A model for the description of the association phenomena and chemical reactions in the ionic fluids is considered. It generalizes the sticky electrolyte model and provides simultaneous formation of species with different bond length. The interaction between the oppositely charged ions is characterized by the presence of two narrow and deep attractive square wells inside a hard-core region. It determines the double sticky electrolyte model (DSEM). Application of the simple interpolation scheme by Zhou and Stell and the approximation by Rasaiah and Zhu for the cavity function is investigated for DSEM in order to provide the mass action limiting law. Analytic solution for the DSEM is presented.