Integrating field interpretations to geological modeling with the potential field method

Geological structures, such as complex folds, fluvial channels or ore-veins, usually present principal directions of continuity that can be defined locally but vary on a broader scale. Taking into account both these local anisotropies and their variability is key to achieve sound geological 3D modeling. We make the hypothesis here that anisotropy variations can be sampled on the field and incorporated into the model at an early stage of model building. This work develops two strategies to incorporate such observations to implicit modeling using the potential field method: i) adding second-order derivative information to this field; ii) describing the field as a stochastic convolution in which will be given an interpolated anisotropic field.