Calculation of electromagnetic sensitivities in the time domain

Abstract

SUMMARY The speed of calculating sensitivities for 3-D conductivity structures for timedomain electromagnetic methods is significantly improved by applying the reciprocity theorem directly in the time domain. The sensitivities are obtained by convolving the electric field in the subsurface due to a transmitter at the surface with the electric field impulse response due to another transmitter, which replaces the original receiver. The acceleration compared to the classical perturbation method is approximately P/R, where P is the number of model parameters and R is the number of receiver positions. If the sensitivity has to be calculated very close to the receiver, approximate sensitivities can be obtained using an integral condition. Comparisons with the classical perturbation approach show that the method gives accurate results. Examples using transmitter‐ receiver configurations from a long-oVset transient electromagnetics survey demonstrate the usefulness of sensitivities for the evaluation of resolution properties.