Development of a numerical workflow based on &amp;lt;i&amp;gt;μ&amp;lt;/i&amp;gt;-CT imaging for the determination of capillary pressure–saturation-specific interfacial area relationship in 2-phase flow pore-scale porous-media systems: a case study on Heletz sandstone

Peche, Aaron; Halisch, Matthias; Tatomir, Alexandru; Sauter, Martin

doi:10.5194/se-7-727-2016

Cited by 10 publications

(5 citation statements)

References 51 publications

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“…Equation 12 is the effective stress acting upon the grain particles of the porous granular material, for which σ s , γ wa , and the PDF of the grain particles can be determined by experimental methods (e.g., digital image analysis, X-ray computed tomography, mercury intrusion porosimetry, etc. ; Brusseau et al, 2006;Peche et al, 2016;Tatomir et al, 2016). There still are 𝑢 w , 𝑢 a , G w (R), G a (R), and h(R) left unknown, usually, 𝑢 w and 𝑢 a can be described by matric suction (Zhang & Lu, 2020).…”

Section: Theoretical Conceptmentioning

confidence: 99%

Pore‐scale analytic model to calculate the suction stress in partially saturated soils

Zhou

Tatomir

Sauter

2022

Vadose Zone Journal

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The expression of effective stress in unsaturated conditions has remained controversial ever since the concept was first proposed in the 1950s by Bishop. In this paper, based on the first law of thermodynamics, a novel approach is proposed to calculate the effective stress in unsaturated soil systems by applying the improved bundled cylindrical capillary model and the probability density function of soil particles. The proposed model provided an expression for Bishop's effective stress model and Bishop's coefficient χ. The basic assumptions of the model are (a) the water in the unsaturated pores can be divided into capillary water and adsorbed water, and (b) the soil pore network is considered as a rigid body, and the particle structure is unchanged with saturation variation. Published experimental data are compared with Lu's effective stress model and our model results. The findings show that the proposed model performs well over a wide range of saturation conditions for nonexpansive soils, such as sand, and the capillary stage for expansive soils, such as silt, and clay materials.

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Section: Theoretical Conceptmentioning

confidence: 99%

Pore‐scale analytic model to calculate the suction stress in partially saturated soils

Zhou

Tatomir

Sauter

2022

Vadose Zone Journal

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“…Experimental data could then be generated for the true capillary pressure, saturation, and fluid-fluid interfacial area for a large number of states accurately and precisely under equilibrium conditions with the results interpreted in an inclusive and robust manner. These conditions have been compromised in certain respects in virtually all studies (Chan & Govindaraju, 2011;Chen et al, 2007;Joekar-Niasar & Hassanizadeh, 2012;Karadimitriou et al, 2014;Peche et al, 2016). In effective experiments, the need exists for high-resolution imaging that requires extended periods of time to capture the range of media considered, the size of the systems investigated, the number of states that can be observed, the time allowed for equilibrium to be achieved, and in many cases the monitoring of interfacial curvature needed to compute the true capillary pressure.…”

Section: Role Of Interfacial Areamentioning

confidence: 99%

“…Many attempts conclude that the HG hypothesis is appropriate and helpful, although some have concluded that only a reduction in hysteretic behavior can be achieved by including interfacial area in the relation (Cheng et al, 2004;Held & Celia, 2001;Joekar-Niasar, Prodanovic, et al, 2010;Karadimitriou et al, 2014;Porter et al, 2009). The issue is considered open and work has continued over recent years using consistently improving methods (Godinez-Brizuela et al, 2017;Nikooee et al, 2016;Paustian, 2018;Peche et al, 2016;Sivanesapillai et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics

Miller

Bruning

Talbot

et al. 2019

Water Resources Research

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A closure relation for capillary pressure plays an important role in the formulation of both traditional and evolving models of two‐fluid‐phase flow in porous medium systems. We review the traditional approaches to define capillary pressure, to describe it mathematically, to determine parameters for this relation, and to constrain the domain of applicability of this relation. In contrast to the traditional approach, we provide a rigorous, multiscale definition of capillary pressure, define the state domain of interest in practice, summarize computational and experimental approaches to investigate the system state, and apply the methods for two‐fluid states in a model ink bottle system, the classical Finney pack of spheres, and a synthetic sphere pack system. The results of these applications show that a state equation exists that describes capillary pressure without hysteresis. This state equation parameterizes a function that describes the nonwetting phase volume fraction in terms of the capillary pressure, the interfacial area, and the specific Euler characteristic of the nonwetting phase. Furthermore, this state equation applies over the complete range of conditions encountered in practice, and it applies under both equilibrium and dynamic conditions. This state equation involving capillary pressure forms an important foundation for the development of the next generation of macroscale two‐fluid‐phase flow models in porous medium systems.

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“…Several experimental methods were proposed to measure the fluid–fluid interfacial areas (FIFAs): interface partitioning tracer test (IPTT), where the tracer is dissolved in an aqueous (Anwar et al., 2000; Brusseau et al., 2007; Kim et al., 1997; Saripalli et al., 1997) or in a gaseous (Costanza‐Robinson & Brusseau, 2002; Kim et al., 1999) phase, high‐resolution industrial X‐ray microtomography (XMT), and synchrotron XMT (Araujo & Brusseau, 2020; Brusseau et al., 2008; Culligan et al., 2006; McDonald et al., 2016; Narter & Brusseau, 2010; Patmonoaji et al., 2018; Peche et al., 2016; Porter et al., 2010; Ying et al., 2017), the gas adsorption chemical reaction (Ying et al., 2017), experiments using microfluidic devices (Karadimitriou et al., 2016), and the kinetic interface sensitive tracer method (Tatomir et al., 2018). The experimental methods for measuring the FIFA are usually applied in controlled laboratory conditions, that is, tracer methods, XMT, micro models (e.g., Dobson et al., 2006; Karadimitriou et al., 2016; McDonald et al., 2016; Porter et al., 2010; Tatomir et al., 2018), but also in the field, that is, tracer methods (Annable et al., 1998; Nelson & Brusseau, 1996; Simon & Brusseau, 2007).…”

Section: Introductionmentioning

confidence: 99%

Estimation of Capillary‐Associated NAPL‐Water Interfacial Areas for Unconsolidated Porous Media by Kinetic Interface Sensitive (KIS) Tracer Method

Tatomir,

Gao,

Abdullah

et al. 2023

Water Resources Research

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By employing kinetic interface sensitive (KIS) tracers, we investigate three different types of glass‐bead materials and three natural porous media systems to quantitatively characterize the influence of the porous‐medium grain‐, pore‐size and texture on the specific capillary‐associated interfacial area (FIFA) between an organic liquid and water. By interpreting the breakthrough curves (BTCs) of the reaction product of the KIS tracer hydrolysis, we obtain a relation for the specific IFA and wetting phase saturation. The immiscible displacement process coupled with the reactive tracer transport across the fluid–fluid interface is simulated with a Darcy‐scale numerical model. Linear relations between the specific capillary‐associated FIFA and the inverse mean grain diameter can be established for measurements with glass beads and natural soils. We find that the grain size has minimal effect on the capillary‐associated FIFA for unconsolidated porous media formed by glass beads. Conversely, for unconsolidated porous media formed by natural soils, the capillary‐associated FIFA linearly increases with the inverse mean grain diameter, and it is much larger than that from glass beads. This indicates that the surface roughness and the irregular shape of the grains can cause the capillary‐associated FIFA to increase. The results are also compared with the data collected from literature, measured with high resolution microtomography and partitioning tracer methods. Our study considerably expands the applicability range of the KIS tracers and enhances the confidence in the robustness of the method.

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Development of a numerical workflow based on <i>μ</i>-CT imaging for the determination of capillary pressure–saturation-specific interfacial area relationship in 2-phase flow pore-scale porous-media systems: a case study on Heletz sandstone

Cited by 10 publications

References 51 publications

Pore‐scale analytic model to calculate the suction stress in partially saturated soils

Pore‐scale analytic model to calculate the suction stress in partially saturated soils

Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics

Estimation of Capillary‐Associated NAPL‐Water Interfacial Areas for Unconsolidated Porous Media by Kinetic Interface Sensitive (KIS) Tracer Method

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