... to oil and gas reserves evaluators. One of these challenges is predicting long-term shale production performance and life, especially in a timely and reliable manner. When Arps derived the hyperbolic model in 1944, b -factor was assumed as a constant and limited to values less than or equal to 1.0...

... production forecasting hyperbolic model production control Modeling & Simulation relation hyperbolic rate decline relation numerical simulation Artificial Intelligence reserves evaluation waterfrac gas well Fetkovich log-log plot spe 114947 empirical match Reservoir Surveillance power law...