A concentrated treatment used on the residual pollution layer in the Obennaus and its improved models is inappropriate for establishing the propagation model of an arc along the pollution layer surface. Therefore, discretising the residual pollution layer is innovatively proposed. The residual pollution layer is discretised into several infinitesimal pollution layer elements with various characteristics along the vertical direction from the arc root to the ground electrode. Quantitative relationships between the surface conductivity of a pollution layer element and several variables, including salt deposit density, water film thickness, temperature, and time, are concluded based on experimental data and relevant theories. A distribution factor that determines leakage current densities in a pollution layer is defined. A residual pollution layer surface resistance model based on the discretisation, relational expressions, and distribution factor is established. A comparison of the proposed model with the results observed in the experiments with and without a partial arc shows that the proposed model is reasonable.