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7.4 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1027.4.1 Gels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1027.4.2 Sandstone slabs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1067.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1128. Model of reactive transport of an oil-soluble chemical in porous media 1138.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1138.2 Theoretical background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1148.2.1 Problem statement . . . . . . . . . . . . . . . . . . . . . . . . . . . 1148.2.2 Material balance equation . . . . . . . . . . . . . . . . . . . . . . . 1158.2.3 Initial and boundary conditions . . . . . . . . . . . . . . . . . . . . 1168.2.4 Mass transfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1168.2.5 Reaction terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1178.3 Method of solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1188.3.1 General equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1188.3.2 Numerical solution . . . . . . . . . . . . . . . . . . . . . . . . . . . 1198.4 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1198.4.1 Choice of parameters . . . . . . . . . . . . . . . . . . . . . . . . . . 1198.4.2 Case A. Batch injection: example . . . . . . . . . . . . . . . . . . . 1228.4.3 Case A. Batch injection: effect of main parameters . . . . . . . . . 1258.4.4 Case B. Continuous injection: example . . . . . . . . . . . . . . . . 1268.4.5 Case B. Continuous injection: effect of main parameters . . . . . . 1278.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1289. Concluding remarks and outlook . . . . . . . . . . . . . . . . . . . . . . . . 1319.1 Coupled mass transfer and gel reaction . . . . . . . . . . . . . . . . . . . . 1319.2 Permeability modification . . . . . . . . . . . . . . . . . . . . . . . . . . . 1329.3 Water shut-off treatments . . . . . . . . . . . . . . . . . . . . . . . . . . . 1339.4 Outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1339.4.1 Extended physical-chemical survey . . . . . . . . . . . . . . . . . . 1339.4.2 Fine-tuning of core injection experiments . . . . . . . . . . . . . . . 1349.4.3 Employing chemical shift . . . . . . . . . . . . . . . . . . . . . . . . 1359.4.4 Pore scale effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1369.4.5 Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136Appendix A. Nuclear Magnetic Resonance principles and set-up . . . . . . 141A.1 Semi-classical theory of NMR . . . . . . . . . . . . . . . . . . . . . . . . . 141A.2 NMR set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144Appendix B. Derivation of partitioning equation . . . . . . . . . . . . . . . . 147Appendix C. Effect of slip on bending experiment . . . . . . . . . . . . . . . 149Appendix D. Phase density approximation . . . . . . . . . . . . . . . . . . . 153Appendix E. Numerical discretization of model . . . . . . . . . . . . . . . . 155Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171iii
Samenvatting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173List of publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175Dankwoord . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177About the author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179iv
Page 2: TWO-PHASE REACTIVE TRANSPORTOF AN O
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Part IIGel placement in porous mate
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-142 Appendix A, - C D *, - D
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144 Appendix Awhere S 0 is a consta
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146 Appendix AThe 0.95 Tesla scanne
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148 Appendix B
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150 Appendix CwhereΩ A (θ) = −2
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152 Appendix C
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154 Appendix D
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156 Appendix Eand equal to zero in
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158 Appendix EAs the saturations, d
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160 Bibliography[12] B. Vinot, R. S
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162 Bibliography[40] M. D. Mantle a
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164 Bibliography[70] F. J. M. van d
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166 Bibliography[97] K. Yoshida, A.
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168 Bibliography[127] G. W. Scherer
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170 Bibliography
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172 Summaryand gelation rates. The
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174 Samenvattingwaterfase. De T 1 v
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176 List of publications
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178 Dankwoordimmer opgewekte stemmi
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Prior to the speech, Harald Cramér
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