This paper a numerical simulation of methods of intensification of flow to the well by using various approaches. To simulate the hydrochloric acid impact, an approach was applied based on changing the well productivity factor, as well as an approach that consisted of using a chemical reaction in a hydrodynamic model. The criteria for qualitative forecasting of technological development indicators was the actual data on one of the wells of the analogous field of the object. As a result of calculations on the example of a actual field in the conditions of extended horizontal wells, increments of additional oil production were obtained with applying various approaches of modeling the process of hydrochloric acid treatment. It was revealed that in the conditions of extended horizontal wells, the use of negative values of skin factors increases oil production by several times in comparison with the approach of compositional modeling with the occurrence of chemical reactions. Sensitivity analysis to the volume and concentration of the injected acid was carried out by using specialized software. It was concluded that as a result of the chemical reaction in compositional modeling, the effect of hydrochloric acid treatment significantly depends on the composition of the rock, the reaction rate, the concentration and volume of the injected acid. Multi-stage hydraulic fracturing was modeled by using a planar fracture system tool and discrete fracture system model. A slight discrepancy between the results of calculating the hydrodynamic model between these methods for modeling multi-stage hydraulic fracturing was identified.