Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines

Held, Rudolf; Celia, Michael A.

doi:10.1016/s0309-1708(00)00060-9

Cited by 132 publications

(119 citation statements)

References 40 publications

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“…Hassanizadeh and Gray (1993b) conjectured that the resulting surface might be the same for drainage and imbibition, i.e., it might be devoid of hysteresis. This conjecture has been investigated in few studies using computational and experimental approaches (see, e.g., Reeves and Celia 1996;Held and Celia 2001;Chen and Kibbey 2006).…”

Section: Introductionmentioning

confidence: 99%

“…3 were done by Reeves and Celia (1996) and later by Held and Celia (2001) using pore-network models. They developed a static pore-scale cubic lattice network model that included spheres and bi-conical elements representing pore bodies and pore throats, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Later, Held and Celia (2001) showed that the hysteresis in the a nw -S w -P c surface could be almost eliminated if a certain choice of fluid displacement parameters is used. For some specific values for snap-off and local coefficients related to the fluid configuration, they found a separation of less than 1.5% between imbibition and drainage surfaces.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling

2007

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To gain insight in relationships among capillary pressure, interfacial area, saturation, and relative permeability in two-phase flow in porous media, we have developed two types of pore-network models. The first one, called tube model, has only one element type, namely pore throats. The second one is a sphere-and-tube model with both pore bodies and pore throats. We have shown that the two models produce distinctly different curves for capillary pressure and relative permeability. In particular, we find that the tube model cannot reproduce hysteresis. We have investigated some basic issues such as effect of network size, network dimension, and different trapping assumptions in the two networks. We have also obtained curves of fluid-fluid interfacial area versus saturation. We show that the trend of relationship between interfacial area and saturation is largely influenced by trapping assumptions. Through simulating primary and scanning drainage and imbibition cycles, we have generated two surfaces fitted to capillary pressure, saturation, and interfacial area (P c -S w -a nw ) points as well as to relative permeability, saturation, and interfacial area (k r -S w -a nw ) points. The two fitted three-dimensional surfaces show very good correlation with the data points. We have fitted two different surfaces to P c -S w -a nw points for drainage and imbibition separately. The two surfaces do not completely coincide. But, their mean absolute difference decreases with increasing overlap in the statistical distributions of pore bodies and pore throats. We have shown that interfacial area can be considered as an essential variable for diminishing or eliminating the hysteresis observed in capillary pressure-saturation (P c -S w ) and the relative permeability-saturation (k r -S w ) curves.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling

2007

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“…[60] As it was mentioned above, theoretical, numerical, and experimental results have shown that it is crucially important to include interfacial area for a complete description of two-phase flow in porous media [see e.g., Gray, 1990, 1993b;Held and Celia, 2001;Cheng et al, 2004;Joekar-Niasar et al, 2010b;Hassanizadeh, 2011, 2012].…”

Section: Resultsmentioning

confidence: 99%

On the fabrication of PDMS micromodels by rapid prototyping, and their use in two‐phase flow studies

Karadimitriou

Musterd

Kleingeld

et al. 2013

Water Resources Research

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[1] Micromodels have been increasingly employed in various ways in porous media research, to study the pore-scale behavior of fluids. Micromodels have proven to be a valuable tool by allowing the observation of flow and transport at the micron scale in chemical, biological, and physical applications. They have helped to improve our insight of flow and transport phenomena at both microscale and macroscale. Up to now, most micromodels that have been used to study the role of interfaces in two-phase flow were small, square, or nearly square domains. In this work, an elongated PDMS micromodel, bearing a flow network with dimensions 5Â30 mm 2 was manufactured. The pore network was designed such that the REV size was around 5Â7 mm 2 . So, our flow network was considered to be nearly four times the REV size. Using such micromodels, we established that the inclusion of interfacial area between the wetting and the nonwetting fluids models the hysteretic relationship between capillary pressure and saturation in porous media. In this paper, we first present the procedure for manufacturing PDMS micromodels with the use of soft lithography. Then, we describe an innovative and novel optical setup that allows the real-time visualization of elongated samples. Finally, we present the results obtained by quasi-static, two-phase flow experiments.

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“…Thus, it is necessary to develop more complicated models to improve the prediction accuracy. More complicated physical and chemical processes, such as the mass transfer process [21][22][23][24][25][26][27], biological process [28], and foam displacement [29,30], etc., have been taken into account in the pore network model [4,[31][32][33][34][35]. For details about the pore network model, see References [36,37].…”

Section: Introductionmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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Abstract:At the high water cut stage, the residual oil in a reservoir becomes complex and dispersed. Moreover, it is challenging to achieve good predictions of the movement of oil and water in a reservoir according to the macroscopic models based on the statistic parameters of this scenario. However, pore-scale simulation technology based on directly tracking the interaction among different phases can make an accurate prediction of the fluid distribution in the pore space, which is highly important in the improvement of the recovery rate. In this work, pore-scale simulation methods, including the pore network model, lattice Boltzmann method, Navier-Stokes equation-based interface tracking methods, and smoothed particle hydrodynamics, and relevant technologies are summarized. The principles, advantages, and disadvantages, as well as the degree of difficulty in the implementation are analyzed and compared. Problems in the current simulation technologies, micro sub-models, and applications in physicochemical percolation are also discussed. Finally, potential developments and prospects in this field are summarized.

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Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines

Cited by 132 publications

References 40 publications

Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling

Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling

On the fabrication of PDMS micromodels by rapid prototyping, and their use in two‐phase flow studies

Advances in Pore-Scale Simulation of Oil Reservoirs

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