Method for gradually deforming an initial object distribution in a heterogeneous medium, generated by simulation of an object type stochastic model, to best adapt it to imposed physical constraints

1) A method for gradually deforming an initial realization formed from measurements or observations and defming the distribution of a set of objects in a zone of a heterogeneous medium such as a geologic structure, generated by simulation of an object type stochastic model, the objects being distributed in the zone according to a Poisson point process in form of figurative points with a point density λ(x) varying according to their position (x) in the zone, characterized in that it comprises:

• generating a realization of a uniform random vector according to which the position of each object is defined while respecting density λ(x), and
• gradually modifying the uniform random vector according to a gradual deformation procedure, so as to obtain gradual migration of each object and consequently gradual change in the distribution of the objects in the zone, until a final realization best adjusted to parameters relative to the structure of the medium, such as hydrodynamic parameters, is obtained, which gives a realistic representation of the configuration of the objects in the modelled heterogeneous medium.