Numerical simulation of non-Newtonian fluid flow through a rock scanned with high resolution X-ray micro-CT

Moussa Tembely, Ali M. Alsumaiti, Khurshed Rahimov, Mohamed S. Jouini

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


Most of the pore-scale models are concerned with Newtonian fluid due to its simplicity and the challenge posed by non-Newtonian fluid. In this paper, we report a non-Newtonian numerical simulation of the flow properties at pore-scale by direct modeling of the 3D micro-CT images using a Finite Volume Method (FVM). The numerical model is based on the resolution of the mass and momentum conservation equations in conjunction with an adaptive meshing technique used to generate the mesh along with the appropriate boundary conditions to compute the porous media permeability. To describe the fluid rheology, a concentration-dependent power-law viscosity model in line with the experimental measurement of the fluid rheology is proposed. The model is first applied at isothermal condition to 2 benchmark rocks samples, a sandstone and a carbonate. The implemented FVM technique shows a good agreement with the Lattice Boltzmann Method (LBM). Subsequently, at nonisothermal conditions, the numerical simulation is carried out where the effective mobility is introduced to make a sensitivity study at different operating conditions and fluid rheology. The normalized mobility on the polymer concentration leads to a master curve while the flow rate displays a contrast between the carbonate and the sandstone.

Original languageBritish English
Title of host publicationProceedings of the World Congress on Engineering 2017, WCE 2017
EditorsA. M. Korsunsky, Andrew Hunter, Len Gelman, S. I. Ao, David WL Hukins
Number of pages3
ISBN (Electronic)9789881404831
StatePublished - 2017
Event2017 World Congress on Engineering, WCE 2017 - London, United Kingdom
Duration: 5 Jul 20177 Jul 2017

Publication series

NameLecture Notes in Engineering and Computer Science
ISSN (Print)2078-0958


Conference2017 World Congress on Engineering, WCE 2017
Country/TerritoryUnited Kingdom


  • Digital rock physics
  • Finite Volume Method
  • Non-Newtonian fluid
  • Pore-scale model


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