Karstification simulation

1. A method for simulating karstification phenomena in a karstic region, comprising:

a) defining a gridded geological model of the karstic region, said model having cells, in each cell of the gridded geological model:

a first environment described by values of at least one geological grid parameter is defined, a displacement of particles may be simulated in said first environment, and

a second environment described by values of edge parameters is defined, between two nodes of said cell, a displacement of particles may be simulated in said second environment,

b) simulating stochastic displacements of particles in the grid of the geological model, the probability of each displacement of a particle being calculated by taking into account values describing the environment in which the displacement is carried out, and

c) modifying said values describing the first and/or the second environment according to the courses taken by the particles;

and wherein the edge parameter comprises a pipe diameter,

in the step b) for at least one displacement in the second environment, an equivalent parameter is estimated from the pipe diameter value corresponding to said displacement,

and where in the probability of said displacement is calculated as a function of said estimated equivalent parameter value.

2. The simulation method as claimed in claim 1 , wherein

in step b), a pre-established hydraulic gradient that is a function of the region in which the displacement is carried out is also taken into account.

3. The simulation method as claimed in claim 1 , wherein

in step b), for at least one displacement in the first environment, an equivalent parameter value is estimated from the values of a geological grid parameter of the grids comprising an edge corresponding to said displacement,

and in which the probability of said displacement is calculated as a function of said estimated equivalent parameter value.

4. The simulation method as claimed in claim 1 , comprising

taking into account, in step b), the values of only one environment out of the first environment and the second environment.

5. The simulation method as claimed in claim 1 , wherein

the simulated displacements are advective and/or dispersive.

6. The simulation method as claimed in claim 1 , wherein

step c) involves a value of a karstification index indicative of the dissolution potential of the rock, and a value of an aggressivity index of the particles.

7. The simulation method as claimed in claim 1 , wherein

said at least one geological grid parameter comprises a grid permeability.

8. The simulation method as claimed in claim 1 , wherein

said at least one geological grid parameter comprises a grid porosity.

9. A non-transitory computer readable storage medium for simulating karstification phenomena in a karstic region, having stored thereon a computer program comprising program instructions, the computer program being loadable into a data-processing unit and adapted to cause the data-processing unit to carry out, when the computer program is run by the data-processing device:

a) defining a gridded geological model of the karstic region, said model having cells, in each cell of the gridded geological model:

a first environment described by values of at least one geological grid parameter is defined, a displacement of particles may be simulated in said first environment, and

a second environment described by values of edge parameters is defined between two nodes of said cell, a displacement of particles may be simulated in said second environment,

b) simulating stochastic displacements of particles in the grid of the geological model, the probability of each displacement of a particle being calculated by taking into account values describing the environment in which the displacement is carried out, and

c) modifying the values describing the first and/or the second environment, according to the courses taken by the particles;

and wherein the edge parameter comprises a pipe diameter,

in the step b/, for at least one displacement in the second environment, an equivalent parameter is estimated from the pipe diameter value corresponding to said displacement,

and wherein the probability of said displacement is calculated as a function of said estimated equivalent parameter value.

10. A device for simulating karstification phenomena in a karstic region, said device comprising

a memory for storing a gridded geological model of the karstic region, said model having cells, in each fell of the gridded geological model, the model comprising a description:

of a first environment described by values of at least one geological grid parameter, a displacement of particles may be simulated in said first environment, and

of a second environment described by values of edge parameters between two nodes of said cell, a displacement of particles may be simulated in said second environment,

processing means arranged for:

simulating stochastic displacements of particles in the grid of the geological model, the probability of each displacement of a particle being calculated by taking into account the description of the environment in which the displacement is carried out, and

modifying one and/or the other of the descriptions according to the courses taken by the particles,

wherein the edge parameter comprises a pipe diameter,

wherein the simulating comprises, for at least one displacement in the second environment, an estimation of an equivalent parameter from the pipe diameter value corresponding to said displacement,

and wherein the probability of said displacement is calculated as a function of said estimated equivalent parameter value.