Method for determining relative permeabilities from data on unsteady filtration by combined physical and computer modeling

A method for determining relative permeabilities from data on unsteady filtration is proposed based on analytical solution of the inverse problem of filtration in the Buckley–Leverett approximation (Johnson–Bossler–Naumann method), verification of the results by numerical solution of the direct problem, and developing recommendations for changing the filtration conditions in subsequent experiments. It is shown that to improve the agreement between natural phase permeabilities and those obtained under laboratory conditions, it is advisable to combine physical and numerical experiments.