A model for non-Newtonian flow in porous media at different flow regimes

Lohne, Arild; Nødland, Oddbjørn; Stavland, Arne; Hiorth, A.

doi:10.1007/s10596-017-9692-6

Cited by 34 publications

(37 citation statements)

References 59 publications

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“…A local maximum for the polymer viscosity is obtained at a third critical rate . Beyond , there is another decrease in polymer viscosity; this shear rate is characterized as the onset of mechanical degradation (Dupas et al, 2012;Brakstad and Rosenkilde, 2016;Lohne et al, 2017;Skauge et al, 2018). Polymer injectivity in porous media is influenced by a number of factors including shear thickening.…”

Section: In-situ Rheology Of Associative Polymersmentioning

confidence: 99%

“…Due to the time-consuming nature of in-situ measurement techniques, in-situ polymer rheology has often been evaluated analytically and numerically (Skauge et al, 2018). The difficulty with modelling polymer rheology lies in the fact that they are non-Newtonian fluids and the porous media in which they flow is a non-uniform pore geometry (Lohne et al, 2017;Skauge et al, 2018). The analytical study of polymer flow in porous media involves the use of time-independent models with the addition of some viscoelastic attributes (Delshad et al, Journal Pre-proof J o u r n a l P r e -p r o o f 2008; Sochi, 2010;Hatzignatiou et al, 2013;Yang et al, 2015).…”

Section: Existing Models For In-situ Polymer Rheologymentioning

confidence: 99%

“…The thinning and thickening respectively. According to Lohne, et al (2017), the polymer relaxation, time can be related to both polymer properties (molecular weight, , polymer concentration, and specific viscosity, ) and reservior conditions (temperature, and salinity by modifying the slovent viscosity, ) as shown in equation 12…”

Section: Predicting Hydrophobic Interactions In Porous Mediamentioning

confidence: 99%

“…In summary, the use of relaxation time alone in calculating the onset of shear thickening is not sufficient if the stretch rate cannot be estimated. Accordingly, Lohne et al (2017) reported that the use of in describing the onset of shear thickening is limited as it only captures the Journal Pre-proof J o u r n a l P r e -p r o o f 24 insufficient relaxation time required to recover from its deformation arising from the previous pore throat entry. The reason for the adoption of for predicting shear thickening is that the events of insufficient relaxation time for recovery and the characteristic time for flow in a pore entrance are assumed to be close (Lohne, et al, 2017).…”

Section: Predicting the Onset Of Shear Thickening Using Rheological Mmentioning

confidence: 99%

“…However, flow in rheometers or viscometers represents a different geometrical configuration to a porous media. The flow of polymers in a porous media can be attributed to the existence of both shear and extensional components (Sochi, 2010;Stavland et al, 2010;Zamani et al, 2015;Lohne et al, 2017;Zamani, et al, 2017;Skauge et al, 2018). In differentiating between these components, Figure 2 shows a fluid element (A) subjected to both shear and extensional flow.…”

Section: Introductionmentioning

confidence: 99%

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Hydrophobically associating polymers for enhanced oil recovery – Part B: A review of modelling approach to flow in porous media

Afolabi

Oluyemi

Officer

et al. 2019

Journal of Molecular Liquids

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Section: In-situ Rheology Of Associative Polymersmentioning

confidence: 99%

Section: Existing Models For In-situ Polymer Rheologymentioning

confidence: 99%

Section: Predicting Hydrophobic Interactions In Porous Mediamentioning

confidence: 99%

Section: Predicting the Onset Of Shear Thickening Using Rheological Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hydrophobically associating polymers for enhanced oil recovery – Part B: A review of modelling approach to flow in porous media

Afolabi

Oluyemi

Officer

et al. 2019

Journal of Molecular Liquids

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A new formulation of the surface charge/surface potential relationship in electrolytes with valence less than three

Nødland,

Hiorth

2023

Comput Geosci

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Surface complexation models (SCMs) based on Gouy-Chapman theory are often used to describe adsorption of ions onto mineral surfaces. To compensate for the buildup of charge at a solid surface, the composition of the electric diffuse layer next to the surface must balance the surface charge. To calculate the diffuse layer composition, several nonlinear equations and integrals must be solved, usually with an iterative approach. Before convergence, charge balance is typically not fulfilled. One numerical difficulty is that, because of these charge balance errors, the iterative solver may attempt to take the square root of a negative number. Herein, we show that for electrolytes containing only monovalent or divalent ions (i.e., most electrolytes encountered in practice), we can greatly simplify the integrals and eliminate the appearance of complex-valued integrands; it is even possible to derive explicit analytical formulas. Furthermore, using the new method prevents converging to non-physical roots of the Grahame equation, which links surface potential to surface charge. To the best of our knowledge, the presented formulation has not been implemented in geochemical modelling software before, although similar mathematical expressions have been presented in the literature. In Gouy-Chapman theory, ions can only be distinguished by their charges, but this is not consistent with all experimental findings. We present a model that allows for the preferential accumulation of ions in the diffuse layer. The model, which is implemented mathematically by including ion exchange sites with a variable exchange capacity, is flexible and more numerically tractable than the standard models for the diffuse layer.

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