caa a22 4500 463162986 CHVBK 20180406164753.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9073-4 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9073-4 Permeability identification of a weakly permeable partially saturated porous rock [Elektronische Daten] [Albert Giraud, Richard Giot, Françoise Homand, Amine Koriche] The present paper deals with the determination of permeability in partially saturated conditions for weakly permeable porous continua such as argillites or deep clayey formations. The permeability can be deduced from measurements of transient weight loss of a sample submitted to a laboratory drying test: a decrease of relative humidity is imposed by saline solution in an hermetic chamber. Assumptions of constant gas pressure equal to atmospheric pressure and of negligible Fickean diffusive transport of vapour are adopted. The only transport phenomenon taken into account inside the sample is the Darcean advective transport of the water liquid. The forward problem is solved by following two modelling approaches: a linear one and a nonlinear one. The parameter identification procedure is based upon the solution of corresponding inverse problems. In the two cases, the Levenberg-Marquardt algorithm has been used for the minimization problem. In the linear approach, the solution of the forward problem is explicit. In the non linear approach, finite volume method for the spatial discretization combined with a Newton-Raphson algorithm has been used to solve the non linear forward problem. The identification method enables variations of permeability and capillary capacity to be estimated. Comparisons between linear and non linear approaches show that the first one is useful to give mean values and order of magnitude of permeability and capacity. A more complete information is deduced from the non linear approach as variations of equivalent capacity and permeability during a test are significant in most cases. The analysis of the obtained results shows that the basic modelling assumption of constant gas pressure inside the sample would not be relevant for lower range of relative humidities and liquid permeability than those investigated. Springer Science+Business Media, Inc., 2006 Porous media nationallicence Partially saturated nationallicence Permeability identification nationallicence Finite volume method nationallicence Drying test nationallicence Giraud Albert LPMM—UMR CNRS 7554/ISGMP, Université Paul Verlaine-Metz, Ile du Saulcy, 57045, Metz Cedex 01, France aut Giot Richard LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut Homand Françoise LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut Koriche Amine LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut Transport in Porous Media Kluwer Academic Publishers 69/2(2007-09-01), 259-280 0169-3913 69:2<259 2007 69 11242 https://doi.org/10.1007/s11242-006-9073-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9073-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giraud Albert LPMM—UMR CNRS 7554/ISGMP, Université Paul Verlaine-Metz, Ile du Saulcy, 57045, Metz Cedex 01, France aut NATIONALLICENCE 700 1- Giot Richard LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut NATIONALLICENCE 700 1- Homand Françoise LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut NATIONALLICENCE 700 1- Koriche Amine LAEGO-ENSG, Postbox BP40, F-54501, Vandoeuvre-lès-Nancy Cedex, France aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 69/2(2007-09-01), 259-280 0169-3913 69:2<259 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer