Егор Лысь - Academia.edu (original) (raw)
Papers by Егор Лысь
Journal of Computational and Applied Mathematics, Jul 1, 2010
Journal of Applied Mechanics and Technical Physics, Sep 1, 2017
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with surrounding medium allowed to be 3D heterogeneous Vertical Transversely Isotropic (VTI) with attenuation and arbitrary source position at any point inside or outside the well. To provide the most precise description of the sharpest interface of the problem the interface of the well, the problem is studied in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition. Data exchange between Processor Units is performed with the help of Message Passing Interface (MPI) library. Results of numerical experiments for VTI media are presented and discussed.
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with – surrounding medium allowed to be 3D vertical transversely isotropic heterogeneous with attenuation and source can be located at any point inside or (VTI) outside the well. To provide the most precise description of the sharpest interface of the problem – the interface of the well, we formulate the problem in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition Data exchange between Processor Units is performed with the help of Message Passing Interface library. Results of numerical experiments for VTI media are presented and discussed.
Proceedings in applied mathematics & mechanics, Dec 1, 2008
Lecture Notes in Computer Science, 2015
The new computational model for the seismic wave propagation is proposed, the governing equations... more The new computational model for the seismic wave propagation is proposed, the governing equations of which are written in terms of velocities, stress tensor and small rotation of element of the medium. The properties of wavefields in the prestressed medium are studied and some examples showing anisotropy of prestressed state are discussed. The staggered grid numerical method is developed for solving the governing equations of the model and numerical examples are presented.
70th EAGE Conference and Exhibition incorporating SPE EUROPEC 2008, 2008
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with – surrounding medium allowed to be 3D vertical transversely isotropic heterogeneous with attenuation and source can be located at any point inside or (VTI) outside the well. To provide the most precise description of the sharpest interface of the problem – the interface of the well, we formulate the problem in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition Data exchange between Processor Units is performed with the help of Message Passing Interface library. Results of numerical experiments for VTI media are presented and discussed.
London 2013, 75th eage conference en exhibition incorporating SPE Europec, 2013
ABSTRACT A basis for the development of numerical framework to modelling seismic wave propagation... more ABSTRACT A basis for the development of numerical framework to modelling seismic wave propagation through prestressed zones is proposed. The governing equations for elastic waves in prestressed media written in stress-velocity formulation supplemented by the small rotation tensor equation are presented. The simplified version of equations is considered, assuming that the initial strain of prestressed state is small. The stress-induced anisotropy of unidirectionally compressed or stretched medium is studied. The rotated staggered grid technique is modified for solving formulated equations and the problem of interaction of the prestressed layer in a homogeneous half plane with elastic waves is solved as a two-dimensional numerical test problem. It is shown that the influence of this layer on the wave field can be significant. The existence of prestressed zones must be taken into account for forward modelling and inversion of seismic waves, especially in seismic travel-time tomography.
SEG Technical Program Expanded Abstracts 2010, 2010
Doklady Earth Sciences, 2013
Journal of Computational and Applied Mathematics, 2010
Linear model for elastic waves propagation through prestressed media based on the general theory ... more Linear model for elastic waves propagation through prestressed media based on the general theory of finite deformations was proposed,. The governing equations in terms of velocities, stress and small rotations are formulated in the form of the first order partial differential equathions system. Presented a kinematic characteristic of the model and numerical simulathion algorithm.
Journal of Computational and Applied Mathematics, Jul 1, 2010
Journal of Applied Mechanics and Technical Physics, Sep 1, 2017
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with surrounding medium allowed to be 3D heterogeneous Vertical Transversely Isotropic (VTI) with attenuation and arbitrary source position at any point inside or outside the well. To provide the most precise description of the sharpest interface of the problem the interface of the well, the problem is studied in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition. Data exchange between Processor Units is performed with the help of Message Passing Interface (MPI) library. Results of numerical experiments for VTI media are presented and discussed.
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with – surrounding medium allowed to be 3D vertical transversely isotropic heterogeneous with attenuation and source can be located at any point inside or (VTI) outside the well. To provide the most precise description of the sharpest interface of the problem – the interface of the well, we formulate the problem in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition Data exchange between Processor Units is performed with the help of Message Passing Interface library. Results of numerical experiments for VTI media are presented and discussed.
Proceedings in applied mathematics & mechanics, Dec 1, 2008
Lecture Notes in Computer Science, 2015
The new computational model for the seismic wave propagation is proposed, the governing equations... more The new computational model for the seismic wave propagation is proposed, the governing equations of which are written in terms of velocities, stress tensor and small rotation of element of the medium. The properties of wavefields in the prestressed medium are studied and some examples showing anisotropy of prestressed state are discussed. The staggered grid numerical method is developed for solving the governing equations of the model and numerical examples are presented.
70th EAGE Conference and Exhibition incorporating SPE EUROPEC 2008, 2008
On the base of the application of a finite-difference approximation of an initial boundary value ... more On the base of the application of a finite-difference approximation of an initial boundary value problem for elastic wave equations (velocity/stress formulation), numerical method and its algorithmic implementation have been developed in order to perform a computer simulation of sonic logging. The very general statement is dealt with – surrounding medium allowed to be 3D vertical transversely isotropic heterogeneous with attenuation and source can be located at any point inside or (VTI) outside the well. To provide the most precise description of the sharpest interface of the problem – the interface of the well, we formulate the problem in cylindrical coordinates with axis directed along the well. In order to truncate area of computations two approaches are used: classical version of Perfectly Matched Layer (PML) and extension on the base of optimal grid. Implementation of parallel computations is done via Domain Decomposition Data exchange between Processor Units is performed with the help of Message Passing Interface library. Results of numerical experiments for VTI media are presented and discussed.
London 2013, 75th eage conference en exhibition incorporating SPE Europec, 2013
ABSTRACT A basis for the development of numerical framework to modelling seismic wave propagation... more ABSTRACT A basis for the development of numerical framework to modelling seismic wave propagation through prestressed zones is proposed. The governing equations for elastic waves in prestressed media written in stress-velocity formulation supplemented by the small rotation tensor equation are presented. The simplified version of equations is considered, assuming that the initial strain of prestressed state is small. The stress-induced anisotropy of unidirectionally compressed or stretched medium is studied. The rotated staggered grid technique is modified for solving formulated equations and the problem of interaction of the prestressed layer in a homogeneous half plane with elastic waves is solved as a two-dimensional numerical test problem. It is shown that the influence of this layer on the wave field can be significant. The existence of prestressed zones must be taken into account for forward modelling and inversion of seismic waves, especially in seismic travel-time tomography.
SEG Technical Program Expanded Abstracts 2010, 2010
Doklady Earth Sciences, 2013
Journal of Computational and Applied Mathematics, 2010
Linear model for elastic waves propagation through prestressed media based on the general theory ... more Linear model for elastic waves propagation through prestressed media based on the general theory of finite deformations was proposed,. The governing equations in terms of velocities, stress and small rotations are formulated in the form of the first order partial differential equathions system. Presented a kinematic characteristic of the model and numerical simulathion algorithm.