Well logging inversion was carried out using Levenberg-Marquardt (LM) and Singular
Value Decomposition (SVD) techniques for the determination of petrophysical parameters,
respectively. In this research, synthetic data contaminated with 5% Gaussian noise,
and field data were used to compare the results from the two inversion methods. MATLAB
software has been developed to solve the overdetermined inverse problem. The estimated
petrophysical parameters from both inversion methods had been compared to one another
in terms of robustness to noise, rock interface differentiation, different fluid prediction,
and the accuracy of the estimated parameters. This research returns the reason to
the inner iterative loop which is considered more about the Jacobian matrix sensitivity.
The inversion results showed that both methods can be used in petrophysical data estimation
for a reliable well-log data interpretation.