Non-equilibrium interphase heat and mass transfer during two-phase flow in porous media—Theoretical considerations and modeling

Niessner, Jennifer; Hassanizadeh, S. Majid

doi:10.1016/j.advwatres.2009.09.007

Cited by 43 publications

(32 citation statements)

References 39 publications

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“…They have shown that the extended model can properly capture physical processes such as capillary hysteresis. They have also shown that the introduction of interfacial area provides a physically based model of kinetic mass and heat transfer [ Niessner and Hassanizadeh , 2009a, 2009b].…”

Section: Introductionmentioning

confidence: 99%

Specific interfacial area: The missing state variable in two‐phase flow equations?

Niasar

Hassanizadeh

2011

Water Resources Research

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[1] Classical Darcy's equation for multiphase flow assumes that gravity and the gradient in fluid pressure are the only driving forces and resistance to the flow is parameterized by (relative) permeability as a function of saturation. It is conceivable that, in multiphase flow, other driving forces may also exist. This would mean that such nonequilibrium effects are lumped into a permeability coefficient. Indeed, many studies have shown that the relative permeability coefficient generally depends not only on saturation but also on dynamics of the system. Through the application of rational thermodynamics, a theory of two-phase flow had been developed in which interfacial areas were introduced as separate thermodynamic entities and their macroscale effects were explicitly included. This theory includes new driving forces whose significance needs still to be established. To study new terms in the theory, we employ a dynamic pore network model called DYPOSIT. A long pore network (several representative elementary volumes connected in series) is generated, which represents as a one-dimensional porous medium column. This model provides pore scale distribution of local phase pressures, capillary pressure, interfacial area, saturation, and flow rate, which are averaged to obtain the macroscale distributions of these variables. Our analysis shows that there are discrepancies between the simulation results and the classical equations to describe the transient behavior, especially for the nonwetting phase transient permeability. The coefficients in the extended equations are quantified and parameterized. Although under the applied Dirichlet boundary conditions, flow varies significantly, there is a clear trend illustrating dependency of coefficients on saturation, independent of dynamic conditions. Furthermore, using the new coefficients, it is possible to explain either transient or steady state flow regimes, which is a new achievement.

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Section: Introductionmentioning

confidence: 99%

Specific interfacial area: The missing state variable in two‐phase flow equations?

Niasar

Hassanizadeh

2011

Water Resources Research

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“…The riser model considered in the latter study is a one-dimensional isothermal flow and the results show nonlinearity in the fluid flow in the riser. A theoretical analysis of heat and mass transfer for interacting multiphase mixtures was outlined by Niessner and Hassanizadeh [11]. The model is well suited for non-isothermal conditions with heat transfer between phases.…”

Section: List Of Symbolsmentioning

confidence: 99%

Heat transfer and multiphase flow with hydrate formation in subsea pipelines

Odukoya

Naterer

2015

Heat Mass Transfer

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“…As both mass and heat transfer take place across the phase interfaces and these are highly dependent on (proportional to) the interfacial area, these transfer processes can only be represented in a physically based way if the amount of interfacial area is known (see Figure 1). Niessner and Hassanizadeh [2008, 2009a, 2009b] have modeled two‐phase flow, using the thermodynamically based set of equations developed by Hassanizadeh and Gray [1990], and have shown that this interfacial area–based model is, indeed, able to describe hysteresis as well as kinetic interphase mass and energy transfer in a physically based way.…”

Section: Introductionmentioning

confidence: 99%

Pore‐scale determination of parameters for macroscale modeling of evaporation processes in porous media

Ahrenholz

Niessner

Helmig

et al. 2011

Water Resources Research

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[1] Evaporation is an important process in many natural and technical systems, such as the unsaturated zone of the subsurface or microchannel evaporators. For the understanding and prediction of the involved processes, numerical simulations of multiphase flow and transport processes are an important tool. In order to achieve an accurate, physically based description of kinetic interphase mass and heat transfer occurring during evaporation, the numerical model has to account for the interfacial areas between phases. A recently developed model for two-phase flow in porous media is able to account for the involved processes by using interfacial areas explicitly as parameters in the model. The crucial issue, however, is the determination of the relationships between specific interfacial areas, capillary pressure, and saturation in this paper, we present a multiphase lattice Boltzmann model, which allows us to determine these relationships. On the basis of the scanned geometry of a natural porous medium, the relationships between specific interfacial areas, capillary pressure, and saturation are determined. To the best of our knowledge, this is the first time that fluid-solid specific interfacial area relationships have been obtained from pore-scale data. Using these functions, we present the results of macroscale simulations of an evaporator device and of drying in a porous medium.Citation: Ahrenholz, B., J. Niessner, R. Helmig, and M. Krafczyk (2011), Pore-scale determination of parameters for macroscale modeling of evaporation processes in porous media, Water Resour. Res., 47, W07543,

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Non-equilibrium interphase heat and mass transfer during two-phase flow in porous media—Theoretical considerations and modeling

Cited by 43 publications

References 39 publications

Specific interfacial area: The missing state variable in two‐phase flow equations?

Specific interfacial area: The missing state variable in two‐phase flow equations?

Heat transfer and multiphase flow with hydrate formation in subsea pipelines

Pore‐scale determination of parameters for macroscale modeling of evaporation processes in porous media

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