Numerical simulation of seismic responses in multilayer geologic media by the grid-characteristic method

Kvasov, I. E.; Pankratov, S. A.; Petrov, I. B.

doi:10.1134/s2070048211020062

Cited by 16 publications

(4 citation statements)

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“…In [15] higher order grid characteristic methods were obtained that satisfied monotonicity criteria pre sented therein. In this paper, we follow the method described in [17,18].…”

Section: Grid Characteristic Methodsmentioning

confidence: 99%

“…First and second order grid characteristic schemes were derived in [1]. A hybrid grid characteristic scheme for the numerical solution of solid mechanic problems was implemented on rectangular meshes in [14] and on triangular meshes in [17,18]. In [15] higher order grid characteristic methods were obtained that satisfied monotonicity criteria pre sented therein.…”

Section: Grid Characteristic Methodsmentioning

confidence: 99%

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High-performance computer simulation of wave processes in geological media in seismic exploration

Kvasov

Petrov

2012

Comput. Math. and Math. Phys.

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A class of problems arising in seismic exploration are investigated, namely, seismic signal propagation in multilayered geological rock and near surface disturbance propagation in massive rock with heterogeneities, such as empty or filled fractures and cavities. Numerical solutions are obtained for wave propagation in such highly heterogeneous media, including those taking into account the plastic properties of the rock, which can be manifested near a seismic gap or a wellbore. All types of explosion generated elastic and elastoplastic waves and waves reflected from fractures and the bound aries of the integration domain are analyzed. The identification of waves in seismograms recorded with near surface receivers is addressed. The grid characteristic method is used on triangular, parallelepi pedal, and tetrahedral meshes with boundary conditions set on the rock-fracture interface and on free surfaces in explicit form. The numerical method proposed is suitable for the study of the interaction between seismic waves and heterogeneous inclusions, since it ensures the most correct design of com putational algorithms on the boundaries of the integration domain and at media interfaces. A parallel software code implemented with the help of OpenMP and MPI was used to execute computations on parallelepipedal and tetrahedral grids.

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“…In [15] higher order grid characteristic methods were obtained that satisfied monotonicity criteria pre sented therein. In this paper, we follow the method described in [17,18].…”

Section: Grid Characteristic Methodsmentioning

confidence: 99%

Section: Grid Characteristic Methodsmentioning

confidence: 99%

High-performance computer simulation of wave processes in geological media in seismic exploration

Kvasov

Petrov

2012

Comput. Math. and Math. Phys.

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“…It showed the ability of modeling complex wave processes in multilayers media (Petrov et al, 1989). This method works well for solving problems of essentially heterogeneous media (Kvasov et al, 2010). The possibility of explicit modeling of surface waves (Rayleigh and Love) (Khokhlov et al, 2011) was showed previously.…”

Section: Introductionmentioning

confidence: 93%

Precise Modeling of Seismic Responses from Fractured Geological Media

Golubev

2014

SPE Annual Technical Conference and Exhibition

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The goal of this article is the investigation of seismic responses from fractured medium through the precise simulation of dynamic processes in heterogeneous elastic media. The base of the method proposed is the direct solution of a system of elastic equations in full 3D case. For describing the geometry of rock massif parallelepided meshes are used. For taking into account the internal mathematical features of the govern system of eqations the grid-characteristic method is used. It allows us to set correct boundary conditions and to describe full set of elastic seismic waves: Rayleigh and Love surface waves and all body waves. In this work the direct modeling of the internal geometry of fractured media is used. All cracks consist of two parallel borders and contain two different saturators: nothing and fluid. In the first case the corrector for setting of day-surface (normal zero-force) condition is used and in the second one -the approach of free gliding is used. With the usage of proposed method the seismic response from a set of 31 vertical geological cracks was obtained. This cluster was placed at 2 km below the day-surface and has fractured density equals to 1 crack \ 100 m. Dynamic wave fields for successive times were obtained and synthetic multi-component seismograms were drawn. The detailed analysis of these results provided interesting facts. The main part of the seismic response from a system of geological cracks consists of complex combination of scattered P-waves and S-waves. The intensity of reflected waves is less than the intensity of propagated waves approximately by the factor of 1,8 for empty cracks and 0,2 for fluid-filled cracks. In general, seismic response from empty cracks is significantly higher than from fluid-filled cracks. The dominant component of seismic response for empty cracks is the S-wave registered on X-component, for fluid-filled cracks -P-wave registered on Z-component. After the arrival of first responces of P ans S-waves following them tail may be clearly identified connected with the crack-crack interaction.

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“…We used a grid-characteristic method on curvilinear structural grids, which makes it possible to efficiently solve the tasks of monitoring the state of the railway embankment and paths, including taking into account the large number of integrity violations, to take into account the dynamic interactions in the system of rolling stock -the path, to obtain a complete wave pattern. hyperbolic and a high-precision calculation of wave processes is required, it is optimal to use the grid-characteristic method [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of the Process of Detection of Karst Cavities in Railway Embankments by a Grid-Characteristic Method

Egiyan¹,

Favorskaya²,

Mkrtchyan³

et al. 2017

RENSIT

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Numerical simulation of seismic responses in multilayer geologic media by the grid-characteristic method

Cited by 16 publications

References 1 publication

High-performance computer simulation of wave processes in geological media in seismic exploration

High-performance computer simulation of wave processes in geological media in seismic exploration

Precise Modeling of Seismic Responses from Fractured Geological Media

Numerical Modeling of the Process of Detection of Karst Cavities in Railway Embankments by a Grid-Characteristic Method

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