Patent ID: 10739486

Abstract:
Methods and apparatus for determining geo-electrical parameters of an earth formation. Methods include operating a multi-frequency electromagnetic propagation instrument at at least three frequencies; generating synthetic signals of the propagation instrument for a set of models and a set of operating frequencies; perform a 2-dimensional interpolation of the synthetic signals; using first polynomial functions to perform interpolation of the dispersive resistivity; using second polynomial functions to perform interpolation of the dispersive dielectric constant; and performing a multi-parametric scan over the sets of at least 2 resistivity parameters and sets of at least 3 dielectric constant parameters using a multi-dimensional grid of resistivity and dielectric constant values, 2-dimensional interpolation, first polynomial functions, and second polynomial functions to find a combination of first polynomial coefficients and second polynomial coefficients which describe dispersive resistivity and dielectric constant providing a best fit between measured and synthetic data.