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Studium rovnováhy mezi klesajícími kapkami železa a roztavenými silikáty v magmatických oceánech
Ulvrová, Martina ; Velímský, Jakub (advisor) ; Šrámek, Ondřej (referee)
During the Earth's accretion process deep magma oceans were episodically formed. Differentiation of iron took place within the melted zone and small droplets of iron were sinking to the base of the magma ocean due to the density contrast. In the present work we study the process of equilibration between dispersed metal droplets and surrounding silicates that proceeds by the advection transport and diffusion at the rim. We allow for steady state ow of a spherical liquid blob falling in a host liquid and establish the numerical code in axisymmetric spherical coordinates computing the chemical evolution of such heterogeneous system. We focus on determining the time scales of equilibration for which we propose an analytical model based on the boundary layer analysis. The obtained characteristic times are especially for low silicate viscosities very short that supports the idea that the drops attained equilibrium while sinking.
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Nonlinear rheological models and dynamic processes in the Earth interior
Ulvrová, Martina ; Čížková, Hana (advisor) ; Matyska, Ctirad (referee)
Nu/ev prace: Nelinrarni n-olujMcke niodely: popis dynamickych procesu v xeni- skem nitru Autor: Martina Ulvrova. Katedra (ustav): Katedra geofyziky Vedouei bakalafskc prace: Mgr. Ha.na C'i/kova,. Ur. e-mail vedouciho: hk:(lkarel.1roja.niff.euni.c/ Abslrakt: V pfedlo/,ene praci studujeme uelineanii visko/ni reolojncky popis, ktery je tiYba uva/ovat \ni numi'i'iekem inodelova.ni j)rc)cesu litostericke subdukee. Na.s kompo/,itm' model xaliriiujf tfi tlelbrmacni ineehani'/mv: linearni ncwtonov- ske tcreiii. mocliimiy dislokaeni creep a neliiic'avii] Peieiisovo tectini. Pro nV/ne hlou!)ky a velikowti zrn ukazii)eme, Jake i'eolo^it:ke iiKx-liani/niy so nplatnnji xa. danyeh te])lotnich, tlakovych a uajjelovyeli pudiniiu'k od])ovida jieii-li ru/nym ob~ last.em ])lasle. Dale tento reoloj^icky popis a.plikujemc na model piedpokladanelio ro/lozeni teploty a nap(Hi v snbdukovane desce a diskuUijeme, ja.k se jedinitlive mechani/uiy podileji na defbrmaci desky. Klicova slova: snlxlukce liiosiery; rrolo^ie; dcformarni mapy Title: Nonlinear rheological models: Description of dynamic processes in the Earth 's interior Author: Martina Ulvrova Department: Dejjartment of geophysis Supervisor: M^r. liana Oi/kova, Dr. Supervisor's e-mail address: Abstract: In the present work we study nonlinear viscous rhrolov that should be...
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Studium rovnováhy mezi klesajícími kapkami železa a roztavenými silikáty v magmatických oceánech
Ulvrová, Martina ; Velímský, Jakub (advisor) ; Šrámek, Ondřej (referee)
During the Earth's accretion process deep magma oceans were episodically formed. Differentiation of iron took place within the melted zone and small droplets of iron were sinking to the base of the magma ocean due to the density contrast. In the present work we study the process of equilibration between dispersed metal droplets and surrounding silicates that proceeds by the advection transport and diffusion at the rim. We allow for steady state ow of a spherical liquid blob falling in a host liquid and establish the numerical code in axisymmetric spherical coordinates computing the chemical evolution of such heterogeneous system. We focus on determining the time scales of equilibration for which we propose an analytical model based on the boundary layer analysis. The obtained characteristic times are especially for low silicate viscosities very short that supports the idea that the drops attained equilibrium while sinking.
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Nonlinear rheological models and dynamic processes in the Earth interior
Ulvrová, Martina ; Čížková, Hana (advisor) ; Matyska, Ctirad (referee)
Nu/ev prace: Nelinrarni n-olujMcke niodely: popis dynamickych procesu v xeni- skem nitru Autor: Martina Ulvrova. Katedra (ustav): Katedra geofyziky Vedouei bakalafskc prace: Mgr. Ha.na C'i/kova,. Ur. e-mail vedouciho: hk:(lkarel.1roja.niff.euni.c/ Abslrakt: V pfedlo/,ene praci studujeme uelineanii visko/ni reolojncky popis, ktery je tiYba uva/ovat \ni numi'i'iekem inodelova.ni j)rc)cesu litostericke subdukee. Na.s kompo/,itm' model xaliriiujf tfi tlelbrmacni ineehani'/mv: linearni ncwtonov- ske tcreiii. mocliimiy dislokaeni creep a neliiic'avii] Peieiisovo tectini. Pro nV/ne hlou!)ky a velikowti zrn ukazii)eme, Jake i'eolo^it:ke iiKx-liani/niy so nplatnnji xa. danyeh te])lotnich, tlakovych a uajjelovyeli pudiniiu'k od])ovida jieii-li ru/nym ob~ last.em ])lasle. Dale tento reoloj^icky popis a.plikujemc na model piedpokladanelio ro/lozeni teploty a nap(Hi v snbdukovane desce a diskuUijeme, ja.k se jedinitlive mechani/uiy podileji na defbrmaci desky. Klicova slova: snlxlukce liiosiery; rrolo^ie; dcformarni mapy Title: Nonlinear rheological models: Description of dynamic processes in the Earth 's interior Author: Martina Ulvrova Department: Dejjartment of geophysis Supervisor: M^r. liana Oi/kova, Dr. Supervisor's e-mail address: Abstract: In the present work we study nonlinear viscous rhrolov that should be...
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