Conformable derivative: Application to non-Darcian flow in low-permeability porous media

• DOI: 10.1016/j.aml.2017.12.006
• Publication Date: 2017-12-13T08:42:56Z
• Authors: Shuai Yang; Liping Wang; Shuqin Zhang
• Keywords: 0101 mathematics; 01 natural sciences

Abstract The conformable derivative is used to develop the Swartzendruber model for description of non-Darcian flow in porous media. The proposed conformable Swartzendruber models are solved employing the Laplace transform method and validated on the basis of water flow in compacted fine-grained soils. The results of fitting analysis present a good agreement with experimental data. Furthermore, sensitivity analyses are carried out to illustrate the effects of related parameters on the conformable Swartzendruber models.