Abstract: Method for modeling acidification within a porous medium as a result of the injection of an acid. A dual-medium model is constructed, considering a first sub-medium favorable to dissolution breakthroughs and a second sub-medium not favorable to dissolution breakthroughs. For each one of these sub-media, a metric-scale description of the acid transport, of the sub-medium and acid mass conservation and of the acid transfer from one sub-medium to the other sub-medium is achieved. This dual-medium model is then initialized from experimental calibrations. Finally, acidification of the medium is modelled by means of this dual-medium model.

Abstract: Method for modeling acidification within a porous medium as a result of the injection of an acid. A dual-medium model is constructed, considering a first sub-medium favourable to dissolution breakthroughs and a second sub-medium not favourable to dissolution breakthroughs. For each one of these sub-media, a metric-scale description of the acid transport, of the sub-medium and acid mass conservation and of the acid transfer from one sub-medium to the other sub-medium is achieved. This dual-medium model is then initialized from experimental calibrations. Finally, acidification of the medium is modelled by means of this dual-medium model.

Abstract: The invention is a method of determining all the components of an absolute permeability tensor of a porous medium sample from permeability measurements, obtained for example by placing the sample in a permeameter which is useful for fast determination of permeability anisotropies of rocks and detention of internal heterogeneities. A pressure difference ?P is applied between the inlet and outlet faces of a laboratory rock sample, with zero flow conditions on the edges parallel to the mean flow obtained by confining it in a sheath under pressure. Starting from conventional permeability measurements in three directions and from the measurements of the two components of the viscous forces transverse to the sample, a permeability tensor k can be “inverted” by numerical solution of the corresponding boundary-value problem.

Abstract: The invention is a method of determining all the components of an absolute permeability tensor of a porous medium sample from permeability measurements, obtained for example by placing the sample in a permeameter which is useful for fast determination of permeability anisotropies of rocks and detention of internal heterogeneities. A pressure difference ?P is applied between the inlet and outlet faces of a laboratory rock sample, with zero flow conditions on the edges parallel to the mean flow obtained by confining it in a sheath under pressure. Starting from conventional permeability measurements in three directions and from the measurements of the two components of the viscous forces transverse to the sample, permeability tensor k can be “inverted” by numerical solution of the corresponding boundary-value problem. Since these quantities can be alternatively obtained from numerical solutions of the same flow in a heterogeneous medium, the method can also be used as an upscaling tool in a reservoir simulator.