A computer-implemented method of evaluating an earth formation including a porous medium, the method comprising: making a plurality of estimates of complex permittivity based on measurements using an electromagnetic tool at a plurality of frequencies in a borehole penetrating the earth formation while the porous medium of the formation is saturated with a mixture of water and a plurality of hydrocarbon phases including oil and gas; and estimating a plurality of polarization parameters using a real part and an imaginary part of each estimate of complex permittivity of the earth formation, wherein a first polarization parameter of the plurality is at least one of a hydrocarbon saturation parameter and a water saturation parameter for a complete saturation point (β ∗ , α ∗ ), wherein using the real part and the imaginary part comprises modeling the permittivity as a Havriliak-Negami curve, estimating a plurality of spectral characteristics of the Havriliak-Negami curve, and using a spectral dielectric curve constant ν = 2 ε " max / ε 0 − ε ∞ for the porous medium, the spectral dielectric curve constant (v) invariant with respect to a ratio of water to hydrocarbons in the porous medium, wherein ε " max is the maximal loss factor, ε 0 is the static value of the real part of the dielectric permittivity and ε ∞ is the high-frequency limit of the real part of the dielectric permittivity; and estimating at least one property of the earth formation using the first polarization parameters, wherein the at least one property comprises at least one of: (i) the porosity (ii) the combined hydrocarbon bulk; and (iii) the bulk fraction of water. making a plurality of estimates of complex permittivity based on measurements using an electromagnetic tool at a plurality of frequencies in a borehole penetrating the earth formation while the porous medium of the formation is saturated with a mixture of water and a plurality of hydrocarbon phases including oil and gas; and estimating a plurality of polarization parameters using a real part and an imaginary part of each estimate of complex permittivity of the earth formation, wherein a first polarization parameter of the plurality is at least one of a hydrocarbon saturation parameter and a water saturation parameter for a complete saturation point (β ∗ , α ∗ ), wherein using the real part and the imaginary part comprises modeling the permittivity as a Havriliak-Negami curve, estimating a plurality of spectral characteristics of the Havriliak-Negami curve, and using a spectral dielectric curve constant ν = 2 ε " max / ε 0 − ε ∞ for the porous medium, the spectral dielectric curve constant (v) invariant with respect to a ratio of water to hydrocarbons in the porous medium, wherein ε " max is the maximal loss factor, ε 0 is the static value of the real part of the dielectric permittivity and ε ∞ is the high-frequency limit of the real part of the dielectric permittivity; and estimating at least one property of the earth formation using the first polarization parameters, wherein the at least one property comprises at least one of: (i) the porosity (ii) the combined hydrocarbon bulk; and (iii) the bulk fraction of water. <EOS>