Polynomial to non-Darcian flow study

Abstract

The theoretical modeling of fluid flow in low-permeability porous media is a common problem within engineering such as passages of fluid flow. Some factors lead the flow behaviors to deviate from the classical Darcy’s law. Therefore, it is of great scientific significance to carry out the research of non-Darcian flow and pecific analysis the fluid flow in porous media that do not satisfy the linear constitution law of flow. Compared with existing research results, this paper mainly shows that polynomials with powers of no more than 4 degrees have smaller mean squared errors (MSE) and higher correlation coefficients (R2) in experimental data.