A New Method for Generating Pore-Network Models of Porous Media

Raoof, Amir; Hassanizadeh, S. Majid

doi:10.1007/s11242-009-9412-3

Cited by 158 publications

(118 citation statements)

References 47 publications

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“…For example, Øren and coworkers [Øren et al, 1997;Øren et al, 1998;Bakke, 2002, 2003] developed pore-network models of real sandstones and reported mean coordination numbers of 3:5 À 4:5. In the present study, we employ an MDPN model in which pore throats can be oriented in 13 different directions, allowing a maximum coordination number of 26 [Nogues et al, 2012;Vasilyev et al, 2012;Raoof and Hassanizadeh, 2009]. To get a desired coordination number distribution, we follow an elimination procedure to rule out some of the connections (for details, see Raoof and Hassanizadeh [2009]).…”

Section: Coordination Number Distribution In Mdpnmentioning

confidence: 99%

Saturation‐dependent solute dispersivity in porous media: Pore‐scale processes

Raoof

Hassanizadeh

2013

Water Resources Research

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[1] It is known that in variably saturated porous media, dispersion coefficient depends on Darcy velocity and water saturation. In one-dimensional flow, it is commonly assumed that the dispersion coefficient is a linear function of velocity. The coefficient of proportionality, called the dispersivity, is considered to depend on saturation. However, there is not much known about its dependence on saturation. In this study, we investigate, using a pore network model, how the longitudinal dispersivity varies nonlinearly with saturation. We schematize the porous medium as a network of pore bodies and pore throats with finite volumes. The pore space is modeled using the multidirectional pore-network concept, which allows for a distribution of pore coordination numbers. This topological property together with the distribution of pore sizes are used to mimic the microstructure of real porous media. The dispersivity is calculated by solving the mass balance equations for solute concentration in all network elements and averaging the concentrations over a large number of pores. We have introduced a new formulation of solute transport within pore space, where we account for different compartments of residual water within drained pores. This formulation makes it possible to capture the effect of limited mixing due to partial filling of the pores under variably saturated conditions. We found that dispersivity increases with the decrease in saturation, it reaches a maximum value, and then decreases with further decrease in saturation. To show the capability of our formulation to properly capture the effect of saturation on solute dispersion, we applied it to model the results of a reported experimental study.Citation: Raoof, A., and S. M. Hassanizadeh (2013), Saturation-dependent solute dispersivity in porous media: Pore-scale processes,

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Section: Coordination Number Distribution In Mdpnmentioning

confidence: 99%

Saturation‐dependent solute dispersivity in porous media: Pore‐scale processes

Raoof

Hassanizadeh

2013

Water Resources Research

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“…Pore-network models [8][9][10][11][12][13][14][15][16] are a viable tool for understanding multiphase flows at the pore scale, and they are computationally efficient. These models, however, are based upon simplified representations of the complex pore geometry [17], which restricts their predictive capability and accuracy.…”

Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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“…As reported by Xiong et al [64], there exist a number of techniques to construct a pore network model (PNM) representing a given porous medium. They may be categorized into three methods, namely, statistical reconstruction (Adler and Thovert [65], Levitz [66], Roberts and Torquato [67], Ioannidis and Chatzis [68], and Manwart et al [69]), grain-based model (Bryant et al [70], Bakke and Oren [71], Lerdahl et al [72], and Oren and Bakke [73]), and direct mapping model (Al-Raoush and Wilson [74], Jiang et al [75], Shin et al [76], and Raoof and Hassanizadeh [77]). Once the pore network structure has been established, different interesting phenomena can be investigated.…”

Section: Pore Network Modelsmentioning

confidence: 99%

Flow and Transport in Tight and Shale Formations: A Review

et al. 2017

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A review on the recent advances of the flow and transport phenomena in tight and shale formations is presented in this work. Exploration of oil and gas in resources that were once considered inaccessible opened the door to highlight interesting phenomena that require attention and understanding. The length scales associated with transport phenomena in tight and shale formations are rich. From nanoscale phenomena to field-scale applications, a unified frame that is able to encounter the varieties of phenomena associated with each scale may not be possible. Each scale has its own tools and limitations that may not, probably, be suitable at other scales. Multiscale algorithms that effectively couple simulations among various scales of porous media are therefore important. In this article, a review of the different length scales and the tools associated with each scale is introduced. Highlights on the different phenomena pertinent to each scale are summarized. Furthermore, the governing equations describing flow and transport phenomena at different scales are investigated. In addition, methods to solve these equations using numerical techniques are introduced. Cross-scale analysis and derivation of linear and nonlinear Darcy's scale laws from pore-scale governing equations are described. Phenomena occurring at molecular scales and their thermodynamics are discussed. Flow slippage at the nanosize pores and its upscaling to Darcy's scale are highlighted. Pore network models are discussed as a viable tool to estimate macroscopic parameters that are otherwise difficult to measure. Then, the environmental aspects associated with the different technologies used in stimulating the gas stored in tight and shale formations are briefly discussed.

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A New Method for Generating Pore-Network Models of Porous Media

Cited by 158 publications

References 47 publications

Saturation‐dependent solute dispersivity in porous media: Pore‐scale processes

Saturation‐dependent solute dispersivity in porous media: Pore‐scale processes

Multiphase lattice Boltzmann simulations for porous media applications

Flow and Transport in Tight and Shale Formations: A Review

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