Search results for: A. V. Favorskaya

Items from 1 to 19 out of 19 results

article

The Use of Full-Wave Numerical Simulation for the Investigation of Fractured Zones

A. V. Favorskaya, I. B. Petrov

Mathematical Models and Computer Simulations > 2019 > 11 > 4 > 518-530

In this paper, we describe the stages and results of investigating the features of oil-saturated fractured zones through the analysis of the spatial dynamic wave patterns obtained by supercomputer-aided modeling with the grid-characteristic method. Full-wave modeling is employed in geophysics to construct synthetic seismograms and to solve inverse problems. In this paper, we demonstrate that the analysis...

article

Numerical Modeling of Wave Processes in Rocks by the Grid-Characteristic Method

A. V. Favorskaya, I. B. Petrov

Mathematical Models and Computer Simulations > 2018 > 10 > 5 > 639-647

The aim of this work is to study the spatial dynamic of wave propagation in rock formations, taking into account ravines and caverns. The dynamics of the seismic and acoustic waves generated by explosions of different types is investigated using seismograms measured by several reception lines. The research uses the numerical experiments using the full-wave joint simulation of acoustic and seismic...

article

Modeling of Ultrasonic Waves in Fractured Rails with an Explicit Approach

A. V. Favorskaya, S. V. Kabisov, I. B. Petrov

Doklady Mathematics > 2018 > 98 > 1 > 401-404

Ultrasonic wave propagation in steel rails with explicit identification of flaws is numerically simulated. The problem is to detect a vertical crack in a railhead by applying ultrasonic nondestructive testing techniques. The propagation of elastic waves in the rail profile is simulated for various sizes and positions of the crack. It is shown that the finite-difference grid-characteristic method in...

article

Study of Seismic Isolation by Full-Wave Numerical Modeling

A. V. Favorskaya, I. B. Petrov

Doklady Earth Sciences > 2018 > 481 > 2 > 1070-1072

Seismic isolation (isolation of the foundation) is one of the methods to increase the earthquake resistance of buildings. It is shown that full-wave numerical modeling can be used for studying the efficiency of various designs of seismic isolation. We investigated how earthquake resistance of the building studied is affected by adjacent objects with contrasting elastic properties (seismic isolation...

article

Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves

I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov

Computational Mathematics and Mathematical Physics > 2017 > 57 > 11 > 1771-1777

The grid-characteristic method on a sequence of embedded hierarchical grids is used to study the reflection and diffraction of elastic seismic waves propagating from an earthquake hypocenter to the Earth’s surface. More specifically, the destruction caused by seismic waves in complex heterogeneous structures, such as multi-story buildings, is analyzed. This study is based on computer modeling with...

article

Numerical modeling of dynamic wave effects in rock masses

A. V. Favorskaya, I. B. Petrov

Doklady Mathematics > 2017 > 95 > 3 > 287-290

Spatial dynamic wave effects occurring in rocks with ravines and caverns were studied. The influence exerted by the explosion type and the cavern-to-ravine distance on the formation of spatial dynamic wave patterns and seismograms was analyzed in the case of horizontal and vertical reception lines. The gridcharacteristic method and the full wave joint numerical modeling of elastic and acoustic waves...

article

Wave responses from oil reservoirs in the Arctic shelf zone

A. V. Favorskaya, I. B. Petrov

Doklady Earth Sciences > 2016 > 466 > 2 > 214-217

We consider the appearance of scattered PP-waves, SS-waves, scattered converted PS-waves, and SP-waves reflected from the reservoirs in the Arctic shelf zone and wave responses from them in the water column when the source and receiver are located near the water surface. We obtained a numerical solution of the direct problems of seismic prospecting in the shelf zone with a reservoir and without it...

article

A study of high-order grid-characteristic methods on unstructured grids

A. V. Favorskaya, I. B. Petrov

Numerical Analysis and Applications > 2016 > 9 > 2 > 171-178

In this paper, grid-characteristic methods for solving hyperbolic systems using approximation with high-order interpolation on unstructured tetrahedral and triangular grids are studied. Interpolation methods of order from 1 through 5 inclusive are considered. One-dimensional finite difference schemes for these methods are presented. The stability of these schemes is investigated. The grid-characteristic...

article

Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method

D. I. Petrov, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov

Computational Mathematics and Mathematical Physics > 2016 > 56 > 6 > 1128-1141

The goal of this paper is the numerical solution of direct problems concerning hydrocarbon seismic exploration on the Arctic shelf. The task is addressed by solving a complete system of linear elasticity equations and a system of acoustic field equations. Both systems are solved by applying the grid-characteristic method, which takes into account all wave processes in a detailed and physically correct...

article

Numerical modeling of wave processes in layered media in the Arctic region

A. V. Favorskaya, I. B. Petrov, D. I. Petrov, N. I. Khokhlov

Mathematical Models and Computer Simulations > 2016 > 8 > 4 > 348-357

The aim of this work is the numerical simulation of wave propagation in media with linear-elastic and acoustic layers as exemplified by the seismic prospecting problems in the Arctic region and the explosive impact on an iceberg. The complete system of equations describing the state of a linearly elastic body and the system of equations describing the acoustic field are solved. The grid-characteristic...

article

Combined method for the numerical solution of dynamic three-dimensional elastoplastic problems

I. B. Petrov, A. V. Favorskaya, A. V. Shevtsov, A. V. Vasyukov, more

Doklady Mathematics > 2015 > 91 > 1 > 111-113

Original Russian Text © I.B. Petrov, A.V. Favorskaya, A.V. Shevtsov, A.V. Vasyukov, A.P. Potapov, A.S. Ermakov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 460, No. 4, pp. 389–391.

article

Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers

V. A. Biryukov, M. V. Muratov, I. B. Petrov, A. V. Sannikov, more

Computational Mathematics and Mathematical Physics > 2015 > 55 > 10 > 1733-1742

Seismic responses from fractured geological layers are mathematically simulated by applying the grid-characteristic method on unstructured tetrahedral meshes with the use of high-performance computer systems. The method is intended for computing complicated spatial dynamical processes in complex heterogeneous media and is characterized by exact formulation of contact conditions. As a result, it can...

article

Monitoring the state of the moving train by use of high performance systems and modern computation methods

I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, V. A. Miryakha, more

Mathematical Models and Computer Simulations > 2015 > 7 > 1 > 51-61

The objective of this work has been to study the propagation of elastic waves in rails. It presents the comparison of calculations obtained by the grid-characteristic and discontinuous Galerkin methods. The propagation of elastic waves in the presence and absence of the karst inclusion in the ground under the embankment, diagnosed in these cases from the rails, are compared. The wave pictures and...

article

Grid-characteristic method on unstructured tetrahedral grids

I. B. Petrov, A. V. Favorskaya, M. V. Muratov, V. A. Biryukov, more

Doklady Mathematics > 2014 > 90 > 3 > 781-783

Original Russian Text © I.B. Petrov, A.V. Favorskaya, M.V. Muratov, V.A. Biryukov, A.V. Sannikov, 2014, published in Doklady Akademii Nauk, 2014, Vol. 459, No. 4, pp. 406–408.

article

Numerical simulation of wave propagation in anisotropic media

I. B. Petrov, A. V. Favorskaya, A. V. Vasyukov, A. S. Ermakov, more

Doklady Mathematics > 2014 > 90 > 3 > 778-780

Original Russian Text © I.B. Petrov, A.V. Favorskaya, A.V. Vasyukov, A.S. Ermakov, K.A. Beklemysheva, A.O. Kazakov, A.V. Novikov, 2014, published in Doklady Akademii Nauk, 2014, Vol. 459, No. 3, pp. 285–287.

article

Grid-characteristic method on unstructured tetrahedral meshes

M. V. Muratov, I. B. Petrov, I. V. Sannikov, A. V. Favorskaya

Computational Mathematics and Mathematical Physics > 2014 > 54 > 5 > 837-847

The goal of this paper is to develop a grid-characteristic method intended for high-performance computer systems and implemented on unstructured tetrahedral hierarchical meshes with the use of a multiple time step and high-order interpolation, including interpolation with a limiter, piecewise parabolic interpolation, and monotone interpolation. The method is designed for simulating complex three-dimensional...

article

Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems

A. V. Vasyukov, A. S. Ermakov, A. P. Potapov, I. B. Petrov, more

Computational Mathematics and Mathematical Physics > 2014 > 54 > 7 > 1176-1189

A combined method blending the advantages of smoothed particles hydrodynamics (SPH) and the grid-characteristic method (GCM) is proposed for simulating elastoplastic bodies. Various grid methods, including the GCM, have long been used for the numerical simulation of elastoplastic media. This method applies to the simulation of wave processes in elastic media, including elastic impacts, in which case...

article

Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method

K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya

Mathematical Models and Computer Simulations > 2014 > 6 > 3 > 294-304

Several problems of dynamic deformation in the presence of movable contacting surfaces are considered. A grid-characteristic method is adapted using two-dimensional irregular triangular grids and a hybrid scheme of the first or second order of approximation. An algorithm for the calculation of sliding and static friction is proposed. We obtained the numerical solution for problems of wheel rolling,...

article

Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step

I. B. Petrov, A. V. Favorskaya, A. V. Sannikov, I. E. Kvasov

Mathematical Models and Computer Simulations > 2013 > 5 > 5 > 409-415

The purpose of the present paper is to develop a grid-characteristic method for high-performance computer systems using unstructured tetrahedral hierarchical meshes, a multiple time step and the high-order interpolation for simulating complex spatial dynamic processes in heterogeneous environments. This method has the precise formulation of contact conditions and is suitable for the physically correct...

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Keywords

GRID-CHARACTERISTIC METHOD (12)
NUMERICAL SIMULATION (7)
HIGH-ORDER INTERPOLATION (3)
HIGH-PERFORMANCE COMPUTER SYSTEMS (3)
PARALLEL ALGORITHMS (3)
HIERARCHICAL GRIDS (2)
ICEBERGS (2)
NUMERICAL MODELING (2)
SEISMIC EXPLORATION (2)
SEISMIC WAVES (2)
SEISMOLOGY (2)
UNSTRUCTURED TETRAHEDRAL MESHES (2)
ACOUSTIC MEDIA (1)
AND SEISMIC SURVEY (1)
ARCTIC SHELF SEISMIC PROSPECTING (1)
COLLISION DETECTION (1)
COMBINED METHOD (1)
CRACK DETECTION (1)
DELAUNAY TRIANGULATION (1)
DISCONTINUOUS GALERKIN METHOD (1)
DYNAMIC CONTACT (1)
ELASTIC WAVES (1)
FRACTURED MEDIA (1)
FRACTURED ZONES (1)
FRICTION FORCE (1)
HETEROGENEOUS MEDIA (1)
HIERARCHICAL MESHES (1)
IRREGULAR GRIDS (1)
LINEAR ELASTIC MEDIA (1)
MONITORING THE ROLLING-STOCKS (1)
MULTIPLE TIME STEP (1)
ROCK FORMATIONS (1)
SEISMIC EXPLORATION ON ARCTIC SHELF (1)
SEISMIC PROSPECTING (1)
SEISMIC RESISTANCE (1)
SEISMIC SURVEYS (1)
SEISMOGRAMS (1)
SMOOTHED PARTICLES HYDRODYNAMICS (1)
SPATIAL DYNAMIC WAVE PROCESSES (1)
SUPERCOMPUTER-AIDED MODELING (1)
SYSTEM OF WAVE EQUATIONS (1)
TETRAHEDRAL GRIDS (1)
THE MECHANICS OF DEFORMABLE SOLIDS (1)
THREE-DIMENSIONAL DYNAMICAL PROBLEMS (1)
UNSTRUCTURED GRIDS (1)
UNSTRUCTURED MESHES (1)
WAVE DYNAMICS (1)
WEIGHT-DROP METHOD (1)
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INFONA - science communication portal

Search results for: A. V. Favorskaya

The Use of Full-Wave Numerical Simulation for the Investigation of Fractured Zones

Numerical Modeling of Wave Processes in Rocks by the Grid-Characteristic Method

Modeling of Ultrasonic Waves in Fractured Rails with an Explicit Approach

Study of Seismic Isolation by Full-Wave Numerical Modeling

Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves

Numerical modeling of dynamic wave effects in rock masses

Wave responses from oil reservoirs in the Arctic shelf zone

A study of high-order grid-characteristic methods on unstructured grids

Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method

Numerical modeling of wave processes in layered media in the Arctic region

Combined method for the numerical solution of dynamic three-dimensional elastoplastic problems

Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers

Monitoring the state of the moving train by use of high performance systems and modern computation methods

Grid-characteristic method on unstructured tetrahedral grids

Numerical simulation of wave propagation in anisotropic media

Grid-characteristic method on unstructured tetrahedral meshes

Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems

Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method

Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step

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