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CONTENTS 8.3.1 Non-adsorptive solute . . . . . . . . . . . . . . . . . . . 185 8.3.2 Two sites equilibrium adsorption . . . . . . . . . . . . . 187 8.3.3 Two sites kinetic adsorption . . . . . . . . . . . . . . . . 190 8.3.4 One site equilibrium and one site kinetic adsorption . . 192 9 Summary and Conclusions 195 Appendices 202 A. Search algorithm in MDPN model . . . . . . . . . . . . . . . . 202 B. Pore connections in MDPN model . . . . . . . . . . . . . . . . 205 C. Averaging of pore-scale transport equation . . . . . . . . . . . . 207 References 209 Samenvatting 237 viii
LIST OF FIGURES 1.1 A network element in a Multi-Directional Pore Network. . . . . 7 1.2 Flowchart of computational features in CPNS. . . . . . . . . . 15 2.1 Network consisting of 8 cubes, size: N i = 3, N j = 3, N k = 3 . . 24 2.2 Connection matrix for a network with full connections . . . . . 27 2.3 Regular-pattern networks . . . . . . . . . . . . . . . . . . . . . 29 2.4 Example of eliminated sites, isolated clusters, and dead-end bonds. 32 2.5 Elimination of isolated clusters within an irregular lattice. . . . 33 2.6 Coordination number distributions of real sandstone vs. generated network. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.7 Coordination number distributions of real granular porous media vs. generated network. . . . . . . . . . . . . . . . . . . . . . . . 37 3.1 Conceptual representation of the Single-Tube Model. . . . . . . 53 3.2 Breakthrough curve of concentration from Single-Tube Model. . 55 3.3 P e p vs. Taylor dispersion . . . . . . . . . . . . . . . . . . . . . 57 3.4 Resulting breakthrough curves from pore-scale and upscale models 58 3.5 The relation between macro-scale kdet ∗ as a function of pore-scale P e p and κ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 ix
Page 1 and 2: Reactive/Adsorptive Transport in (P
Page 3: text Reactive/Adsorptive Transport
Page 6 and 7: Promoter: Prof.dr.ir. S.M. Hassaniz
Page 8 and 9: My colleagues and other staff in th
Page 10 and 11: CONTENTS 2.2.3 Connection Matrix .
Page 12 and 13: CONTENTS 5.3.3 Regular hyperbolic p
Page 16 and 17: LIST OF FIGURES 3.6 The relation be
Page 18 and 19: LIST OF FIGURES 6.5 Breakthrough cu
Page 20 and 21: LIST OF TABLES 2.1 Expressions for
Page 22 and 23: 1. Introduction . . . . . . . . . .
Page 37: Part I Generation of Multi-Directio
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3.1 Introduction . . . . . . . . .
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3.2 Theoretical upscaling of adsorp
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3.3 Numerical upscaling of adsorbin
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3.4 Discussion of results . . . . .
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3.5 Conclusion . . . . . . . . . .
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Published as: Raoof, A. and Hassani
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4.1 Introduction . . . . . . . . .
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4.1 Introduction . . . . . . . . .
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4.2 Description of the Pore-Network
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4.3 Simulating flow and transport w
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4.3 Simulating flow and transport w
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4.4 Macro-scale adsorption coeffici
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4.5 Discussion . . . . . . . . . .
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4.5 Discussion . . . . . . . . . .
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4.6 Conclusions . . . . . . . . . .
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Raoof, A. and Hassanizadeh S. M.,
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5.1 Introduction . . . . . . . . .
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5.1 Introduction . . . . . . . . .
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5.2 Network Generation . . . . . .
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5.2 Network Generation . . . . . .
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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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5.4 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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