METHOD FOR DETERMINING DRAIN CONFIGURATIONS OF WELLS IN A FIELD

1 . A computer-implemented method for determining drain configurations of wells in a field containing a hydrocarbon reservoir, said method comprising:

/a/ receiving a first set of geological gridded models,

each gridded model among the first set of geological gridded models including a respective plurality of cells;

wherein each geological gridded model includes a drain associated with a reference drain configuration, said reference drain configuration including N respective cells within the respective plurality of cells;

/b/ receiving a set of criteria;

/c/ for each geological gridded model among the first set of geological gridded models:

determining possible configurations for the N respective cells,

for each possible configuration among the possible configurations and for each cell among said N respective cells,

computing criterion measures, each criterion measure representing a suitability to a respective criterion among the received set of criteria; and

determining, based on said criterion measures, a set of non-dominated configuration among said possible configurations via a non-dominated sorting algorithm for jointly optimizing the set of criteria;

determining a first configuration among the set of non-dominated configurations, said first configuration minimizing a distance between the reference drain configuration respectively associated to the geological gridded model and the set of non-dominated configurations; and

determining intermediate weights based on coordinates of the first configuration in a space defined by the set of criteria, each intermediate weight being associated to a respective criterion among the plurality of criteria;

/d/ estimating a plurality of weights, each weight being associated to a respective criterion among the plurality of criteria and estimated based on intermediate weights among the pluralities of intermediate weights associated to said respective criterion;

/e/ receiving a second geological gridded model of the field,

the second geological gridded model including a plurality of cells, and including a second drain, said second drain including N 2 cells within the plurality of cells; and

/f/ determining a configuration for said N 2 cells based on the received set of criteria and the plurality of estimated weights.

2 . The method of claim 1 , wherein /c/ comprises

determining a plurality of intermediate weights w 1 k corresponding to a weight w i associated to a criterion M i among the plurality of criteria, k being an integer between 1 and a number of reference drain configuration,

wherein /d/ comprises:

estimating the weight w i as a function of intermediate weights w i k among the plurality of intermediate weights.

3 . The method of claim 1 , wherein, in /c/, the determining of the possible configurations comprises:

receiving a first set of constraints depending on a type of operation at the drain.

4 . The method of claim 1 , wherein the determining /f/ of the configuration comprises:

determining possible configurations for said N 2 cells;

for each configuration among the possible configurations, computing criterion measures, each criterion measure representing a suitability to a respective criterion among the received set of criteria;

determining, based on said criterion measures, a second set of non-dominated configurations among said possible configurations via a non-dominated sorting algorithm for jointly optimizing the set of criteria; and

determining a configuration for said N 2 cells, based on said second set of non-dominated configurations and on the plurality of weights estimated.

5 . The method of claim 4 , wherein, in /f/, the determining of the second group of configurations comprises:

receiving a second set of constraints depending on a type of operation at the drain.

6 . The method of claim 4 , wherein, in /f/, the determining of the configuration for said N 2 cells comprises:

determining N S points in the space defined by the set of criterion measures, wherein N S is an integer, via a random sampling from a multidimensional distribution of the plurality of weights estimated;

determining, among the second set of non-dominated configurations, a configuration which minimizes a predefined proximity criterion to the N S points determined; and

selecting said configuration as being the configuration for said N 2 cells.

7 . The method of claim 1 , wherein the criterion measures include at least one measure among:

an ability of the N 2 cells to flow from or into the drain-;

an ability of the N 2 cells to equalize a flow of the drain;

a likeliness of the N 2 cells to produce at the drain an undesired fluid at a rate;

a likeliness of the N 2 cells to determine a breakthrough of an injected fluid at distance of production wells at a rate;

a sum of the length of all blanked cells of the drain;

a number of splits of the drain; and

an ability of the N 2 cells to flow from or into the drain, function of a location of a considered cell of the N 2 cells in the drain.

8 . A computer-implemented method for determining drain configurations of wells in a field containing a hydrocarbon reservoir, said method comprising:

receiving a geological gridded model of the field, the geological gridded model including a plurality of cells, and including a drain, said drain including N 2 cells within the plurality of cells;

receiving a set of criteria;

determining possible configurations for said N 2 cells;

for each configuration among the possible configurations, computing criterion measures, each criterion measure representing a suitability to a respective criterion among the received set of criteria;

determining, based on said criterion measures, a set of non-dominated configurations among said possible configurations via a non-dominated sorting algorithm for jointly optimizing the set of criteria; and

determining a configuration for said N 2 cells, based on said set of non-dominated configurations and on the plurality of weights estimated.

9 . A non-transitory computer readable storage medium, having stored thereon a computer program comprising program instructions, the computer program being loadable into a data-processing device and configured to cause the data-processing device to carry out the method of claim 1 when the computer program is run by the data-processing device.

10 . A device for determining drain configurations of wells in a field containing a hydrocarbon reservoir, the device comprising:

/a/ an interface for receiving a first set of geological gridded models,

each gridded model among the first set of geological gridded models including a respective plurality of cells;

wherein each geological gridded model includes a drain associated with a reference drain configuration, said reference drain configuration including N respective cells within the respective plurality of cells;

/b/ an interface for receiving a set of criteria;

/c/ for each geological gridded model among the first set of geological gridded models:

a circuit for determining possible configurations for the N respective cells,

for each possible configuration among the possible configurations and for each cell among said N respective cells,

a circuit for computing criterion measures, each criterion measure representing a suitability to a respective criterion among the received set of criteria; and

a circuit for determining, based on said criterion measures, a set of non-dominated configuration among said possible configurations via a non-dominated sorting algorithm for jointly optimizing the set of criteria;

a circuit for determining a first configuration among the set of non-dominated configurations, said first configuration minimizing a distance between the reference drain configuration respectively associated to the geological gridded model and the set of non-dominated configurations; and

a circuit for determining intermediate weights based on coordinates of the first configuration in a space defined by the set of criteria, each intermediate weight being associated to a respective criterion among the plurality of criteria;

/d/ a circuit for estimating a plurality of weights, each weight being associated to a respective criterion among the plurality of criteria and estimated based on intermediate weights among the pluralities of intermediate weights associated to said respective criterion;

/e/ an interface for receiving a second geological gridded model of the field,

the second geological gridded model including a plurality of cells, and including a second drain, said second drain comprising N 2 cells within the plurality of cells; and

/f/ a circuit for determining a configuration for said N 2 cells based on the received set of criteria and the plurality of estimated weights.

11 . A device for determining drain configurations of wells in a field containing a hydrocarbon reservoir, the device comprising:

an interface for receiving a geological gridded model of the field, the geological gridded model including a plurality of cells, and including a drain, said drain comprising N 2 cells within the plurality of cells;

an interface for receiving a set of criteria;

a circuit for determining possible configurations for said N 2 cells;

for each configuration among the possible configurations, a circuit for computing criterion measures, each criterion measure representing a suitability to a respective criterion among the received set of criteria;

a circuit for determining, based on said criterion measures, a set of non-dominated configurations among said possible configurations via a non-dominated sorting algorithm for jointly optimizing the set of criteria; and

a circuit for determining a configuration for said N 2 cells, based on said set of non-dominated configurations and on the plurality of weights estimated.