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International Journal of Fracture

, Volume 139, Issue 3–4, pp 569–576 | Cite as

Effective Elastic Properties of Fractured Rocks: Dynamic vs. Static Considerations

  • Erik H. Saenger
  • Oliver S. Krüger
  • Serge A. Shapiro
Article

Abstract

We present a new technique for static computations of effective elastic properties of multiple fractured rocks. This approach is based on the viscoelastic rotated staggered finite-difference (FD) grid wave propagation technique. Our simulations are used to explain discrepancies of some recent numerical studies. The focus is on scale effects of a so-called representative volume element (RVE). From the point of view of classical micromechanics we review different numerical techniques: Static as well as dynamic numerical experiments. We show that the differential effective medium theory (DEM) is capable of producing satisfactory predictions of effective elastic moduli. For non-dilute crack densities this is not the case for the non-interacting approximation (NIA).

Keywords

effective elastic properties cracks scale effects 

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Copyright information

© Springer 2006

Authors and Affiliations

  • Erik H. Saenger
    • 1
  • Oliver S. Krüger
    • 1
  • Serge A. Shapiro
    • 1
  1. 1.Fachrichtung GeophysikFreie Universität BerlinBerlinGermany

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