Abstract:
A method for updating a geological reservoir model by integration of dynamic data having application, for example, to petroleum reservoir development. An initial map (y) of petrophysical properties is constructed by means of a geostatistical simulator and of static data. Then an initial set of gradual pilot points (PPi) and at least one complementary set of gradual pilot points (PPc) are constructed. A combined set of gradual pilot points (PP(t)) is then constructed by combining these sets of gradual pilot points according to the gradual deformation method wherein at least one deformation parameter is a characteristic parameter of said pilot points (position and/or value). The initial map (y) is then modified, the deformation parameters are modified according to the dynamic data and the procedure is repeated until a stop criterion is reached and the geological reservoir model is updated by associating the map thus optimized with the grid of the model.
Abstract:
A computer implemented method for forming an optimum stochastic model representative of the spatial distribution, in a heterogeneous underground zone, of physical quantities such as permeability and porosity, based upon measured dynamic data, representative of fluid displacements in a medium, using a continuous distribution parameterization technique is disclosed. The method has application for elaboration of an underground reservoir model by simulating the configuration of various heterogeneities: permeability, porosity, fractures, channels, etc.
Abstract:
A geostatistical method for gradually deforming an initial distribution of objects, of geologic type for example, from measurements or observations, so as to best adapt it to imposed physical constraints of, for example, a hydrodynamic type having applications of geostatistical modelling of heterogeneous reservoirs of various objects: fracture, channels, vesicles, etc., for example. The objects are distributed in a zone of a heterogeneous medium according to a Poisson point process in form of figurative points with a point density λ(x) that varies according to their position (x) in the zone, a realization of a uniform random vector according to which the position of each object is defined while respecting density λ(x) is formed, and the uniform random vector is gradually modified according to a gradual deformation process so as to obtain gradual migration of each object until a final realization best adjusted to parameters relative to the structure of the medium, such as hydrodynamic parameters, is obtained.