This paper addresses the inverse dynamic problem of recovering the parameters of a viscoelastic absorbing medium. The input data consist of the wavefield at points within the medium under investigation. Such data can be obtained in borehole seismology by...
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This paper addresses the inverse dynamic problem of recovering the parameters of a viscoelastic absorbing medium. The input data consist of the wavefield at points within the medium under investigation. Such data can be obtained in borehole seismology by vertical seismic profiling (VSP), in which the wavefield is recorded by receivers located along a well. As a further development of the proposed approach, surface seismic observations may also be considered after the field recorded at the ground surface has been continued into the medium using migration and seismic imaging methods.
The inverse problem determines the elastic parameter of the medium (the elastic modulus) and its viscous parameter (the stress relaxation time). The proposed approach differs from full-waveform inversion (FWI) in that the medium parameters are determined not by model fitting, but as the solution of an inverse coefficient problem for the wave equation in a viscoelastic medium.
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