Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones

Хохлов, Н. И.; Favorskaya, A. V.; Stetsyuk, V.; Mitskovets, Ivan A.

doi:10.1016/j.jcp.2021.110637

Cited by 29 publications

(6 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Figure 3 shows the regular grids and the tetrahedral grids adjacent to the Earth's surface and to the curved interfaces between of the rock layers. The mesh size in the OX and OY directions was set to 12.5 m, and the Figures 4 and 5 show the spatial distributions of the velocity modulus (wave patterns [14]) produced by the combined method and the grid-characteristic method on curvilinear structured grids [9], respectively. Tables 2 and 3 present the results of convergence analysis of the combined method proposed in this paper and the grid-characteristic method on curvilinear structured grids.…”

Section: T σ Rmentioning

confidence: 99%

“…Elastic wave propagation is most frequently modeled by applying modifications of finite-difference methods [3,4], spectral element methods [5,6], and discontinuous Galerkin methods [7,8]. Elastic waves in geological media can also be successfully modeled using the grid-characteristic method [9,10]. Additionally, hybrid approaches are developed for this purpose [11][12][13].…”

mentioning

confidence: 99%

“…Results of convergence analysis of the grid-characteristic method on curvilinear structured grids[9] …”

mentioning

confidence: 99%

See 2 more Smart Citations

Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method

Petrov

Favorskaya²

2022

Dokl. Math.

View full text Add to dashboard Cite

The aim of this work is to develop a hybrid computational method that combines the grid-characteristic method on regular structured grids with the discontinuous Galerkin method on unstructured tetrahedral grids. The proposed method makes it possible to describe integration domains with complex-shaped boundaries and contact boundaries and to calculate seismic fields taking into account the topography of the Earth’s surface, while saving computational resources. This modification of the method in the three-dimensional case has been proposed in this paper for the first time. Examples of using the developed method for calculating elastic wave phenomena arising during seismic prospecting are given. By way of testing, a comparison is made with results produced by the grid-characteristic method on curvilinear structured grids. The proposed hybrid method can be used not only for seismic prospecting, but also for calculating wave phenomena in other objects of complex shape.

show abstract

Section: T σ Rmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method

Petrov

Favorskaya²

2022

Dokl. Math.

View full text Add to dashboard Cite

show abstract

“…Simulation of elastic wave propagation through a fractured zone is a time-consuming and challenging procedure since it must take into account the influence of all the inhomogeneities. This problem can be solved by developing efficient improved numerical methods (e.g., [ 19 , 20 , 21 , 22 , 23 , 24 , 25 ]) or employing models, where the fractured zone with a distribution of cracks is substituted by an equivalent homogeneous or inhomogeneous effective media (e.g., [ 26 , 27 ]). Though some wave phenomena are not taken into account in the models incorporating homogenisation, these models are efficient and suitable for many applications [ 28 , 29 , 30 ].…”

Section: Introductionmentioning

confidence: 99%

Effective Boundary Conditions and Stochastic Crack Distribution for Modelling Guided Waves Scattering by a Partially Closed Interfacial Delamination in a Laminate

Golub

Doroshenko

2023

Materials

View full text Add to dashboard Cite

Cohesive and adhesive bindings degrade during operation and maintenance even if contacting materials in a manufactured laminated structure are perfectly matched at the interfaces. Two modelling approaches for describing partially closed delaminations or imperfect contact zones, which often occurs at the interfaces, are examined and considered. To confirm the adequateness of the applicability of the effective spring boundary conditions for guided wave scattering by a finite length delamination, guided wave propagation through a damaged zone with a distribution of micro-cracks is compared with an equivalent cohesive zone model, where the spring stiffnesses for the effective boundary conditions are calculated using the properties of the considered crack distribution. Two kinds of local interfacial decohesion zones with an imperfect contact at the interfaces are considered: uniform partially closed delaminations and bridged cracks. The possibility of the employment of the effective spring boundary conditions to substitute a distribution of micro-cracks is analysed and discussed. Two algorithms of generation of a distribution of open micro-cracks providing characteristics equivalent to the effective boundary conditions are presented and examined. The influence of the characteristics of a delamination on wave characteristics (eigenfrequencies, eigenforms, transmission coefficient) is investigated for several kinds of partially closed delaminations.

show abstract

“…The advantage of using the local effective medium is that it requires no special treatment of the displacement discontinuity conditions on the fractures. An alternative scheme is the explicit interface scheme that directly treat the displacement discontinuity across each fracture (Zhang, 2005;Cui et al, 2018;Khokhlov, et al, 2021).…”

mentioning

confidence: 99%

Seismic wave modeling of fluid-saturated fractured porous rock: Including fluid pressure diffusion effects of discrete distributed large-scale fractures

Chen

Zhao

et al. 2023

Preprint

View full text Add to dashboard Cite

Abstract. The scattered seismic waves of fractured porous rock are strongly affected by the wave-induced fluid pressure diffusion effects between the compliant fractures and the stiffer embedding background. To include these poroelastic effects in seismic modeling, we develop a numerical scheme for discrete distributed large-scale fractures embedded in fluid-saturated porous rock. Using Coates and Schoenberg’s local effective medium theory and Barbosa’s dynamic linear slip model characterized by complex-valued and frequency-dependent fracture compliances, we derive the effective viscoelastic compliances in each spatial discretized cell by superimposing the compliances of the background and the fractures. The effective governing equations of the fractured porous rock are then characterized by the derived anisotropic, complex-valued, and frequency-dependent effective compliances. We numerically solved the effective governing equations by mixed-grid stencil frequency-domain finite-difference method. The good consistency between the scattered waves off a single horizontal fracture calculated using our proposed scheme and those calculated using the poroelastic linear slip model shows that our modeling scheme can properly include the FPD effects. We also find that for a P-point source, the amplitudes of the scattered waves from a single horizontal fracture are strongly affected by the fluid stiffening effects due to fluid pressure diffusion, while for an S-point source, the scattered waves are less sensitive to fluid pressure diffusion. In the case of the conjugate fracture system, the scattered waves from the bottom of the fractured reservoir and the reflected waves from the underlying formation are attenuated and dispersed by the FPD effects for both P- and S-point sources. The proposed numerical modeling scheme can also be used to improve migration quality and the estimation of fracture mechanical characteristics in inversion.

show abstract

Grid-characteristic method using Chimera meshes for simulation of elastic waves scattering on geological fractured zones

Cited by 29 publications

References 46 publications

Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method

Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method

Effective Boundary Conditions and Stochastic Crack Distribution for Modelling Guided Waves Scattering by a Partially Closed Interfacial Delamination in a Laminate

Seismic wave modeling of fluid-saturated fractured porous rock: Including fluid pressure diffusion effects of discrete distributed large-scale fractures

Contact Info

Product

Resources

About