Igor Tsepelev

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

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Alik Ismail‐Zadeh

Karlsruhe Institute of Technology

Alexander Korotkii

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Oleg Melnik

Lomonosov Moscow State University

G. Schubert

Planetary Science Institute

A. Ismail-Zadeh

Azerbaijan National Academy of Sciences

Illya Starodubtsev

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Natalya Zeinalova

Karlsruhe Institute of Technology

Yulia Starodubtseva

Russian Academy of Sciences

D. A. Kovtunov

Institute of Earthquake Prediction Theory and Mathematical Geophysics

Satoru Honda

The University of Tokyo

Cooperative Institutions

Institute of Earthquake Prediction Theory and Mathematical Geophysics

Russian Academy of Sciences

Ural Branch of the Russian Academy of Sciences

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Karlsruhe Institute of Technology

Ural Federal University

Helmholtz Centre Potsdam - GFZ German Research Centre for Geosciences

Czech Academy of Sciences, Institute of Mathematics

University of California, Los Angeles

Universidad de Colima

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Three-Dimensional Numerical Modeling of Lava Dynamics Using the Smoothed Particle Hydrodynamics Method

Journal of Volcanology and Seismology (2023)

Illya Starodubtsev Y. V. Starodubtseva Igor Tsepelev Alik Ismail‐Zadeh

Lava dome

Smoothed Particle Hydrodynamics

Effusive eruption

10.1134/s0742046323700185

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Citations (2)

Boundary condition optimal control problem in lava flow modelling

EGU General Assembly Conference Abstracts (2016)

Alik Ismail‐Zadeh Alexander Korotkii Igor Tsepelev D. A. Kovtunov Oleg Melnik

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Data-Driven Numerical Modelling in Geodynamics: Methods and Applications

SpringerBriefs in earth sciences (2016)

Alik Ismail‐Zadeh Alexander Korotkii Igor Tsepelev

geodynamics

10.1007/978-3-319-27801-8

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Citations (8)

Quasi-reversibility method for data assimilation in models of mantle dynamics

Geophysical Journal International (2007)

Alik Ismail‐Zadeh Alexander Korotkii G. Schubert Igor Tsepelev

Rapid progress in imaging deep Earth structures using seismic tomography and in studies of physical and chemical properties of mantle rocks facilitates research in assimilation of data related to mantle dynamics. In this paper, we present a new numerical approach for data assimilation, which allows for incorporating observations (at present) and unknown initial conditions (in the past) for mantle temperature and flow into a 3-D dynamic model in order to determine the initial conditions. The dynamic model is described by the backward heat, motion and continuity equations. The use of the quasi-reversibility (QRV) method implies the introduction into the backward heat equation of the additional term involving the product of a small regularization parameter and a higher order temperature derivative. The data assimilation in this case is based on a search of the best fit between the forecast model state and the observations by minimizing the regularization parameter. We apply the QRV data assimilation method to restore the evolution of (i) mantle plumes (a synthetic case study) and (ii) the lithospheric slab imaged by teleseismic body-wave tomography in the southeastern Carpathians. For both models the present temperature and mantle flow are assimilated to the geological past, and the prominent features of mantle structures are recovered. We then model the evolution of the mantle structures forward in time starting from the restored state to the present state and estimate the accuracy of the model predictions. The results of the QRV data assimilation are compared to that obtained by the variational (VAR) and backward advection data assimilation. Although the accuracy of the QRV data assimilation is lower than that of the VAR data assimilation, the QRV method does not require any additional smoothing of the input data or filtering of temperature noise as the VAR method does. Based on the results and the comparison of the methods, we consider the QRV method to be a highly promising approach to assimilation of data related to mantle dynamics.

Hotspot (geology)

Seismic Tomography

10.1111/j.1365-246x.2007.03496.x

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Citations (28)

Descending Lithosphere Beneath the SE-Carpathians: An Insight From the Past

AGU Fall Meeting Abstracts (2007)

A. Ismail-Zadeh G. Schubert Igor Tsepelev Alexander Korotkii

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A Reconstruction of Mantle Plume Evolution by Optimal Heat and Mass Transportation: Impact of Mantle Diffusion and Viscosity

AGUFM (2004)

A. Ismail-Zadeh G. Schubert Igor Tsepelev Alexander Korotkii

Mantle plume

Hotspot (geology)

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Application of the QRV Method to Modelling of Plate Subduction

SpringerBriefs in earth sciences (2016)

Alik Ismail‐Zadeh Alexander Korotkii Igor Tsepelev

geodynamics

Thermal state

Seismic Tomography

10.1007/978-3-319-27801-8_6

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Thermal evolution and geometry of the descending lithosphere beneath the SE-Carpathians: An insight from the past

Earth and Planetary Science Letters (2008)

Alik Ismail‐Zadeh G. Schubert Igor Tsepelev Alexander Korotkii

Slab

Thermal state

Slab window

Seismic Tomography

10.1016/j.epsl.2008.06.012

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Citations (32)

Morphology of lava domes inferred from numerical modeling

Alik Ismail‐Zadeh Oleg Melnik Igor Tsepelev

<p>Several types of lava dome morphology can be distinguished depending on the flow rate and the rheology of magma. At an endogenous regime, magma is embedded inside the dome and fresh magma is not extruded on the surface; vice versa, at an exogenous regime, a fresh lava is extruded, and a lava obelisk is of particular interest. Sometimes obelisks reach hundreds of meters in height before they collapse. We present models of magma extrusion on the surface and lava dome evolution to analyze morphology of the domes. For this aim, we consider a flow of a Newtonian and non-Newtonian viscous inhomogeneous incompressible fluid in the field of gravity. The flow is described by the Navier-Stokes equations, the continuity equation, the transport equation of a two-component incompressible fluid, the heat conduction equation, and the rheological law. The lava viscosity in our models depends on the crystals concentration, temperature, and the rate of shear deformation. We show that the morphology of the domes depends on the characteristic time of crystal growths in the magma and on the rate of magma extrusion. In this case, obelisks are formed at a small value of the characteristic time of growth of crystals and/or low extrusion rates. At high values of the characteristic time and high extrusion rates, magma spreads over the surface after an eruption.</p>

Lava dome

Magma chamber

Dome (geology)

10.5194/egusphere-egu2020-1962

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Restoring lithospheric slab dynamics and mantle evolution beneath the Japanese islands

EGU General Assembly Conference Abstracts (2014)

Alik Ismail‐Zadeh Satoru Honda Igor Tsepelev

Slab

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