Abstract: The invention is a method of constructing an image of a petroleum reservoir from dynamic data having application for petroleum reservoir characterization. At least two independent realizations of the reservoir are generated from at least two Gaussian white noises. At least one region is defined within the reservoir and a parameter allowing the shape and the size of this region to be modified is defined. A new realization of the reservoir is then generated from a linear combination of the white noises. The coefficients of this linear combination depend on the parameter allowing the region to be modified. A local objective function measuring, within this region, a difference between dynamic data simulated from the new realization and the measured dynamic data is then calculated. Finally, the image of the reservoir is constructed by iteratively modifying the parameter so as to minimize the local objective function.

Abstract: Method of constructing an image of a petroleum reservoir from dynamic data Id disclosed having application for petroleum reservoir characterization. At least two independent realizations of the reservoir are generated from at least two Gaussian white noises. At least one region is defined within the reservoir and a parameter allowing the shape and the size of this region to be modified is defined. A new realization of the reservoir is then generated from a linear combination of the white noises. The coefficients of this linear combination depend on the parameter allowing the region to be modified. A local objective function measuring, within this region, a difference between dynamic data simulated from the new realization and the measured dynamic data is then calculated. Finally, the image of the reservoir is constructed by iteratively modifying the parameter so as to minimize the local objective function.

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 method essentially comprises acquiring initial data obtained by laboratory measurements of the values, according to the initial permeability of the formations surrounding the well, of the thickness of the cakes and of the damaged permeability and restored permeability values of this zone, as a function of the distance to the wall of the well. Then the damaged zone is discretized by a 3D cylindrical grid pattern forming blocks of small radial thickness in relation to the diameter of the well, and the diffusivity equation, modelling the flow of the fluids through the cakes, is solved in this grid pattern by taking account of the measured initial data. Finally, the evolution of the permeability is modelled as a function of the flow rates of fluids flowing through the cakes, so as to deduce therefrom the optimum conditions to be applied for producing the well.

Abstract: Method of determining by numerical simulation the optimum conditions to be applied in a horizontal (or complex) well drilled through an underground reservoir so as to progressively eliminate (restore), by the fluids from the reservoir, deposits or cakes formed in at least a peripheral zone of the well as a result of drilling and completion operations.