Three-phase mixed-wet capillary pressure curves from a bundle of triangular tubes model

Helland, Johan Olav; Skjæveland, S.M.

doi:10.1016/j.petrol.2006.03.018

Cited by 19 publications

(30 citation statements)

References 32 publications

(41 reference statements)

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“…Two types of methods are adopted for representing the cross-sections of the straight tube model. The first representation method is cross-sections with analytical angular geometries and a pore size distribution function (Kovscek et al, 1993;Ma et al, 1996;van Dijke et al, 2004;Helland & Skjaeveland, 2006b); the other method is extracted crosssection geometries directly from rock images (Lindquist, 2006;Virnovsky et al, 2009;Glantz & Hilpert, 2011;Kim & Lindquist, 2012). The straight tube model with angular tube cross-sections allow the development of mixed wettability and cross-sectional multiphase configurations and thus are well suited as a basis for developing simple, yet physically-based models accounting for some of the important capillary phenomena that occur in porous media;…”

Section: Motivation and Scientific Contributionsmentioning

confidence: 99%

“…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%

“…This conceptual hysteresis model has been used broadly in pore-network modeling to investigate the hysteresis effects on multiphase flow in mixed-wet porous media (Øren & Bakke, 2003;Piri & Blunt, 2004Helland & Skjaeveland, 2006b;Ryazanov et al, 2009;Kim & Lindquist, 2012).…”

Section: Mixed-wettability Modelmentioning

confidence: 99%

“…For spontaneous imbibition, the capillary entry pressure is calculated similarly as in drainage if the hinging contact angle has reached the advancing contact angle. If this is not the case, such as in forced imbibition (negative capillary pressure), the entry pressure is affected by the initial configuration and the fraction of oil-wet and water-wet pore wall areas Helland & Skjaeveland, 2006b;.…”

mentioning

confidence: 99%

“…Literature Review water-wet Bentheimer sandstone and they found that spreading systems clearly display oil-layer behavior, while non-spreading ones display fewer oil layers. Figure 2.4(b) shows an example when the pore space becomes oil-wet, and thus oil layers may forme between gas and water at negative oil-water capillary pressure (Piri & Blunt, 2004;Helland & Skjaeveland, 2006b;van Dijke et al, 2007).…”

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confidence: 99%

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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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Section: Motivation and Scientific Contributionsmentioning

confidence: 99%

Section: Pore Space Reconstructionmentioning

confidence: 99%

Section: Mixed-wettability Modelmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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

2013

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References

2018

Capillary Flows in Heterogeneous and Random Porous Media 1

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Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 8. Interface and common curve dynamics

Gray

Miller

2010

Advances in Water Resources

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This work is the eighth in a series that develops the fundamental aspects of the thermodynamically constrained averaging theory (TCAT) that allows for a systematic increase in the scale at which multiphase transport phenomena is modeled in porous medium systems. In these systems, the explicit locations of interfaces between phases and common curves, where three or more interfaces meet, are not considered at scales above the microscale. Rather, the densities of these quantities arise as areas per volume or length per volume. Modeling of the dynamics of these measures is an important challenge for robust models of flow and transport phenomena in porous medium systems, as the extent of these regions can have important implications for mass, momentum, and energy transport between and among phases, and formulation of a capillary pressure relation with minimal hysteresis. These densities do not exist at the microscale, where the interfaces and common curves correspond to particular locations. Therefore, it is necessary for a well-developed macroscale theory to provide evolution equations that describe the dynamics of interface and common curve densities. Here we point out the challenges and pitfalls in producing such evolution equations, develop a set of such equations based on averaging theorems, and identify the terms that require particular attention in experimental and computational efforts to parameterize the equations. We use the evolution equations developed to specify a closed two-fluid-phase flow model.

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Three-phase mixed-wet capillary pressure curves from a bundle of triangular tubes model

Cited by 19 publications

References 32 publications

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

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

References

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 8. Interface and common curve dynamics

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