Simultaneous Inversion of Time-domain SIP Data

We developed a new inversion algorithm of time-domain SIP data in which the entire multi-channel data sets are simultaneously inverted. In the proposed algorithm, the channel numbers are incorporated as a new dimension. We define the multi-channel data sets of chargeability data as a single data vector in the space and channel domains, and similarly many chargeability distributions as a single changeability model which spans in the space-channel domain. These definitions allow us to introduce inverse model regularizations not only in the space domain but also in the channel domain. We demonstrated the performance of the proposed algorithm through numerical experiments as well as real data application; the new inversion approach can generate a reasonable chargeabilty model in the space-channel domain in which the curves of the inverted chargeability are smoothly and monotonously decaying. This performance of the proposed algorithm enables us to fully utilize the own capabilities and merits of SIP method.