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Non-Darcy displacement by a non-Newtonian fluid in porous media according to the Barree-Conway model

Zhaoqin Huang, Xiaoyu Zhang, Jun Yao, Yushu Wu

(Published: 2017-09-25)


Corresponding Author and Email:Jun Yao, emc.group.upc@gmail.com


Citation:Huang, Z., Zhang, X., Yao, J., et al. Non-Darcy displacement by a non-Newtonian fluid in porous media according to the Barree-Conway model. Adv. Geo-energ. Res. 2017, 1(2): 74-85, doi: 10.26804/ager.2017.02.02.


Article Type:Original article


Abstract:

An analytical solution for describing the non-Darcy displacement of a Newtonian fluid by a non-Newtonian fluid in porous media has been developed. The two-phase non-Darcy flow is described using the Barree-Conway model under multiphase conditions. A power-law non-Newtonian fluid, whose viscosity is a function of the flow potential gradient and the phase saturation, is considered. The analytical solution is similar to the Buckley-Leverett theoretical solution, which can be regarded as an extension of the Buckley-Leverett theory to the non-Darcy flow of non-Newtonian fluids. The analytical results revel how non-Darcy displacement by a non-Newtonian fluid is controlled not only by relative permeabilities but also by non-Darcy flow coefficients as well as non-Newtonian rheological constitutive parameters and injection rates. The comparison among Darcy, Forchheimer and Barree-Conway models is also discussed. For application, the analytical solution is then applied to verify a numerical simulator for modeling multi-phase non-Darcy flow of non-Newtonian fluids.


Keywords:Non-Newtonian fluid, non-darcy flow, barree-conway model, buckley-leverett type solution, two-phase immiscible flow.


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