Summary:
The task
of quantifying petrophysical parameters is divided into two steps.
1.
Invert
for the electromagnetic properties of the formation (permittivity and
conductivity) from magnitude and phase of electromagnetic wave recorded at the
receiver. These electromagnetic properties are obtained for each frequency of
operation to obtain their variation with respect to frequency (dispersion).
2.
Valid
mixing models are required to relate petrophysical parameters of formation and
dispersive electromagnetic properties.
It
is shown that the presence of noise in the data can lead to ill-posed inverse
problems where multiple answers can be present.
Monte
Carlo method is used to study the effect of the noise on the inverted
petrophysical properties of the formation.
With the
increase of salinity in water, the permittivity of water decreases a little
while the conductivity of water increases much. In addition, water salinity
will not affect the properties of rocks much.
There are many
methods developed for dielectric data. Some of them are for inverting for
permittivity and conductivity with different frequencies in order to obtain petrophysical
properties. Some of them are for defining quality control criteria for
dielectric logging.
Tomorrow, I will start to look for methods to improve the prediction performance of dielectric data. Also, I will try to find papers about how to predict dielectric data accurately.
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