Corrigendum: Nuclear magnetic resonance characterization of the stationary dynamics of partially saturated media during steady-state infiltration flow (2011 New J. Phys. 13 015007)

Rassi, Erik M.; Codd, Sarah L.; Seymour, Joseph D.

doi:10.1088/1367-2630/16/3/039501

Cited by 5 publications

(5 citation statements)

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“…(1) using a very similar model with only BP, also reports similar dependency of β on saturation with a visible curvature in the scaling plots. These clearly indicate a non-zero ∆P c that has been ignored hence resulting in a wandering value of β. Interestingly, the same experimental data by Rassi et al [15] are found consistent with β = 1/2 when reanalyzed using Eq. (3) [22].…”

supporting

confidence: 75%

“…where β = 0.54 ± 0.08. More recently, Rassi et al [15] have measured the exponent β which varies in the range of 0.3 to 0.45 depending on the saturation, in steady-state two-phase flow of water and air in a three-dimensional porous medium constructed from glass beads.…”

mentioning

confidence: 99%

“…In the experiments by Rassi et al [15], the exponent β, when measured according to Eq. (1) is found to vary from 0.30 to 0.45 depending on the saturation.…”

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confidence: 99%

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Effective rheology of immiscible two-phase flow in porous media

Sinha¹,

Hansen²

2012

EPL

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We demonstrate through numerical simulations and a mean-field calculation that immiscible twophase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric flow rate depends quadratically on an excess pressure difference in the range of flow rates where the capillary forces compete with the viscous forces. At higher rates, the flow is Newtonian.

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confidence: 75%

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confidence: 99%

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Effective rheology of immiscible two-phase flow in porous media

Sinha¹,

Hansen²

2012

EPL

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“…The exponent a has been found to be in a range of 0.3 to 0.6, both from theoretical arguments as experimental measurements on small samples and simplified systems (e.g. micromodels and bead packs) (Rassi et al, 2014;Sinha et al, 2017;Tallakstad et al, 2009). Figure 12 shows the measured pressure gradients ∇P as a function of Ca for our experiments.…”

Section: Representative Elementary Volumementioning

confidence: 72%

Pore-scale imaging of multiphase flow fluctuations in core-scale samples

Wang

Spurin

Bultreys

2023

Preprint

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Representative elementary volumes (REVs) are an important concept in studying subsurface multiphase flow at the continuum scale. However, fluctuations in multiphase flow are currently not represented in continuum scale models, and their impact at the REV-scale is unknown. Previous pore-scale imaging studies on these fluctuations were limited to small samples with mm-scale diameters and volumes on the order of ~ 0.5 cm3. Here, we image steady-state co-injection experiments on a one-inch diameter core plug sample, with nearly two orders of magnitude larger volume (21 cm3), while maintaining a pore-scale resolution with X-ray micro-computed tomography. This was done for three total flow rates in a series of drainage fractional flow steps. Our observations differ markedly from those reported for mm-scale samples in two ways: the macroscopic fluid distribution was less ramified at low capillary numbers (Ca) of 10-7; and the volume fraction of intermittency initially increased with increasing Ca (similar to mm-scale observations), but then decreased at Ca of 10-7. Our results suggest that viscous forces may play a role in the cm-scale fluid distribution, even at such low Ca, dampening intermittent pathway flow. A REV study of the fluid saturation showed that this may be missed in smaller-scale samples. Pressure drop measurements suggest that the observed pore-scale fluctuations resulted in non-Darcy like upscaled behavior. Overall, we show the importance of large field-of-view high-resolution imaging to bridge the gap between pore- and continuum-scale multiphase flow studies, in particular of pore-scale fluctuations.

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“…This represents a reduction in the resistance to flow compared to Darcy's law, as the fluid distributions (intermittently) change in a way that reduces viscous dissipation. The exponent a has been found to be in a range of 0.3–0.6, both from theoretical arguments as experimental measurements on small samples and simplified systems (e.g., micromodels and bead packs) (Rassi et al., 2014; Sinha et al., 2017; Tallakstad et al., 2009). Figure 12 presents the relationship of measured pressure gradients ∇ P and Ca for our experiments.…”

Section: Resultsmentioning

confidence: 99%

Pore‐Scale Imaging of Multiphase Flow Fluctuations in Continuum‐Scale Samples

Wang

Spurin

Bultreys

2023

Water Resources Research

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Understanding multiphase flow in geological porous materials is central to the safe storage of CO 2 underground (Jeddizahed & Rostami, 2016;Streit & Hillis, 2004) and successful containment of contaminants in the subsurface (McCarthy, 2018). Complex flow dynamics arise from fluid-fluid and fluid-solid interactions over multiple length and time scales (Bultreys et al., 2016;Krevor et al., 2015;Pentland et al., 2011). The underlying pore-scale physics are considered to be mainly controlled by the competition between capillary forces and viscous forces (Chen et al., 2018;Panda et al., 2019;Spurin et al., 2019b). The ratio of these two forces expressed by means of the capillary number (Ca = μv/σ) is commonly used to differentiate between flow regimes. In the majority of subsurface porous medium applications, the fluid flow is very slow, resulting in capillary numbers <10 −7 (Bultreys, 2016).At the Darcy scale, multiphase flow in porous media is described using averaged properties such as capillary pressure and relative permeability (Lin et al., 2018;Parker, 1989;Zahasky et al., 2020), ignoring fluctuations at the pore scale. However, recent observations at the pore-scale have shown that complex interface dynamics occur even during so-called "steady-state" flow, where the average fluid saturation of the system remains constant (Reynolds et al., 2017;Zou et al., 2018). For example, fluid phases can rearrange and periodically disconnect and reconnect in a process called intermittent pathway flow, or intermittency (Gao et al., 2019;Reynolds et al., 2017;Spurin et al., 2019a). This influences the energy dissipation in the system and, therefore, impacts the averaged behavior at larger scales (Rücker et al., 2021). Thus, the assumption of static interfaces in quasi-static models or continuum frameworks may not be accurate. These phenomena occur even in capillary dominated flow regimes that are commonly assumed to be quasi-static, especially when the viscosity ratio (i.e., ratio of nonwetting phase viscosity to wetting phase viscosity) of the two fluids is very low, as for liquid-gas flows. Previous studies, in small mm-scale samples found intermittent pathway flow was most common, and important to fluid connectivity, at capillary numbers around 10 −8 -10 −6 , with the percentage of intermittently-occupied pores increasing with capillary number, and heterogeneity of the pore space (Spurin et al., 2019a(Spurin et al., , 2019b.

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Corrigendum: Nuclear magnetic resonance characterization of the stationary dynamics of partially saturated media during steady-state infiltration flow (2011 New J. Phys. 13 015007)

Cited by 5 publications

References 0 publications

Effective rheology of immiscible two-phase flow in porous media

Effective rheology of immiscible two-phase flow in porous media

Pore-scale imaging of multiphase flow fluctuations in core-scale samples

Pore‐Scale Imaging of Multiphase Flow Fluctuations in Continuum‐Scale Samples

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