B. Ball, K. Dobbie, J. Parker, and K. Smith, The influence of gas transport and porosity on methane oxidation in soils, Journal of Geophysical Research: Atmospheres, vol.41, issue.D19, pp.23301-23308, 1997.
DOI : 10.2136/sssaj1977.03615995004100010035x

E. Barrios, J. Cobo, I. Rao, R. Thomas, E. Amezquita et al., Fallow 408 management for soil fertility recovery in tropical Andean agroecosystems in Colombia, p.409, 2005.

R. Brooks and A. Corey, Hydraulic properties of porous media, Hydrol, 1964.

X. Chen, Statistical and geostatistical features of streambed hydraulic conductivities in 413, 2005.

F. Conen and K. Smith, A re-examination of closed flux chamber methods for the measurement of trace gas emissions from soils to the atmosphere, European Journal of Soil Science, vol.46, issue.4, pp.701-707, 1998.
DOI : 10.1111/j.1365-2389.1995.tb01349.x

R. Ewing and A. Hunt, Dependence of the Electrical Conductivity on Saturation in Real Porous Media, Vadose Zone Journal, vol.5, issue.2, pp.731-741, 2006.
DOI : 10.2136/vzj2005.0107

S. Farhan, T. Holsen, and J. Budiman, Interaction of Soil Air Permeability and Soil Vapor Extraction, Journal of Environmental Engineering, vol.127, issue.1, pp.32-37, 2001.
DOI : 10.1061/(ASCE)0733-9372(2001)127:1(32)

B. Ghanbarian-alavijeh and A. Hunt, Comparison of the predictions of universal scaling of 422 the saturation dependence of the air permeability with experiment, Water Resources Research, vol.423, issue.48, pp.10-1029, 2012.

. Hendrayanto, K. Kosugi, and T. Mizuyama, Scaling hydraulic properties of forest soils, 425 Hydrological Processes, pp.521-538, 2000.
DOI : 10.2136/sssaj1988.03615995005200060045x

S. Henley, Geostatistics ? cracks in the foundations?, Earth Science Computer Applications, vol.427, issue.16, pp.1-3, 2001.

J. Hopmans, A comparison of various methods to scale soil hydraulic properties, Journal of Hydrology, vol.93, issue.3-4, pp.241-256, 1987.
DOI : 10.1016/0022-1694(87)90098-9

A. Hunt, Continuum Percolation Theory for Saturation Dependence of Air Permeability, Vadose Zone Journal, vol.4, issue.1, p.431, 2005.
DOI : 10.2113/4.1.134

A. Hunt and R. Ewing, Percolation Theory for Flow in Porous Media, Lect. Notes Phys, vol.880, issue.771, 2009.
DOI : 10.1007/978-3-319-03771-4

B. Iversen, P. Moldrup, P. Schjønning, and P. Loll, AIR AND WATER PERMEABILITY IN DIFFERENTLY TEXTURED SOILS AT TWO MEASUREMENT SCALES, Soil Science, vol.166, issue.10, pp.643-659, 2001.
DOI : 10.1097/00010694-200110000-00001

B. Iversen, P. Moldrup, P. Schjønning, and O. Jacobsen, Field application of a portable air 437 permeameter to characterize spatial variability in air and water permeability, Vadose Zone 438 Journal, pp.618-626, 2003.

B. Iversen, P. Moldrup, and P. Loll, Runoff modelling at two field slopes: use ofin situ measurements of air permeability to characterize spatial variability of saturated hydraulic conductivity, Hydrological Processes, vol.18, issue.5, pp.1009-1026, 2004.
DOI : 10.1002/hyp.1455

P. Jain, J. Powell, T. Townsend, and D. Reinhart, Air Permeability of Waste in a Municipal Solid Waste Landfill, Journal of Environmental Engineering, vol.131, issue.11, pp.1565-1573, 2005.
DOI : 10.1061/(ASCE)0733-9372(2005)131:11(1565)

P. Kabat, R. Hutjes, and R. Feddes, The scaling characteristics of soil parameters: From plot scale heterogeneity to subgrid parameterization, Journal of Hydrology, vol.190, issue.3-4, pp.363-396, 1997.
DOI : 10.1016/S0022-1694(96)03134-4

K. Kawamoto, P. Moldrup, P. Schjønning, B. Iversen, T. Komatsu et al., Gas Transport Parameters in the Vadose Zone: Development and Tests of Power-Law Models for Air Permeability, Vadose Zone Journal, vol.5, issue.4, pp.1205-1215, 2006.
DOI : 10.2136/vzj2006.0030

D. Kirkham, Field Method for Determination of Air Permeability of Soil in its Undisturbed State1, Soil Science Society of America Journal, vol.11, issue.C, pp.93-99, 1947.
DOI : 10.2136/sssaj1947.036159950011000C0018x

L. Klinkenberg, The permeability of porous media to liquids and gases American Petroleum Institute, Drilling and 452 production practices, pp.200-213, 1941.

J. Lipiec and R. Hatano, Quantification of compaction effects on soil physical properties and crop growth, Geoderma, vol.116, issue.1-2, pp.107-136, 2003.
DOI : 10.1016/S0016-7061(03)00097-1

P. Loll, P. Moldrup, P. Schjønning, and H. Riley, Predicting saturated hydraulic conductivity 456 from air permeability: Application in stochastic water infiltration modeling, Water Resources Research, vol.457, issue.35, pp.2387-2400, 1999.

E. Miller and R. Miller, Physical Theory for Capillary Flow Phenomena, Journal of Applied Physics, vol.19, issue.4, pp.324-332, 1956.
DOI : 10.2136/sssaj1955.03615995001900030005x

R. Millington and J. Quirk, Transport in porous media, Transactions of 7th International, p.461, 1960.

L. Oliveira, A. Demond, L. Abriola, and P. Goovaerts, Simulation of solute transport in a 464 heterogeneous vadose zone describing the hydraulic properties using a multistep stochastic 465 approach, Water Resources Research, vol.42, pp.10-1029, 2006.

A. Peck, R. Luxmoore, and J. Stolzy, Effects of spatial variability of soil hydraulic properties in water budget modeling, Water Resources Research, vol.23, issue.5, pp.348-354, 1977.
DOI : 10.2136/sssaj1959.03615995002300060021x

T. Poulsen, P. Moldrup, P. Schjønning, J. Massmann, and J. Hansen, Gas permeability and 469 diffusivity in undisturbed soil: SVE implications, Journal of Environmental Engineering, vol.124, pp.470-979, 1998.

T. Poulsen, B. Iversen, T. Yamaguchi, P. Moldrup, and P. Schjønning, SPATIAL AND TEMPORAL DYNAMICS OF AIR PERMEABILITY IN A CONSTRUCTED FIELD, Soil Science, vol.166, issue.3, pp.153-162, 2001.
DOI : 10.1097/00010694-200103000-00001

W. Rawls, D. Brakensiek, and K. Saxton, Estimation of Soil Water Properties, Transactions of the ASAE, vol.25, issue.5, pp.1316-1320, 1982.
DOI : 10.13031/2013.33720

G. Salvucci, Limiting relations between soil moisture and soil texture with implications for measured, modeled and remotely sensed estimates, Geophysical Research Letters, vol.13, issue.2, pp.1757-477, 1998.
DOI : 10.1029/WR013i002p00355

P. Shouse and B. Mohanty, Scaling of near-saturated hydraulic conductivity measured using disc infiltrometers, Water Resources Research, vol.17, issue.5, pp.1195-1205, 1998.
DOI : 10.1029/WR017i004p01065

A. Tang, Y. Cui, G. Richard, and P. Défossez, A study on the air permeability as affected by compression of three French soils, Geoderma, vol.162, issue.1-2, pp.171-181, 2011.
DOI : 10.1016/j.geoderma.2011.01.019

URL : https://hal.archives-ouvertes.fr/hal-00578440

A. Tuli, K. Kosugi, and J. Hopmans, Simultaneous scaling of soil water retention and unsaturated hydraulic conductivity functions assuming lognormal pore-size distribution, Advances in Water Resources, vol.24, issue.6, pp.677-688, 2001.
DOI : 10.1016/S0309-1708(00)00070-1

H. Vereecken, R. Kasteel, J. Vanderborght, and T. Harter, Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils, Vadose Zone Journal, vol.6, issue.1, pp.1-28, 2007.
DOI : 10.2136/vzj2006.0055

A. Warrick, G. Mullen, and D. Nielsen, Scaling field-measured soil hydraulic properties using a similar media concept, Water Resources Research, vol.23, issue.2, pp.355-362, 1977.
DOI : 10.2136/sssaj1959.03615995002300060021x

H. Wu, T. Chen, H. Wang, and W. Lu, Field air permeability and hydraulic conductivity of landfilled municipal solid waste in China, Journal of Environmental Management, vol.98, pp.15-22
DOI : 10.1016/j.jenvman.2011.12.008

L. Zavattaro, N. Jarvis, and L. Persson, Use of similar media scaling to characterize spatial 494 dependence of near-saturated hydraulic conductivity, Journal, vol.63, pp.486-492, 1999.