### 抄録

We have newly developed an accurate theoretical model of bubble formation in supersaturated magma with a relatively low viscosity under the formulation by Toramaru (1995). Such a model is essential in deriving considerable information from the data of bubble nucleation in the recent decompression experiments. We obtain analytical solutions for the time evolution of the nucleation rate and the number density of nucleated bubbles in cases with constant decompression rates and constant supersaturation pressures. Both the bubble number density and the duration time of nucleation obtained in this study are larger than those obtained by Toramaru by a factor of 10. We find that the uncertainty of several orders in the classical nucleation rate has little effect on the final number density of bubbles in cases of continuous decompression. In the formulation by Toramaru, a spatially uniform volatile concentration surrounding the growing bubbles is assumed. We also construct a nonuniform concentration model and subsequently show that an uniform concentration model is valid for the evaluation of the bubble number density. Finally, we apply our model to the recent decompression experiments and indirectly estimate the surface tensions of the rhyolitic melt with only H_{2}O and with H_{2}O and CO_{2}. Our indirect estimates indicate that the surface tensions for 7 wt % H_{2}O dissolved in melt are 0.08 ± 0.01 N m^{-1} for samples with no CO_{2} and 0.07 ± 0.01 N m^{-1} for samples with a considerable amount of CO_{2}, respectively. These estimations are consistent with the available experimental values of the surface tension.

元の言語 | English |
---|---|

ページ（範囲） | 1-17 |

ページ数 | 17 |

ジャーナル | Journal of Geophysical Research B: Solid Earth |

巻 | 110 |

発行部数 | 2 |

DOI | |

出版物ステータス | Published - 2005 2 4 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Oceanography
- Astronomy and Astrophysics
- Atmospheric Science
- Space and Planetary Science
- Earth and Planetary Sciences (miscellaneous)
- Geophysics
- Geochemistry and Petrology

### これを引用

*Journal of Geophysical Research B: Solid Earth*,

*110*(2), 1-17. https://doi.org/10.1029/2004JB003113

**A new theory of bubble formation in magma.** / Yamada, Ko; Tanaka, Hidekazu; Nakazawa, Kiyoshi; Emori, Hiroyuki.

研究成果: Article

*Journal of Geophysical Research B: Solid Earth*, 巻. 110, 番号 2, pp. 1-17. https://doi.org/10.1029/2004JB003113

}

TY - JOUR

T1 - A new theory of bubble formation in magma

AU - Yamada, Ko

AU - Tanaka, Hidekazu

AU - Nakazawa, Kiyoshi

AU - Emori, Hiroyuki

PY - 2005/2/4

Y1 - 2005/2/4

N2 - We have newly developed an accurate theoretical model of bubble formation in supersaturated magma with a relatively low viscosity under the formulation by Toramaru (1995). Such a model is essential in deriving considerable information from the data of bubble nucleation in the recent decompression experiments. We obtain analytical solutions for the time evolution of the nucleation rate and the number density of nucleated bubbles in cases with constant decompression rates and constant supersaturation pressures. Both the bubble number density and the duration time of nucleation obtained in this study are larger than those obtained by Toramaru by a factor of 10. We find that the uncertainty of several orders in the classical nucleation rate has little effect on the final number density of bubbles in cases of continuous decompression. In the formulation by Toramaru, a spatially uniform volatile concentration surrounding the growing bubbles is assumed. We also construct a nonuniform concentration model and subsequently show that an uniform concentration model is valid for the evaluation of the bubble number density. Finally, we apply our model to the recent decompression experiments and indirectly estimate the surface tensions of the rhyolitic melt with only H2O and with H2O and CO2. Our indirect estimates indicate that the surface tensions for 7 wt % H2O dissolved in melt are 0.08 ± 0.01 N m-1 for samples with no CO2 and 0.07 ± 0.01 N m-1 for samples with a considerable amount of CO2, respectively. These estimations are consistent with the available experimental values of the surface tension.

AB - We have newly developed an accurate theoretical model of bubble formation in supersaturated magma with a relatively low viscosity under the formulation by Toramaru (1995). Such a model is essential in deriving considerable information from the data of bubble nucleation in the recent decompression experiments. We obtain analytical solutions for the time evolution of the nucleation rate and the number density of nucleated bubbles in cases with constant decompression rates and constant supersaturation pressures. Both the bubble number density and the duration time of nucleation obtained in this study are larger than those obtained by Toramaru by a factor of 10. We find that the uncertainty of several orders in the classical nucleation rate has little effect on the final number density of bubbles in cases of continuous decompression. In the formulation by Toramaru, a spatially uniform volatile concentration surrounding the growing bubbles is assumed. We also construct a nonuniform concentration model and subsequently show that an uniform concentration model is valid for the evaluation of the bubble number density. Finally, we apply our model to the recent decompression experiments and indirectly estimate the surface tensions of the rhyolitic melt with only H2O and with H2O and CO2. Our indirect estimates indicate that the surface tensions for 7 wt % H2O dissolved in melt are 0.08 ± 0.01 N m-1 for samples with no CO2 and 0.07 ± 0.01 N m-1 for samples with a considerable amount of CO2, respectively. These estimations are consistent with the available experimental values of the surface tension.

UR - http://www.scopus.com/inward/record.url?scp=19844369848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=19844369848&partnerID=8YFLogxK

U2 - 10.1029/2004JB003113

DO - 10.1029/2004JB003113

M3 - Article

AN - SCOPUS:19844369848

VL - 110

SP - 1

EP - 17

JO - Journal of Geophysical Research: Space Physics

JF - Journal of Geophysical Research: Space Physics

SN - 2169-9313

IS - 2

ER -