Sp. Sharma et P. Kaikkonen, 2-DIMENSIONAL NONLINEAR INVERSION OF VLF-R DATA USING SIMULATED ANNEALING, Geophysical journal international, 133(3), 1998, pp. 649-668
The VLF-R (very low frequency-resistivity) data, i.e. the apparent res
istivity (rho(a)) and phase (phi) data, were inverted individually and
jointly using the VFSA (very fast simulated annealing) global inversi
on approach. Global inversion results for synthetic data without and w
ith various amounts of random and normally distributed Gaussian noise
reveal that the inversion of neither the rho(a) nor phi data alone yie
lds the true parameters of the structures. However, the joint inversio
n of the rho(a) and phi data yields very good estimates of the model p
arameters. Five models, representing typical subsurface structures in
the shield areas, are studied here. Various models achieved after 10 V
FSA runs were used to compute the mean model and the corresponding cov
ariance and correlation matrices, which were used to estimate the unce
rtainties in the mean model parameters and correlations between the mo
del parameters. We observe that these correlations follow the physics
associated with the problem. VLF-R held data due to a nearly vertical
contact Structure and a very thick dyke-like structure were also inver
ted to demonstrate the efficacy of the approach in the delineation of
the parameters of 2-D structures.