Viscoelastic substitute models for seismic attenuation caused by squirt flow and fracture leak off
Artikel i vetenskaplig tidskrift, 2019

We have investigated viscoelastic substitute models for seismic attenuation caused by fluid pressure diffusion in fluid-saturated porous media. Fluid pressure diffusion may locally occur associated with fracture leak off and/or squirt flow. We use a homogenization scheme with numerical model reduction (NMR), recently established in the literature, and we derive the corresponding viscoelastic material properties that are apparent at a larger scale (i.e., the observer scale). Moreover, we find that the rheology of the resulting viscoelastic model is of the Maxwell-Zener type. Based on a series of numerical experiments, we find that this method is able to accurately and efficiently predict the overall attenuation and stiffness moduli dispersion for a range of scenarios without resolving the substructure problem explicitly. Computational homogenization, together with NMR, can be useful to simulate seismic wave propagation using a viscoelastic substitute model that accurately reproduces the energy dissipation and dispersion of a heterogeneous medium in which squirt flow and/or fracture leak-off occurs.

Författare

Ralf Jänicke

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

Beatriz Quintal

Université de Lausanne

Fredrik Larsson

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

Geophysics

0016-8033 (ISSN)

Vol. 84 4 WA183-WA189

Ämneskategorier

Teknisk mekanik

Beräkningsmatematik

Strömningsmekanik och akustik

DOI

10.1190/GEO2018-0565.1

Mer information

Senast uppdaterat

2019-12-06