Propagation and Attenuation of Elastic Waves in a Double Porosity Medium

Figure 1

Variations of wave velocities and attenuation with fracture porosity in Berea sandstone; effect of dissipation from fluid viscosity or frame anelasticity (viscous fluid: 𝜂=0.001 poise; pore permeability: 𝜒₁₁=10⁻¹⁶ m²; fracture permeability: 𝜒₂₂=10⁻¹² m²; anelastic frame: 𝛿_𝐺=0.11, 𝛿_𝐸/𝛿_𝐺=0.9; wave frequency: 1000 Hz).

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