Artificial cores were used to simulate the formation conditions of known physical parameters and replaced natural cores， which had become a trend of oil development laboratory research under the condition of less natural cores stock. Based on the comprehensive consideration of the factors affecting the physical parameters of artificial cores，the orthogonal scheme for the proportion design of artificial cores was formulated. This scheme could be used as the instruction of making artificial cores. By testing the physical parameters of cores，the relationship between the influence factors and the physical parameters was analyzed. Using grey correlation method to determine the main control parameter of porosity，permeability and median size，and to further analyze and judge the reasonableness of pre-consideration factors. Based on the results of influencing factors analysis，experimental data and the principle of BP neural network，a mathematical model of artificial core matching design was established. The results showed that the comprehensiveness of pre-consideration factors，the digitization and quantification of influencing factors were the foundation of the model. The main factors affecting the physical parameters of artificial cores were sand ratio，the amount of cement，pressing pressure and time，etc. And the amount of cement and pressing pressure had great influence on porosity. The amount of quartz sand with 0.224—0.45 mm particle size had the biggest effect on the permeability，and that with 0.154—0.28 mm particle size had the greatest influence on the median size. The effect of quartz sand dosage with 0.074—0.18 mm particle size on porosity，permeability and median size was the weakest. This model was used to calculate the amount of core preparation，and the average relative error between measured values and expected values of the physical parameters of artificial cores was less than 10%. This method could be used as the instruction of making artificial cores with small simulation error of physical parameters