Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes

DOI10.1134/S0965542515030082zbMath1426.74169OpenAlexW2040360574MaRDI QIDQ2354469

Yanyan Li

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515030082

zbMATH Keywords

hyperbolic equationvertical crackempty crackfluid-saturated crack

Mathematics Subject Classification ID

Brittle fracture (74R10) Bulk waves in solid mechanics (74J10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Soil and rock mechanics (74L10) Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (8)

The numerical modeling of the elastic waves propagation in the geological media with gas cavities using the grid-characteristic method ⋮ Simulation of elastic wave propagation in geological media: intercomparison of three numerical methods ⋮ Investigation of the elastic waves anisotropy using the grid-characteristic computational method and explicit treatment of cracks ⋮ Grid-characteristic method on joint structured regular and curved grids for modeling coupled elastic and acoustic wave phenomena in objects of complex shape ⋮ On seismic imaging of fractured geological media ⋮ Modeling of ultrasonic waves in fractured rails with an explicit approach ⋮ Seismic imaging of fractured elastic media on the basis of the grid-characteristic method ⋮ On the estimation of seismic resistance of modern composite oil pipeline elements

Cites Work

• Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step
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• Numerical study of some dynamic problems of the mechanics of a deformable rigid body by the mesh-characteristic method
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• The construction of difference schemes of increased order of accuracy for equations of hyperbolic type
• On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid
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• The method of characteristics for the numerical calculation of the space flow of a gas
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• Symmetric hyperbolic linear differential equations
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