A resistivity logging method that comprises: obtaining signal measurements collected by an azimuthally sensitive electromagnetic logging tool as a function of position in a borehole , the logging tool having at least two spacing distances (d1, d2) between at least one transmit antenna and at least two receive antennas ; deriving from the signal measurements: orthogonal direct couplings Vxx, Vyy, Vzz and a cross-coupling sum Vxz+Vzx or Vyz+Vzy defined in accordance with the longitudinal axis z and the normal xy plane of the logging tool ; generating a set of signals as a function of position in the borehole , the set including: a first signal representing a ratio between Vzz coupling components at the spacing distances (d1,d2), a second signal representing a ratio between Vxx and Vzz coupling components for at least one of the spacing distances (d1,d2), a third signal representing a ratio between Vyy and Vzz coupling components for at least one of the spacing distances (d1,d2), a fourth signal representing a ratio between Vxx and Vyy coupling components for at least one of the spacing distances (d1,d2), and a fifth signal representing a ratio between a first sum and a sum of the direct couplings, wherein the first sum comprises the cross-coupling sum Vxz+Vzx or Vyz+Vzy and wherein the sum of the direct couplings is based on Vxx and Vyy and Vzz, for at least one of the spacing distances (d1,d2); and determining a formation dip log and a formation anisotropy log based at least on said set of signals. obtaining signal measurements collected by an azimuthally sensitive electromagnetic logging tool as a function of position in a borehole , the logging tool having at least two spacing distances (d1, d2) between at least one transmit antenna and at least two receive antennas ; deriving from the signal measurements: orthogonal direct couplings Vxx, Vyy, Vzz and a cross-coupling sum Vxz+Vzx or Vyz+Vzy defined in accordance with the longitudinal axis z and the normal xy plane of the logging tool ; generating a set of signals as a function of position in the borehole , the set including: a first signal representing a ratio between Vzz coupling components at the spacing distances (d1,d2), a second signal representing a ratio between Vxx and Vzz coupling components for at least one of the spacing distances (d1,d2), a third signal representing a ratio between Vyy and Vzz coupling components for at least one of the spacing distances (d1,d2), a fourth signal representing a ratio between Vxx and Vyy coupling components for at least one of the spacing distances (d1,d2), and a fifth signal representing a ratio between a first sum and a sum of the direct couplings, wherein the first sum comprises the cross-coupling sum Vxz+Vzx or Vyz+Vzy and wherein the sum of the direct couplings is based on Vxx and Vyy and Vzz, for at least one of the spacing distances (d1,d2); and a first signal representing a ratio between Vzz coupling components at the spacing distances (d1,d2), a second signal representing a ratio between Vxx and Vzz coupling components for at least one of the spacing distances (d1,d2), a third signal representing a ratio between Vyy and Vzz coupling components for at least one of the spacing distances (d1,d2), a fourth signal representing a ratio between Vxx and Vyy coupling components for at least one of the spacing distances (d1,d2), and a fifth signal representing a ratio between a first sum and a sum of the direct couplings, wherein the first sum comprises the cross-coupling sum Vxz+Vzx or Vyz+Vzy and wherein the sum of the direct couplings is based on Vxx and Vyy and Vzz, for at least one of the spacing distances (d1,d2); and determining a formation dip log and a formation anisotropy log based at least on said set of signals. <EOS>