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3. Upscaling of Adsorbing Solutes; Pore Scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . network models where tube-scale relationships are needed to model adsorbing solute transport in individual pore throats. Using the pore-network model we could scale up from the pore scale to the scale of an REV or even to core scale. 64
Published as: Raoof, A. and Hassanizadeh S. M., “Upscaling Transport of Adsorbing Solutes in Porous Media: Pore-Network Modeling”, Vadose Zone Journal, vol. 9, pp. 624-636, 2010. CHAPTER 4 UPSCALING TRANSPORT OF ADSORBING SOLUTES IN POROUS MEDIA: PORE-NETWORK MODELING Experience is a good school. But the fees are high. Heinrich Heine Abstract The main objective of this research is to enhance our understanding of, and obtain quantitative relationships between, Darcy-scale adsorption parameters and pore-scale flow and adsorption parameters, using a 3D MDPN model. This involves scale up from a simplified but reasonable representation of microscopic physics to the scale of interest in practical applications. This upscaling will be carried out in two stages: i) from a local scale to the effective pore scale, and ii) from effective the pore scale to the scale of a core. The first stage of this upscaling, from local scale to effective pore scale, has been discussed in Chapter 3. There, we found relationships between local-scale parameters (such as the equilibrium adsorption coefficient, k d , and the Peclet number, P e) and effective parameters (such as the attachment coefficient, k att, and the detachment coefficient, k det ). Here, we perform upscaling by means of a 3D MDPN model, which is composed of a large number of interconnected pore bodies (represented by spheres) and pore throats (represented by tubes). Upscaled transport parameters are obtained by fitting the solution of the classic advection-dispersion equation with adsorption to the average concentration breakthrough curves at the outlet of the pore network. This procedure has resulted in relationships for upscaled adsorption parameters in terms of micro-scale adsorption coefficient and flow velocity.
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Reactive/Adsorptive Transport in (P
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text Reactive/Adsorptive Transport
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Promoter: Prof.dr.ir. S.M. Hassaniz
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My colleagues and other staff in th
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CONTENTS 2.2.3 Connection Matrix .
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CONTENTS 5.3.3 Regular hyperbolic p
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CONTENTS 8.3.1 Non-adsorptive solut
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LIST OF FIGURES 3.6 The relation be
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LIST OF FIGURES 6.5 Breakthrough cu
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LIST OF TABLES 2.1 Expressions for
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1. Introduction . . . . . . . . . .
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1. Introduction . . . . . . . . . .
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1. Introduction . . . . . . . . . .
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1. Introduction . . . . . . . . . .
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1. Introduction . . . . . . . . . .
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1. Introduction . . . . . . . . . .
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Page 37: Part I Generation of Multi-Directio
Page 40 and 41: 2. Generating MultiDirectional Pore
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Page 63 and 64: 3.1 Introduction . . . . . . . . .
Page 67 and 68: 3.2 Theoretical upscaling of adsorp
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Page 91 and 92: 4.2 Description of the Pore-Network
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Page 121 and 122: 5.3 Modeling flow in the network .
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5.4 Results . . . . . . . . . . . .
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5.4 Results . . . . . . . . . . . .
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5.4 Results . . . . . . . . . . . .
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5.4 Results . . . . . . . . . . . .
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5.5 Conclusion Our approach is also
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6. Dispersivity under Partially-Sat
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7. Adsorption under Partially-Satur
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8. Numerical scheme . . . . . . . .
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8. Numerical scheme substituting fo
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9. Summary and Conclusions . . . .
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Appendix A . . . . . . . . . . . .
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Appendix A . . . . . . . . . . . .
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Appendix B . . . . . . . . . . . .
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Appendix C average velocity: ṽ =
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REFERENCES . . . . . . . . . . . .
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REFERENCES D.F. Yule and W.R. Gardn
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