This paper considers the inverse dynamic problem of recovering the parameters of a viscoelastic attenuating medium from the wavefield. The input data are the wavefield and its derivatives at points within the medium being characterized. Such data can be...
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This paper considers the inverse dynamic problem of recovering the parameters of a viscoelastic attenuating medium from the wavefield. The input data are the wavefield and its derivatives at points within the medium being characterized. Such data can be acquired in borehole seismic surveys by vertical seismic profiling (VSP), in which the wavefield is recorded by receivers positioned along a borehole. As a further development of the proposed approach, surface seismic observations may be considered by downward continuation of the field recorded at the ground surface into the medium using migration and seismic imaging methods.
Solving the inverse problem yields an elastic parameter of the medium (the elastic modulus) and a viscous parameter (the stress relaxation time). The proposed approach differs from full-waveform inversion (FWI) in that the medium parameters are obtained not by model fitting, but by solving an inverse coefficient problem for the wave-propagation equations.
The pap
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