Cg. Farquharson et Dw. Oldenburg, INVERSION OF TIME-DOMAIN ELECTROMAGNETIC DATA FOR A HORIZONTALLY LAYERED EARTH, Geophysical journal international, 114(3), 1993, pp. 433-442
Time-domain electromagnetic (TEM) data are inverted to produce a condu
ctivity model composed of horizontal layers of constant conductivity.
The data can be values of the time decay of the vertical component of
the magnetic field, or of its time derivative, measured at points eith
er inside or outside a rectangular transmitter loop. Our inversion all
ows many more layers than there are data. This means that the construc
ted conductivity model not only fits the data to the required level, b
ut also possesses particular characteristics. By suitable choice of th
e objective function to be minimized, our constructed model may have m
inimum structure in some well-defined sense and/or it may be close to
some known background model. Our inversion algorithm works directly in
the time domain. This requires fractionally more computing time than
the alternative approach of transforming the data to the frequency dom
ain before inversion. However, working in the time domain prevents dis
tortion of the data and their associated measurement errors which may
arise during the transformation. Also, the effects of the full transmi
tter current waveform can easily be incorporated by convolution in the
time domain. Our inversion is applied to data from an environmental s
urvey and the results are shown to compare favourably with a nearby we
ll-log.