Seismic wave attenuation in fluid-saturated porous media

1988 ◽  
Vol 128 (1-2) ◽  
pp. 423-432 ◽  
Author(s):  
James G. Berryman
Keyword(s):  
Porous Media ◽  
Seismic Wave ◽  
Wave Attenuation ◽  
Saturated Porous Media ◽  
Seismic Wave Attenuation ◽  
Fluid Saturated Porous Media

Modelling viscoelastic wave phenomenon by homogenisation of the poroelasticity equations

2021 ◽  
pp. 1-19
Author(s):  
Q. LI ◽  
F. SANTOSA ◽  
B. WHEELOCK ◽  
K. GOVIL
Keyword(s):  
Porous Media ◽  
Seismic Wave ◽  
Numerical Experiments ◽  
Wave Attenuation ◽  
Fluid Motion ◽  
Viscoelastic Model ◽  
Heterogeneous Porous Media ◽  
Heterogeneous Structure ◽  
Seismic Wave Attenuation ◽  
Coupled Equations

Poroelastic effects have been of great interest in the seismic literature as they have been identified as a major cause of wave attenuation in heterogeneous porous media. The observed attenuation in the seismic wave can be explained in part by energy loss to fluid motion in the pores. On the other hand, it is known that the attenuation is particularly pronounced in stratified structures where the scale of spatial heterogeneity is much smaller than the seismic wavelength. Understanding of poroelastic effects on seismic wave attenuation in heterogeneous porous media has largely relied on numerical experiments. In this work, we present a homogenisation technique to obtain an upscaled viscoelastic model that captures seismic wave attenuation when the sub-seismic scale heterogeneity is periodic. The upscaled viscoelastic model directly relates seismic wave attenuation to the material properties of the heterogeneous structure. We verify our upscaled viscoelastic model against a full poroelastic model in numerical experiments. Our homogenisation technique suggests a new approach for solving coupled equations of motion.

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