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Wave Propagation in Fractured-Porous Media with Different Percolation Length of Fracture Systems

Authors
  • Novikov, M. A.1
  • Lisitsa, V. V.2
  • Bazaikin, Ya. V.1
  • 1 Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia , Novosibirsk (Russia)
  • 2 A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia , Novosibirsk (Russia)
Type
Published Article
Journal
Lobachevskii Journal of Mathematics
Publisher
Pleiades Publishing
Publication Date
Aug 01, 2020
Volume
41
Issue
8
Pages
1533–1544
Identifiers
DOI: 10.1134/S1995080220080144
Source
Springer Nature
Keywords
License
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Abstract

AbstractWe present a numerical investigation of the fracture connectivity effect on attenuation of seismic waves propagating in fractured porous fluid-saturated media. We design an algorithm for statistical modeling to generate fracture systems with prescribed percolation length. Generated statistical realizations of the fractured systems are then analyzed to evaluate the fracture-cluster length-scale. After that for all statistical realizations we simulated wave propagation observing formation of the wave-induced fluid flows. We show that fracture-to-background fluid flows are secretive to the branch size. Thus, in the case of permeable background, seismic attenuation is affected by the branch length; i.e., attenuation increases with the increase of the branches length. If the permeability of the background material is low, no fracture-to-background wave-induced fluid flows appear, whereas strong fracture-to-fracture fluid flows may take place. However, fracture-to-fracture fluid flows are local and depend only on the parameters of the individual fractures and their intersections. As a result, the effect of the fracture-to-fracture fluid flows on seismic attenuation is relatively low, even smaller than the attenuation due to scattering.

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