Immiscible Displacement in the Interacting Capillary Bundle Model Part I. Development of Interacting Capillary Bundle Model

Dong, Mingzhe; Dullien, F. A. L.; Dai, Liming; Li, Daiming

doi:10.1007/s11242-004-0763-5

Cited by 73 publications

(48 citation statements)

References 18 publications

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“…Dong et al (2005Dong et al ( , 2006 extended the interacting capillary model to interacting capillary bundle model and the mathematical model was solved by numerical methods for analyzing patterns of fluid flow in porous media. The numerical calculation results are in agreement with experimental results reported in literature.…”

Section: Fundamental Physics Mechanism Of Spontaneous Imbibitionmentioning

confidence: 99%

“…The development of the investigation of SI is moving fast. In order to study the basic physics of SI, the idealized interacting tubes model was developed (Dong et al, 1998;Ruth and Bartley, 2002;Dong et al, 2005;Dong et al, 2006;Ruth and Bartley, 2011). Unsal et al (2007aUnsal et al ( , 2007bUnsal et al ( , 2009) studied the SI in the tube model experimentally by designing specific experimental setup consisting of two non-axisymmetric tubes.…”

Section: Introductionmentioning

confidence: 99%

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A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability

Meng

Liu

Wang

2017

Adv. Geo-Energ. Res.

114

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Spontaneous imbibition (SI) is one of the primary mechanisms of oil production from matrix system in fractured reservoirs. The main driving force for SI is capillary pressure. Researches relating to SI are moving fast. In the past few years, amount of literature on the development of SI with respect to many variables, such as mechanism of imbibition, scaling of imbibition data and wettability of matrix blocks. In this review, we first introduced the fundamental physics mechanism of SI through capillary tube models and micromodels. Then both conventional and more novel experimental methods of measuring oil production are discussed thoughtfully. This is followed by reviewing the oil production performance under various boundary conditions and the characteristic length in scaling equations that have been used to account for different cores shape and boundary conditions. The effect of fluid viscosity on the rate of oil production and final oil recovery as well as the development of viscosity term in the scaling equation are reported. The commonly used methods to quantitatively evaluate the wettability of cores and the SI under mix-and oil-wet conditions are introduced. And last but not least, the methods and mechanism of wettability alteration for enhanced oil recovery in mix-or oil-wet fractured reservoirs are presented.Keywords: Spontaneous imbibition, fractured reservoirs, boundary condition, viscosity ratio, wettability.Citation: Meng, Q., Liu, H., Wang, J. A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability.

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Section: Fundamental Physics Mechanism Of Spontaneous Imbibitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability

Meng

Liu

Wang

2017

Adv. Geo-Energ. Res.

114

View full text Add to dashboard Cite

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“…3. Such "capillary bundle" approximations may seem rather severe and uncontrolled, but they have a long history of use in the modeling of fluids in porous media [26,27,[31][32][33][34], including evaporative drying [35]. Here, the rise h of liquid into a tube of radius r may be computed by considering how the pressure increases from P 0 in the liquid at the bottom of the sample to P 0 + P in the gas In the model, a bundle of capillaries with height of H 0 is placed vertically in a water reservoir.…”

Section: Capillary Bundle Modelmentioning

confidence: 99%

“…The variation of the intruding mercury volume with the reduced gas pressure gives the cumulative pore size distribution of the sample. Data analysis relies upon two assumptions: first, that the sample pores have a cylindrical geometry and, second, that the pressure difference due to the sample packing height can be ignored when compared to the applied pressure [25][26][27]. However, due to the high density of the mercury (e.g., 1 cm mercury column corresponds to a pressure of 1.3 kPa), the second assumption may cause large deviations when data is obtained at low pressure values or from a relatively high sample packing.…”

Section: Introductionmentioning

confidence: 99%

Effect of hydrogel particle additives on water-accessible pore structure of sandy soils: A custom pressure plate apparatus and capillary bundle model

Wei

Durian

2013

Phys. Rev. E

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To probe the effects of hydrogel particle additives on the water-accessible pore structure of sandy soils, we introduce a custom pressure plate method in which the volume of water expelled from a wet granular packing is measured as a function of applied pressure. Using a capillary bundle model, we show that the differential change in retained water per pressure increment is directly related to the cumulative cross-sectional area distribution f (r) of the water-accessible pores with radii less than r. This is validated by measurements of water expelled from a model sandy soil composed of 2-mm-diameter glass beads. In particular, it is found that the expelled water is dramatically dependent on sample height and that analysis using the capillary bundle model gives the same pore size distribution for all samples. The distribution is found to be approximately log normal, and the total cross-sectional area fraction of the accessible pore space is found to be f 0 = 0.34. We then report on how the pore distribution and total water-accessible area fraction are affected by superabsorbent hydrogel particle additives, uniformly mixed into a fixed-height sample at varying concentrations. Under both fixed volume and free swelling conditions, the total area fraction of water-accessible pore space in a packing decreases exponentially as the gel concentration increases. The size distribution of the pores is significantly modified by the swollen hydrogel particles, such that large pores are clogged while small pores are formed. Disciplines Physical Sciences and Mathematics | PhysicsThis journal article is available at ScholarlyCommons: https://repository.upenn.edu/physics_papers/606 To probe the effects of hydrogel particle additives on the water-accessible pore structure of sandy soils, we introduce a custom pressure plate method in which the volume of water expelled from a wet granular packing is measured as a function of applied pressure. Using a capillary bundle model, we show that the differential change in retained water per pressure increment is directly related to the cumulative cross-sectional area distribution f (r) of the water-accessible pores with radii less than r. This is validated by measurements of water expelled from a model sandy soil composed of 2-mm-diameter glass beads. In particular, it is found that the expelled water is dramatically dependent on sample height and that analysis using the capillary bundle model gives the same pore size distribution for all samples. The distribution is found to be approximately log normal, and the total cross-sectional area fraction of the accessible pore space is found to be f 0 = 0.34. We then report on how the pore distribution and total water-accessible area fraction are affected by superabsorbent hydrogel particle additives, uniformly mixed into a fixed-height sample at varying concentrations. Under both fixed volume and free swelling conditions, the total area fraction of water-accessible pore space in a packing decreases exponentially as the gel concentration ...

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“…The third approach is to use a statistical model to generate synthetic 3D structures that capture the properties of two dimensional (2D) thin sections (Wu et al, 2006;Okabe & Blunt, 2007). Besides the 3D representation of the pore spaces, the straight capillary tube bundle model represents the pore space in an alternative simple but physically-sound way (van Dijke & Sorbie, 2002a;Dong et al, 2005;Helland & Skjaeveland, 2006b;Lindquist, 2006).…”

Section: Pore Space Reconstructionmentioning

confidence: 99%

Dynamic Capillary Pressure Curves From Pore-Scale Modeling in Mixed-Wet-Rock Images

2013

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Summary In reservoir multiphase-flow processes with high flow rates, both viscous and capillary forces determine the pore-scale fluid configurations, and significant dynamic effects could appear in the capillary pressure/saturation relation. We simulate dynamic and quasistatic capillary pressure curves for drainage and imbibition directly in scanning-electron-microscope (SEM) images of Bentheim sandstone at mixed-wet conditions by treating the identified pore spaces as tube cross sections. The phase pressures vary with length positions along the tube length but remain unique in each cross section, which leads to a nonlinear system of equations that are solved for interface positions as a function of time. The cross-sectional fluid configurations are computed accurately at any capillary pressure and wetting condition by combining free-energy minimization with a menisci-determining procedure that identifies the intersections of two circles moving in opposite directions along the pore boundary. Circle rotation at pinned contact lines accounts for mixed-wet conditions. Dynamic capillary pressure is calculated with volume-averaged phase pressures, and dynamic capillary coefficients are obtained by computing the time derivative of saturation and the difference between the dynamic and static capillary pressure. Consistent with previously reported measurements, our results demonstrate that, for a given water saturation, simulated dynamic capillary pressure curves are at a higher capillary level than the static capillary pressure during drainage, but at a lower level during imbibition, regardless of the wetting state of the porous medium. The difference between dynamic and static capillary pressure becomes larger as the pressure step applied in the simulations is increased. The model predicts that the dynamic capillary coefficient is a function of saturation and is independent of the incremental pressure step, which is consistent with results reported in previous studies. The dynamic capillary coefficient increases with decreasing water saturation at water-wet conditions, whereas, for mixed- to oil-wet conditions, it increases with increasing water saturation. The imbibition simulations performed at mixed- to oil-wet conditions also indicate that the dynamic capillary coefficient increases with decreasing initial water saturation. The proposed modeling procedure provides insights into the extent of dynamic effects in capillary pressure curves for realistic mixed-wet pore spaces, which could contribute to the improved interpretation of core-scale experiments. The simulated capillary pressure curves obtained with the pore-scale model could also be applied in reservoir-simulation models to assess dynamic pore-scale effects on the Darcy scale.

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Immiscible Displacement in the Interacting Capillary Bundle Model Part I. Development of Interacting Capillary Bundle Model

Cited by 73 publications

References 18 publications

A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability

A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability

Effect of hydrogel particle additives on water-accessible pore structure of sandy soils: A custom pressure plate apparatus and capillary bundle model

Dynamic Capillary Pressure Curves From Pore-Scale Modeling in Mixed-Wet-Rock Images

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