“…For the larger Reynolds number, the inertial force gradually plays the main role, and the Forchheimer's law is in the form of quadratic. Then, the Forchheimer's law becomes the basic equation to describe the non-Darcy flow in porous media (Chen, 2019a;Lagziri and Bezzazi, 2019;Wen, 2006;Thauvin and Mohanty, 1998), and some study focus on the determination method of equation correlation coefficient and its application in engineering practice (Thauvin and Mohanty, 1998;Guo et al, 2021;Agi, 2018;Jeong, 2015;Katterbauer, 2015;Kouznetsov, 1998;Mullakaev, 2015). However, the formation mechanism of non-linear flow caused by pulse injection is obviously different from previous studies.…”