Phase transition zone width implications for convection structure

Trubitsyn, V. P.; Evseev, A. N.; Баранов, А. А.; Trubitsyn, A. P.

doi:10.1134/s1069351308080016

Cited by 9 publications

(4 citation statements)

References 9 publications

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“…where γ is the Clapeyron slope; and z 0 and T 0 are the averaged depth and temperature of phase transition (Trubitsyn et al, 2008a;2008b). Viscosity η(T, p, is a given function of tempera ture, pressure, and strain rate invariant.…”

Section: The Equationsmentioning

confidence: 99%

Numerical model for the generation of the ensemble of lithospheric plates and their penetration through the 660-km boundary

Trubitsyn

2014

Izv., Phys. Solid Earth

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In the kinematic theory of lithospheric plate tectonics, the position and parameters of the plates are predetermined in the initial and boundary conditions. However, in the self consistent dynamical theory, the properties of the oceanic plates (just as the structure of the mantle convection) should automatically result from the solution of differential equations for energy, mass, and momentum transfer in viscous fluid. Here, the viscosity of the mantle material as a function of temperature, pressure, shear stress, and chemical com position should be taken from the data of laboratory experiments. The aim of this study is to reproduce the generation of the ensemble of the lithospheric plates and to trace their behavior inside the mantle by numer ically solving the convection equations with minimum a priori data. The models demonstrate how the rigid lithosphere can break up into the separate plates that dive into the mantle, how the sizes and the number of the plates change during the evolution of the convection, and how the ridges and subduction zones may migrate in this case. The models also demonstrate how the plates may bend and break up when passing the depth boundary of 660 km and how the plates and plumes may affect the structure of the convection. In con trast to the models of convection without lithospheric plates or regional models, the structure of the mantle flows is for the first time calculated in the entire mantle with quite a few plates. This model shows that the mantle material is transported to the mid oceanic ridges by asthenospheric flows induced by the subducting plates rather than by the main vertical ascending flows rising from the lower mantle.

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Section: The Equationsmentioning

confidence: 99%

Numerical model for the generation of the ensemble of lithospheric plates and their penetration through the 660-km boundary

Trubitsyn

2014

Izv., Phys. Solid Earth

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“…Heat transfer in the asthenosphere and layer C will be analyzed as a free convection heat transfer. The asthenospheric layer and layer C are separated by the olivine-wadsleyite phase transition boundary (410 km boundary) [13,14]. Numerical solutions [13] for equal kinematic viscosities on each side of the phase transition have shown that the influence of the phase transition on heat transfer can be neglected.…”

Section: Temperature Distribution In the Asthenosphere And Layer C Beneath A Continentmentioning

confidence: 99%

“…The asthenospheric layer and layer C are separated by the olivine-wadsleyite phase transition boundary (410 km boundary) [13,14]. Numerical solutions [13] for equal kinematic viscosities on each side of the phase transition have shown that the influence of the phase transition on heat transfer can be neglected. The thermophysical model of the asthenosphere is a layer heated at the mid-ocean ridge (MOR) axis and cooled from above (at the lithosphere-asthenosphere boundary).…”

Section: Temperature Distribution In the Asthenosphere And Layer C Beneath A Continentmentioning

confidence: 99%

Temperature distribution in the three-layered upper mantle beneath a continent

Kirdyashkin

Borodin

et al. 2021

J. Phys.: Conf. Ser.

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Temperature distribution in the upper mantle underneath the continent, as well as temperature distribution in the lower mantle, is obtained. In the continental lithosphere, the solution to the heat transfer equation is obtained in the model of conduction heat transfer with inner heat within the crust. To calculate the temperature distribution in the upper and lower mantle, we use the results of laboratory and theoretical modeling of free convective heat transfer in a horizontal layer heated from below and cooled from above.

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“…From literature survey, there are numerous of software and programming packages or simulation have been presented for example; SPOC software [6], G-Optk simulation software [7], EOD program [8], CPO programs [9], Focus software [10], SIMION software [11], and [12], EOS Simulator [13], MEBS software [14], OmniTrak software [15]. For computation and comparison, the one can use Munro's lenses [16] as proposed lenses and supply the lens data to current software in analysis procedure.…”

Section: Introductionmentioning

confidence: 99%

Building a New Software of Electromagnetic Lenses (CADTEL)

Hasan

2013

ILCPA

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The Computer Aided designing Tools for Electromagnetic Lenses (CADTEL) is a new software as application package of programs concept to aid both users and professionals in symmetric and asymmetric electromagnetic lenses with single, double, and multipole piece in electron microscope of electron optics field. The CADTEL software has been designed to run on several computer platforms and includes two types of design procedure. The first one named, analysis procedure (which is based on trial and error) where consist of three sorts called; H1 programs for magnetic scalar potential by solving Laplace's equation [1,2], H2 and H3 programs for magnetic vector potential by solving Poisson's equation [3,4] in linear and non linear media respectively. While the second part, named H4 programs for the synthesis procedure (inverse design). The previous types differ by the obtaining the magnetic flux density, and poles shape, while it is analog by compute and plot the lens properties which are operating at zero, low, high, and infinite magnification conditions (operation modes). CADTEL software consist of computational and plot steps of magnetic field, equipotential surfaces, flux lines, objective and projector properties, and poles shape for proposed lens design which are appear in auto visual interfaces, that are coded in visual basic language [5].

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Phase transition zone width implications for convection structure

Cited by 9 publications

References 9 publications

Numerical model for the generation of the ensemble of lithospheric plates and their penetration through the 660-km boundary

Numerical model for the generation of the ensemble of lithospheric plates and their penetration through the 660-km boundary

Temperature distribution in the three-layered upper mantle beneath a continent

Building a New Software of Electromagnetic Lenses (CADTEL)

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