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The present study adopts a two-phase formulation for oil and water in porous media, augmented with terms that capture the physics of emulsion transport and retention. Physics-informed neural networks (PINNs) provide an alternative route than reservoir simulation: instead of learning from labelled data, the network is trained to minimize residuals of the governing equations and boundary/initial conditions ( Raissi et al., 2017 ). For porous flow with sharp fronts and retention kinetics this is non-trivial, yet promising as a mesh-free, differentiable surrogate that can also assimilate sparse measurements during training. Here we present, to the best of our knowledge, the first PINN formulation tailored to emulsion flooding, building on a two-phase Darcy framework with an emulsion transport–retention subsystem. We report 1D proof-of-concept simulations (pressure and saturation fields) and discuss how permeability reduction and droplet kinetics are encoded in the loss.