The present invention is related to the use of ethylene alkanoate-alkyl acrylate bipolymers with a high randomness monomers distribution, which are synthesized by semicontinuous emulsion polymerization process, characterized because it is carried out using slow addition rate of the pre-emulsion feeding ({dot over (q)}≤0.009 kg·L−1·min−1), stabilized this last one by alkyl glycol ether type surfactants, at temperatures higher than 75° C. and with solids contents above 25 wt %, which avoids the formation of large sequences (blocks) of a same monomer. This structural characteristic gives the ethylene alkanoate-alkyl acrylate bipolymers a high efficiency as chemical agents for removal of complex water/crude oil emulsions of crude oil blends.