Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries

Hassanizadeh, S. M.; Gray, William G.

doi:10.1016/0309-1708(90)90040-b

Cited by 534 publications

(498 citation statements)

References 24 publications

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“…With this work, we provide experimental evidence to support the theories which propose that for a complete description of two-or multiphase flow, interfacial area should be included as one of the state variables, in addition to pressure and saturation [Hassanizadeh and Gray, 1990, 1993a, 1993b.…”

Section: Introductionsupporting

confidence: 53%

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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Section: Introductionsupporting

confidence: 53%

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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“…Indeed, the entropy inequality approach we use here has proven to be a powerful and invaluable tool for the analysis of porous media systems. For example, in the case of two-phase flow, when interfaces and their properties are taken into account, new forms of Darcy's law and capillarypressure saturation relationships emerge [see Hassanizadeh and Gray, 1990]. In such a complex system the derivation of constitutive relationships by making ad hoc assumptions and without using the second law of thermodynamics as a constraint may lead to incomplete and/or unacceptable results.…”

Section: Resultsmentioning

confidence: 99%

Conservation equations governing hillslope responses: Exploring the physical basis of water balance

Reggiani

Sivapalan

Hassanizadeh

2000

Water Resources Research

131

135

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“…For a given soil, many P c -S w curves pertaining to different drainage/imbibition stages and histories are possible. Using a thermodynamically constrained averaging approach, Hassanizadeh and Gray (1990) derived an extended theory of capillarity. According to their results, capillary pressure is not only a function of saturation but also of specific areas of the three interfaces that are present in a two-phase flow system:…”

Section: Introductionmentioning

confidence: 99%

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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Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries

Cited by 534 publications

References 24 publications

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

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

Conservation equations governing hillslope responses: Exploring the physical basis of water balance

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

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