A new viscous boundary condition in the two-dimensional discontinuous deformation analysis method for wave propagation problems

Huirong Bao, Yossef H. Hatzor, Xin Huang

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

Viscous boundaries are widely used in numerical simulations of wave propagation problems in rock mechanics and rock engineering. By using such boundaries, reflected waves from artificial boundaries can be eliminated; therefore, an infinite domain can be modeled as a finite domain more effectively and with a much greater accuracy. Little progress has been made, thus far, with the implementation and verification of a viscous boundary in the numerical, discrete element, discontinuous deformation analysis (DDA) method. We present in this paper a new viscous boundary condition for DDA with a higher absorbing efficiency in comparison to previously published solutions. The theoretical derivation of the new viscous boundary condition for DDA is presented in detail, starting from first principles. The accuracy of the new boundary condition is verified using a series of numerical benchmark tests. We show that the new viscous boundary condition works well with both P waves as well as S waves.

Original languageEnglish
Pages (from-to)919-928
Number of pages10
JournalRock Mechanics and Rock Engineering
Volume45
Issue number5
DOIs
StatePublished - 1 Sep 2012

Keywords

  • Absorbing boundary condition
  • Discontinuous deformation analysis
  • Dynamic analysis
  • Non-reflecting boundary
  • P wave
  • S wave
  • Viscous boundary condition
  • Wave propagation

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