A prediction of pressure behavior with production data only

The purpose of this study is to derive and calculate a pressure response function in order to predict the pressure behavior of a producing or testing well without knowledge of reservoir parameters. The equation of pressure response function is theoretically derived from an analytical solution of the diffusivity flow equation. The pressure response function for a specific reservoir can be derived from the equation of the pressure response function with known production data, such as wellbore pressure and flow rate information. Once calculated, the pressure response function can be used to calculate future wellbore pressures for given flow rates. In these calculations or predictions, no reservoir and fluid parameters are necessary. The derived equations and the calculation methodology have been verified in this study by using reservoir simulation data. The ability to predict future wellbore pressure behavior from a pressure response function is also demonstrated.