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Is your method for refining seismic moment tensor based on empirical Green’s function technique?

Shortly speaking, no. The moment tensor refinement method used in hybridMT algorithm is NOT using the concept of empirical Green’s function technique, although the refinement of seismic moment tensors is also achieved by suppressing the propagation effects (similarly to EGF method). As such, none of EGF assumptions (i.e. similarity of focal mechanisms forming the cluster) is not relevant for hybridMT refinement.