| 1 | A. Abrams, Soc.
Petr. Eng. Journal 15, 437 (1975). |
| 2 | N. Wardlaw and M. McKellar, The
Canadian Journal of Chemical Engineering 63, 525 (1985). |
| 3 | L. Lake, Enhanced Oil Recovery (Prentice Hall, Englewood
Cliffs, 1989). |
| 4 | J. Melrose and C. Brandner, J.Can.Pet.Technol. 13, 64 (1974). |
| 5 | R. Armstrong, A.Georgiadis, H. Ott, D. Klemin, and S. Berg, Geophysical Research Letters 41, 1 (2014a). |
| 6 | R. Armstrong and S. Berg, Phys.Rev.E 88, 043010
(2013). |
| 7 | R. Armstrong, N. Evseev,
D. Koroteev, and S. Berg, Advances in Water Resources 77, 57 (2015). |
| 8 | F. Dullien, Porous Media - Fluid
Transport and Pore Structure (Academic Press, San Diego, 1992). |
| 9 | R. Hilfer, Advances in Chemical Physics XCII, 299 (1996). |
| 10 | R. Larson, H. Davis, and L. Scriven, Chemical
Engineering Science 36, 75 (1981). |
| 11 | A. Georgiadis, S. Berg,
A. Makurat, G. Maitland, and H. Ott, Phys.Rev.E 88, 033002 (2013). |
| 12 | A. Payatakes, Ann.Rev.Fluid Mech. 14, 365 (1982). |
| 13 | R. E. Hinkley, M. M. Dias, and A. C. Payatakes, PCH
PhysicoChemical Hydrodynamics 8, 185 (1987). |
| 14 | R. Lenormand, Journal of physics C 2, 79 (1990). |
| 15 | R. Hilfer, Physical Review E 58, 2090 (1998). |
| 16 | R. Hilfer and H. Besserer, in Porous Media:
Physics, Models, Simulation, edited by A. Dmitrievsky and M. Panfilov (World Scientific Publ. Co., Singapore, 2000) p. 133. |
| 17 | R. Hilfer and H. Besserer, Physica B 279, 125
(2000b). |
| 18 | R. Hilfer, Physica A 359, 119
(2006a). |
| 19 | R. Hilfer, Phys.Rev.E 73, 016307
(2006b). |
| 20 | R. Hilfer, Physica A 371, 209
(2006c). |
| 21 | R. Hilfer, in CP1091, Modeling
and Simulation of Materials, edited by P. Garrido, P. Hurtado, and J. Marro (American
Institute of Physics, New York, 2009) p. 141. |
| 22 | R. Hilfer and F. Doster, Transport in Porous Media 82, 507 (2010). |
| 23 | F. Doster, P. Zegeling, and R. Hilfer, Physical Review
E 81, 036307 (2010). |
| 24 | F. Doster and R. Hilfer, New
Journal of Physics 13, 123030 (2011). |
| 25 | F. Doster, O. Hönig, and R. Hilfer, Phys.Rev.E 86, 016317 (2012). |
| 26 | R. Hilfer, F. Doster, and P. Zegeling, Vadose Zone
Journal 11, vzj2012.0021
(2012). |
| 27 | F. Doster and R. Hilfer, Water
Resources Research 50, 1
(2014). |
| 28 | M. Reed and B. Simon, Methods of Modern Mathematical
Physics, Vol. I: Functional Analysis (Academic Press, New York, 1972). |
| 29 | R. Hilfer, in Räumliche
Statistik und Statistische Physik, Vol. Lecture
Notes in Physics, Vol. 554, edited by D. Stoyan and K. Mecke (Springer, Berlin, 2000) p. 203. |
| 30 | R. Hilfer, Transport in Porous Media 46, 373 (2002). |
| 31 | V. Jikov, S. Kozlov, and O. Oleinik, Homogenization of Differential
Operators and Integral Functionals (Springer, Berlin, 1994). |
| 32 | R. Hilfer and P. Øren, Transport in Porous Media 22, 53 (1996). |
| 33 | E. Buckingham, Studies on the
movement of soil moisture, Tech. Rep. (U.S.Department of Agriculture, Bureau of Soils, 1907). |
| 34 | L. Richards, Physics 1, 318
(1931). |
| 35 | R. Wyckoff and H. Botset, Physics 7, 325
(1936). |
| 36 | M. Muskat and M. Meres, Physics 7, 346 (1936). |
| 37 | M. Leverett, Trans. AIME 142, 152
(1941). |
| 38 | D. Weitz, J. Stokes,
R. Ball, and A. Kushnik, Phys. Rev. Lett. 59, 2967 (1987). |
| 39 | A. Calvo, I. Paterson,
R. Chertcoff, M. Rosen, and J. Hulin, J. Coll. Interface Sci. 141, 384 (1991). |
| 40 | L. Anton and R. Hilfer, Physical Review
E 59, 6819 (1999). |
| 41 | E. Ojeda, F. Preston, and J. Calhoun, Producers
Monthly 18, 20 (1953). |
| 42 | F. Kalaydijan, Transport in Porous Media 5, 215 (1990). |
| 43 | R. Bentsen, Journal of Petroleum Science and Engineering 48, 81 (2005). |
| 44 | V. Joekar-Niasar, F. Doster, R. Armstrong,
D. Wildenschild, and M. Celia, Water Resources Research 49, 4244 (2013). |
| 45 | M. Rücker, S. Berg,
R. Armstrong, A. Georgiadis, H. Ott, A. Schwing, R. Neiteler, N. Brusse, A. Makurat, L. Leu, M. Wolf, F. Khan, F. Enzmann, and M. Kersten, Geophysical Research Letters, in
press (2015). |
| 46 | R. Armstrong, H. Ott,
A. Georgiadis, M. Rücker, A. Schwing, and S. Berg, Water Resources Research 50, 10.1002/2014WR015858 (2014b). |
| 47 | W. Haines, The
Journal of Agricultural Science 20, 97 (1930). |
| 48 | F. Moebius and D. Or, Journal of Colloid
and Interface Science 377, 406 (2012). |
| 49 | D. Stauffer and A. Aharony, Introduction to
Percolation Theory (Taylor and Francis, London, 1992). |
| 50 | D. DiCarlo, J. Cidoncha, and C. Hickey, Geophysical
Research Letters 30, 1901 (2003). |
