Alexey Babichev

V.S. Sobolev Institute of Geology and Mineralogy · Lab 440

Using 3D numerical modeling, we analyze the formation of postcollisional granitoids of the Kara orogen in Northern Taimyr under conditions of elevated heat flow due to the orogen's breakup prior to its mantle plume episode (280-250 Ma). The initial geometry of the model area, the boundary conditions and physical properties for the crust and the man...

На основании предложенной численной модели напряженно-деформированного состояния полиминерального вещества, описывающей формирование бластомилонитов Приенисейской региональной сдвиговой зоны (ПРСЗ) в Енисейском кряже, показана возможность превышения давления над литостатическим в локальном масштабе в породах, попавших в условия сдвиговых деформаций...

We report study results of basic intrusive bodies in the middle Paleozoic Vilyui paleorift (eastern Siberian Platform). Geochemical data for basic sills penetrated by boreholes in the rift’s dike swarms are presented, as well as our data on the time of formation of sills and dikes. We also studied mineral-hosted melt inclusions from a dolerite dike...

We present a tectonothermal model showing the evolution of magmatism during the late Paleozoic postcollisional (pre-plume) development stage of the Kara orogen in northern Taimyr, Central Arctic. The model is based on new and published structural, petrologic, geochemical and geochronological data, as well as thermophysical parameters obtained for t...

Abstract—The paper presents a reconstruction of metamorphic stages in the Moren and Erzin metamorphic complexes in the Khan-Khuhay block of northern Mongolia. This reconstruction is used as a basis for discussing the general geodynamic history of the Sangilen terrain of the Tuva–Mongolia Massif. The calculated clockwise P–T path shows two stages of...

Based on the proposed numerical model of the stress-strain state of polymineral rocks, which describes the formation of blastomylonites in the Yenisei Regional Shear Zone (PRSZ) in the Yenisei Ridge, the possibility of local tectonic overpressure exceeding the lithostatic pressure in rocks subjected to shear deformations is shown. For tectonites of...

Abstract–-Based on the proposed numerical model of the stress-strain state of polymineral rocks, which describes the formation of blastomylonites in the Yenisei Regional Shear Zone (YRSZ) in the Yenisei Ridge, the possibility of local tectonic overpressure exceeding the lithostatic pressure in rocks subjected to shear deformations is shown. For tec...

A reconstruction of metamorphic stages of Moren and Erzin metamorphic Complexes in the Khan-Khuhay block of Nothern Mongolia presented in the paper. Based on it a general geodynamic history of Sangilen terrain of Tuva-Mongolia Massif discussed. Reconstructed “clock-wise” P-T trend demonstrated two stage of metamorphism, the first of which is due to...

Geological examples of the development of thermal dome structures in the Svecofennian belt demonstrate the relationship between plutonic and metamorphic events and metamorphic strengthening towards the core parts of the structures. The corresponding 2D geological model has been created to make a quantitative assessment of the effect of mantle magma...

Here we present a tectonothermal model for the early Paleozoic syncollisional formation stage of the Kara orogen in northern Taimyr in the Central Arctic. The model is based on new and published structural, petrological, geochemical and geochronological data, as well as thermophysical properties obtained for the Kara orogen. The latter hosts a sign...

Abstract—A thermo-mechanical numerical model of subduction and subsequent ascent of continental metasediments to the crust has been proposed. The model of the “cold” subduction describes the mechanism of the formation of high-pressure metamorphic complexes, which are a mixture of metapelites and metabasites, the positively and negatively buoyant (r...

Deviations of the РТ parameters from the background values, corresponding to the lithostatic pressure and the standard geotherm characteristic of the neighboring crustal blocks of the Yenisei Ridge, were recorded by geothermobarometry in the zones of dislocation metamorphism of the Yenisei regional shear zone (Eastern Siberia). To explain the reaso...

The standard molecular mechanics (MM) method with the DREIDING force field (see Mayo et al. The Journal of Physical Chemistry, 1990, 94: 8897–8909) and the molecular structural mechanics (MSM) method with Bernoulli–Euler beam elements are used to study the quasi-static nonlinear buckling and post-buckling behavior of a compressed nearly square sing...

A model of the formation of the Teletskoe-Chulyshman metamorphic belt (TCMB) in Gorny Altai has been elaborated. The estimated pressure (not exceeding 3-4 kbar) and temperature (about 740 ºС) indicate an increased regional crustal thermal gradient equal to 60-90 ºС/km during the formation of the metamorphic belt. The age of migmatites of the Chulys...

The heat release effect was estimated due to friction in faults under shear and thrust conditions by mathematical modeling, 3D and 2D thermomechanical numerical models were developed. The equations of solid mechanics in a coupled formulation were solved: the equations of mechanical equilibrium and the equation of heat transfer. The model of an elas...

The tectonomagmatic evolution of the Sangilen massif has been described in detail in numerous publications, but little attention was given to heat sources related to the HT/LP metamorphism. Modeling of the magma transport to the upper‐crust levels in West Sangilen shows that the NT/LP metamorphism is related to gabbromonodiorite intrusions. This ar...

The effect of heat generation due to friction in faults under the conditions of shear and thrust was evaluated by computer modeling, and 3D and 2D thermomechanical numerical models were developed. The equations of solid mechanics in a coupled formulation were solved: the equations of mechanical equilibrium and the equation of thermal conductivity....

С помощью математического моделирования была сделана оценка эффекта тепловыделения за счёт трения в разломах в условиях сдвига и надвига, разработаны 3D-и 2D-термомеханические численные модели. Решались уравнения механики деформируемого твёрдого тела (МДТТ) в связной постановке: уравнения механического равновесия и уравнения теплопроводности. Испол...

Spurrite-merwinite marbles on the right bank of the Kochumdek River in the Podkamennaya Tunguska basin formed along the top margin of a flood basalt intrusion (Kuzmovka complex) from a marly limestone protolith of the Rhuddanian Lower Kochumdek Subformation, at a pressure of ~200 bars. The contact metamorphic aureole comprises four zones of success...

The molecular structural mechanics (MSM) method is developed by applying beam elements to model bonded interactions between carbon atoms in the atomic lattices of single-layer graphene sheets (SLGSs). The novelty of the approach developed in this paper lies in the accurate adjustment of the geometric and material parameters of Bernoulli–Euler beam...

Possible mechanisms of rifting and the thermal regime of the lithosphere beneath the rift zone of the Vilyui sedimentary basin are considered based on the available isotopic ages of dike swarms, rates of sedimentation, and results of numerical modeling. Temporal correlations between the intrusion of mafic magma and a sharp increase in the rate of s...

Molecular mechanics/molecular dynamics (MM/MD) methods are widely used in computer simulations of deformation (including buckling, vibration, and fracture) of low-dimensional carbon nanostructures (single-layer graphene sheets (SLGSs), single-walled nanotubes, fullerenes, etc). In MM/MD simulations, the interactions between carbon atoms in these na...

The rate of mineral transformations in rocks near magmatic intrusions may be estimated using mathematical modeling for study of the duration of metamorphism and geological and mineralogical data. At the contacts of the Anakit trappean massif on the Nizhnyaya Tunguska River, where the temperature reached 900°C, the rate of growth of a wollastonite r...

Diapirism can be regarded as the main mechanism of transport through the lithosphere for both felsic and mafic/ultramafic magmas. However, the lack of field observations makes it difficult to identify the key mechanism responsible for the formation of dome-shaped structures. In this study, emplacement of natural diapirs is reconstructed by numerica...

A mathematical model based on thermomechanical equations of mechanics of deformable solids was suggested to study the mechanism of collision and metamorphism in rocks of the Mongolian Altai orogen. The problem of crust deformation and distribution of the P–T parameters of metamorphism in the Tsogt block in the course of convergence of the Edren isl...

This paper presents a quasi-static nonlinear buckling analysis of compressed single-layer graphene sheets (SLGSs) using the molecular mechanics method. Bonded interactions between carbon atoms are simulated using a modified parameter set of the DREIDING force field that leads to better agreement between simulated mechanical properties of graphene a...

The numerical model of mantle diapirism and active rifting is developed. The model describes the possibility of extension and thinning of the Earth’s crust under the action of a local 100-km long heat source in the sublithospheric mantle, which causes melting and rising of the magmatic diapir through the cratonic lithosphere. The model combines the...

The results of numerical mathematical modeling of rock deformations under compression are given. The numerical solutions are obtained using discretization of the equations of the solid mechanics with the finite element method. The model of an ideal elastic-plastic material with a Huber-Mises yield surface was used in the calculations. The layered m...

The molecular mechanics method is used to determine both eigenfrequencies and modes of vibrations and the critical compressing loads and buckling modes of graphene sheets. To simulate interatomic interactions in graphene, the DREIDING field of potential forces is used. This field includes four types of potential energies of covalent atomic interact...

Abstract The Late Paleozoic and Mesozoic history of high-latitude petroleum and coal basins is investigated and compared with the history of plume magmatism in the same areas. The sedimentation rates in all discussed cases are proven to be the fastest (more than 100 m per 1 Ma) during rifting events. Other peaks of rapid deposition may be associate...

Results of modeling of the formation of the Vilyui sedimentary basin are presented. We combine backstripping reconstructions of sedimentation and thermal regime during the subsidence with a numerical simulation based on the deformable solid mechanics. Lithological data and stratigraphic sections were used to “strip” the sedimentary beds successivel...

The molecular mechanics (MM) method is used to determine the frequencies and natural vibration shapes and to determine the buckling critical parameters and the postcritical deformation shapes of single-walled carbon nanotubes with twisted ends. The following two variants of the MM method are used: the standard MM method and the mixed method of mole...

The collision of earth's crustal plates is modeled mathematically based on a numerical solution of the equations of deformable solid mechanics using a finite element method with the MSC software. The interaction of the plates with each other and with the mantle is described by the solution of the contact problem with an unknown contact boundary bet...

This paper reports the results of the numerical modeling of gravitationally instable processes in the lithospheric mantle of ancient cratons. The gravitational instability is considered as a result of melting at the lithosphere base owing to its local heating by anomalous mantle. Modeling was based on a finite element method in 2D formulation and t...

Stubility/instability criteria of discrete elastic systems are used to study the buckling of nanostructures. The deformation of nanostructures is simulated by solving the nonlinear equations of molecular mechanics. The external forces applied to the nanostructure are assumed to be dead (that is the directions of their action remain constant through...

The influence of the choice of the type of yield surface for elastoplastic materials and material constants for the slab and the mantle on the scenario of mathematical modeling of the slab collision is investigated. Computer simulation is performed by the FEM numerical solution of nonlinear equations for deformable solid mechanics, using the MSC.Ma...

We develop procedures of numerical solution of nanostructure contact problems, which are based on the time discretization of nonlinear equations of molecular mechanics. The matrices and vectors of these equations are determined by using the Morse law of covalent atomic interaction, the fictitious rod elements to take account of angular variations b...

Computer simulation of subduction was performed using nonlinear equations of deformable solid mechanics encompassing all types of nonlinearity: geometric, physical, and contact. This study presents a numerical model of subduction with allowance for the gabbro-to-eclogite phase transition. The model rheology is a plastic compressible material (Mohr-...

This paper is devoted to the modeling the granite gneiss formation by means of diapiric upwelling. The natural examples of granitic diapirism in the Precambrian granite-greenstone belts and complexes of metamorphic cores are described. A new approach is proposed to describe the partial melting and development of gravity instability in the crustal g...

A method of model calculations for the approximate estimation of the emplacement depth of magmatic intrusive body based on data for the distribution of isotherms in the near-intrusive area is proposed. Isotherms are maximums of respective temperatures reached when exocontact rocks are heated at a different time; some of them represent isogrades. Th...

Stability criteria for nanostructure deformation based on the nonlinear equations of molecular mechanics are developed. The external forces applied to the nanostructure are assumed to be dead (that is the directions of their action remain constant throughout nanostructure deformation. We show that the positive-definiteness property of the tangentia...

We come up with a mathematical simulation of a collision between lithospheric slabs (plates) where one slab is forced into the mantle beneath another. Problems of the Earth’s crust and mantle deformation are solved numerically: for spatial discretization of equations of deformable solid mechanics, a finite-element method is used, and for evolution...

We develop procedures for solving the problems of dynamic nanostructure deformation and buckling numerically. The procedures are based on discretization with respect to time of the nonlinear equations of molecular mechanics whose matrices and vectors are determined using the Morse potential for the central forces of interaction between atoms and fi...

The Altai lithospheric structure has been generally understood due to available high-resolution digital models. As a further step in modeling, we have simulated the structure of southeastern Altai as interaction of eight blocks which comprise or surround the Chuya and Kurai basins, proceeding from the basic configuration of blocks and earthquake me...

A new point of view describing processes of partial melting and development of gravitational instability in a thickening crust with increased thickness of the granite layer is suggested. Numeral experiments support the following main conclusions. The critical volume of partially melted material should be formed for the beginning of flotation in a g...

the existence of interacting geological bodies: subduction slab, underlying mantle, and rigid continental crust. In contrast to the aforementioned models, in which the subduction plate may be determined at a depth only rather conditionally, the proposed approach allows exact location of all interfaces between geological bodies and provides tracing...

The models and results of visualization of mathematical modeling of quasi-static/dynamic deformation of a nanotube subject to twisting are presented. Automating the model construction and visualization of numerical simulation have been carried out using the software packages MSC Patran 2007 and VMD, and the programming languages PCL and TCL. The ad...