Abstract
This paper applies the time-domain wave-splitting and the Green function concepts to study two inverse problems involving an internal transient source embedded in a nondispersive inhomogeneous medium. These two inverse problems are (1) given the physical one-way travel time Green operator kernel $\bar G^ - ( {0,t} )$ and the source-space distribution function, reconstruct the wave-speed profile $c( z )$ of the medium; (2) given the same kernel $\bar G^ - ( {0,t} )$ and the medium wave-speed function, recover the source-space distribution profile $p( z )$. Both numerical inversion algorithms and approximate-reconstruction formulas are presented. Several computational examples are given.
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