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- Title
Effects of Coupling Between Wave‐Induced Fluid Flow and Elastic Scattering on P‐Wave Dispersion and Attenuation in Rocks With Aligned Fractures.
- Authors
Guo, Junxin; Gurevich, Boris
- Abstract
Fracture‐background wave‐induced fluid flow (FB‐WIFF) and elastic scattering are considered two important mechanisms for P‐wave dispersion and attenuation in the fractured and porous fluid‐saturated rock. While numerous theoretical models have been proposed to study these two mechanisms, their coupling effects are seldom studied. Hence, in this work, we investigate the coupling between these two mechanisms theoretically based on the Biot equations of dynamic poroelasticity. The P wave is assumed to propagate perpendicular to the fracture plane in the fluid‐saturated porous rock with aligned penny‐shaped fractures. The general solutions are first obtained from the governing equations, then the expressions for the coefficients of the general solutions are derived using the boundary conditions. To illustrate the influencing factors on the coupling between FB‐WIFF and elastic scattering, a numerical example is given. The results show that the coupling strength between FB‐WIFF and elastic scattering are greatly influenced by the ratio of fluid viscosity to background permeability. With the decrease of this ratio, the coupling strength becomes stronger. Furthermore, the coupling effects are also affected by the fracture radius and thickness. However, the fracture density and fluid bulk modulus have negligible influence on the coupling effects. This new model shows good agreement with other theories. Furthermore, comparison of this new model with the linear superposition of FB‐WIFF and elastic scattering indicates the strong nonlinear coupling between these two mechanisms when their characteristic frequencies are close. Finally, the extension of this model and implications of our results for seismic exploration and sonic logging are discussed. Key Points: Coupling between FB‐WIFF and elastic scattering are studied theoreticallyBackground permeability and fracture properties have significant influence on coupling between FB‐WIFF and elastic scatteringEffects of nonlinear coupling between FB‐WIFF and elastic scattering are notable when their characteristic frequencies are close
- Subjects
ELASTIC scattering; POROELASTICITY; PERMEABILITY; P-waves (Seismology); ATTENUATION (Physics)
- Publication
Journal of Geophysical Research. Solid Earth, 2020, Vol 125, Issue 3, p1
- ISSN
2169-9313
- Publication type
Article
- DOI
10.1029/2019JB018685