Effective elastic properties of fractured rocks: Dynamic vs. static considerations

作者: Erik H. Saenger , Oliver S. Krüger , Serge A. Shapiro

DOI: 10.1190/1.2369912

关键词:

摘要: We present a new technique for static computations of effective elastic properties 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 some recent numerical studies. The focus scale effects so-called representative volume element (RVE). From point view classical micromechanics we review different techniques: Static as well dynamic experiments. show that differential medium theory (DEM) capable producing satisfactory predictions moduli. For non-dilute crack densities this not case non-interacting approximation (NIA).

参考文章(14)
E. H. Saenger, S. A. Shapiro, Y. Keehm, Seismic effects of viscous Biot-coupling: Finite difference simulations on micro-scale Geophysical Research Letters. ,vol. 32, pp. n/a- n/a ,(2005) , 10.1029/2005GL023222
Oliver S. Krüger, Erik H. Saenger, Stefan Buske, Serge A. Shapiro, Reflection coefficients of fractured rocks: A numerical study Seg Technical Program Expanded Abstracts. ,(2004) , 10.1190/1.1845182
Vladimir Grechka, Mark Kachanov, Multiple fractures in rocks: effective orthotropy and seismic characterization Seg Technical Program Expanded Abstracts. ,(2005) , 10.1190/1.2144287
R. Hill, Elastic properties of reinforced solids: Some theoretical principles Journal of the Mechanics and Physics of Solids. ,vol. 11, pp. 357- 372 ,(1963) , 10.1016/0022-5096(63)90036-X
Vladimir Grechka, Mark Kachanov, Effective elasticity of fractured rocks Geophysics. ,vol. 25, pp. 152- 155 ,(2006) , 10.1190/1.2172305
B. Orlowsky, Erik H. Saenger, Y. Guéguen, S.A. Shapiro, Effects of Parallel Crack Distributions on Effective Elastic Properties - a Numerical Study International Journal of Fracture. ,vol. 124, ,(2003) , 10.1023/B:FRAC.0000022563.29991.80
Paul M Davis, Leon Knopoff, None, The elastic modulus of media containing strongly interacting antiplane cracks Journal of Geophysical Research: Solid Earth. ,vol. 100, pp. 18253- 18258 ,(1995) , 10.1029/95JB00717
James G. Berryman, Single‐scattering approximations for coefficients in Biot’s equations of poroelasticity Journal of the Acoustical Society of America. ,vol. 91, pp. 551- 571 ,(1992) , 10.1121/1.402518
Erik H. Saenger, Oliver S. Kruger, Serge A. Shapiro, Effective elastic properties of randomly fractured soils: 3D numerical experiments Geophysical Prospecting. ,vol. 52, pp. 183- 195 ,(2004) , 10.1111/J.1365-2478.2004.00407.X
Mark Kachanov, Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts Applied Mechanics Reviews. ,vol. 45, pp. 304- 335 ,(1992) , 10.1115/1.3119761