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Wave-induced flow of pore fluids is considered as one of the prominent loss mechanisms in hydrocarbon reservoirs. It occurs during wave propagation around heterogeneities on sub-wavelength scale, if there is a local contrast in rock stiffness. Using quasistatic numerical experiments, the complex effective moduli of a partially saturated and a cracked synthetic rock sample are determined accurately. From the elastic moduli, velocity dispersion and attenuation are derived. Hence, it is demonstrated that poroelastic finite-difference modelling is a valuable tool for the investigation of frequency-dependent effective elastic rock properties and for the verification of new rock physics theories.