Summary Joint inversion of electrical and electromagnetic (E&EM) data can reduce the non-uniqueness of geophysical inversion by exploiting the complementary sensitivities of galvanic and inductive measurements. However, many existing approaches either rely on one-dimensional electromagnetic (1D EM) forward modelling or neglect induced polarization (IP) effects, which can be limiting in the presence of polarizable targets or laterally complex structures. We present a joint inversion framework that combines three-dimensional electromagnetic (3D EM) modelling with two-dimensional direct current resistivity and induced polarization (2D DCIP) modelling. The framework uses a common maximum phase angle (MPA) reparameterization of the Cole-Cole model for both inductive and galvanic data, together with decoupled forward and model meshes that allow each EM system to be modelled on a dedicated 3D forward mesh while all datasets update a common 2D inversion model. The method is evaluated using two synthetic examples and a mineral exploration field dataset. The synthetic examples represent a hydrogeological setting with weak-to-moderate IP effects and a mineral exploration setting with stronger IP effects associated with a finite conductive and polarizable intrusion. For both cases, we compare EM-only inversion, DCIP-only inversion, 1D EM/2D DCIP joint inversion, and 3D EM/2D DCIP joint inversion. The results show that the 3D EM/2D DCIP joint inversion improves the recovery of resistivity and IP structures when 3D EM effects are significant. In the hydrogeological example, the 3D EM kernel improves the imaging of laterally complex clay-rich structures, whereas in the mineral exploration example it reduces artefacts associated with the finite intrusion and improves the separation of distinct polarizable zones. The field application combines airborne EM and ground DCIP data acquired over Fe-Ti-V oxide mineralization in southern Portugal. The joint inversion honours both datasets and provides a single resistivity and IP model compatible with the main geological setting. Overall, the results indicate that 3D EM/2D DCIP joint inversion is useful for interpreting inductive and galvanic datasets across different IP regimes, particularly where finite or laterally complex polarizable structures make 1D EM modelling inadequate.
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Chen et al. (2026) studied this question.
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