To approximate seismic wave propagation in double porosity media we use the governing equations of effective Biot theory with complex phase velocity and attenuation dispersion characteristics. To upscale them and extend to shear waves we use the poro-viscoelastic modeling approach of multiple fractional Zener elements and apply a frequency-space domain mixed grid finite difference simulation method to calculate wavefields for solid particle velocity, fluid flux and pore pressure.


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