and gas) and mol fractions of H2O in the gases were calculated from the pressure, temperature chemical composition of the melts, and the bulk H2O and CO2 contents of the fluids using the solubility model of Papale et al. (2006). The volumes of bubbles were calculated from the masses of H2O and CO2 gases exsolved from the melt and densities of H2O and CO2 gases that were calculated with Modified Redlich–Kwong equation of state (Holloway 1981) . The densities of the magmas were calculated from the bubble volumes and masses and densities of the melt and crystal calculated by MELTS, assuming that the bubbles do not separate from the magma