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A New Viscous Boundary Condition in the Two-Dimensional Discontinuous Deformation Analysis Method for Wave Propagation Problems

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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.

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Acknowledgments

This study was funded by the Israel Science Foundation through grant ISF-2201, contract no. 556/08.

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Authors and Affiliations

  1. Department of Geological and Environmental Sciences, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel

    Huirong Bao & Yossef H. Hatzor

  2. School of Civil Engineering, Tianjin University, Tianjin, 300072, China

    Xin Huang

Authors
  1. Huirong Bao
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  2. Yossef H. Hatzor
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  3. Xin Huang
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Correspondence to Xin Huang.

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Bao, H., Hatzor, Y.H. & Huang, X. A New Viscous Boundary Condition in the Two-Dimensional Discontinuous Deformation Analysis Method for Wave Propagation Problems. Rock Mech Rock Eng 45, 919–928 (2012). https://doi.org/10.1007/s00603-012-0245-y

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  • DOI: https://doi.org/10.1007/s00603-012-0245-y

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