determination of dielectric and dispersive resistive properties of land formations using multiple frequency measurements

摘要

these are methods and apparatus for determining geoelectric parameters of an earth formation. methods include (a) operating a multi-frequency electromagnetic propagation instrument on at least three frequencies; generate synthetic signals from the propagation instrument for a set of models and a set of operating frequencies; perform a two-dimensional interpolation of synthetic signals; use first polynomial functions to perform dispersive resistivity interpolation; use second polynomial functions to perform interpolation of the dispersive dielectric constant; and perform a multiparametric scan over the sets of at least 2 resistivity parameters and sets of at least 3 dielectric constant parameters using a multidimensional grid of dielectric constant and resistivity values, two-dimensional interpolation, first polynomial functions and second polynomial functions to find a combination of first polynomial coefficients and second polynomial coefficients that describe dispersive and dielectric constant resistivity providing a better fit between measured and synthetic data.