Optimization of pressure drop model for shale gas wells in area X based on correlation coefficient method

The bottom hole pressure is an important parameter in the production process of a gas well, and it is of great significance to many aspects such as gas well productivity evaluation, dynamic analysis and production allocation. A large number of shale gas wells in area X were lack of the bottom hole pressure data. In order to solve this problem, based on extensive research in many articles, this paper selected eight kinds of calculation models as candidate objects, such as Hagadorn-Brown and Beggs-Brill. Different models were used to calculate the bottom hole pressure of only two shale gas wells with measured pressure data in this area, and the calculated results were compared with the measured data to select the best model for calculating the bottom hole pressure of shale gas wells in area X. In the optimization analysis, it was found that the conventional average relative error comparison method or the graph comparison method could not reflect the application situation of the calculation models well in this area. Therefore, on the basis of the two comparison methods, the correlation coefficient method was introduced to quantify the overall difference between the calculated pressure and the measured pressure. The results showed that the calculated result of Orkiszewski model fitted the measured pressure best.