Using the graphologic method and interpreting the combustion oscillogram (COS) supported by flame infrared thermo-gram (FIT) special economical results can be obtained. It is detailed the improving of symbiotic technologies, combustion of water-in-heavy fuel oil emulsion (CWHFOE) and combustion with additived air (CWAA). By establish of new criteria for optimum operation variant, in fact are predicted the very advantageous solutions, and thus avoiding many expensive industrial experiments. Also theoretical bases of phenomena which determine the industrial advantageous results are analysed and scientifically explained for boiler furnace operation. Are presented the perspectives and results in other applications, as well the differences and similitude between the proposed methods.