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The anelasticity of the medium will cause dissipation of seismic energy, thus attenuating the amplitude and modifying the frequency content of the propagating wavelet. This phenomenon is particularly pronounced in the near-surface weathering layer and in the presence of gas chimney or gas cloud. Taking into account the anelastic effects in data processing is necessary for high resolution seismic imaging of geologic structures and petroleum reservoirs covered by such complex overburden media. Besides inverse Q filtering and Q-based seismic migration, redatuming with attenuation compensation is a promising alternative. To handle acquisition footprints, uneven illumination, and avoid wavefield leakage from the overburden, we propose a dual-parameter least squares redatuming approach based on a true-amplitude viscoacoustic one-way wave propagator and a constrained optimization algorithm. Numerical examples demonstrate that this method can retrieve virtual data with corrected amplitudes and phases, which eventually facilitates high-resolution and high-fidelity imaging below the viscoacoustic strata.