Abstract: To describe the nonlinear effect of oil-ice mixture with low oil concentration in ice-covered sea area, a method was proposed to accurately estimate the abundances of constituent materials. Based on the polynomial and sine model, the method added normalization terms and performed wavelet transformation to spectral signatures, to resolve over-fitting problems and highlight the low energy information. According to the experimental analyses of constructed mixtures based on the data collected in Bohai Bay, the estimated abundance is accurate for the real one as low as 10⁻⁴ , and can stay in the corresponding magnitude order related to the real data. Compared to classic nonlinear models, the proposed method shows lower logarithm mean square root error and clearer oil spill distribution maps, which can be used to plan a response to oil spills in high latitude.