Method for determining locations of wells in a field
The present invention relates to a method for determining locations of wells in a field containing a hydrocarbon reservoir, said method comprising: ⋅receiving a first set of geological gridded models; ⋅receiving a set of criteria for positioning wells; ⋅receiving a plurality of reference well patterns associated to the first set of geological gridded models; ⋅estimating a plurality of weights, each weight being associated to a respective criterion among the plurality of criteria, based on the plurality of reference well patterns and the received set of criteria; ⋅receiving a second geological gridded model of the field; and ⋅determining locations of wells in the second geological gridded model based on the received set of criteria and the plurality of estimated weights.
1. A computer-implemented method for determining locations of wells in a field with subsoil containing a hydrocarbon reservoir, the method comprising:
/a/ receiving a plurality of geological gridded models, each gridded model among the plurality of geological gridded models including a respective plurality of cells;
/b/ receiving a set of criteria for positioning wells in a geological gridded model;
/c/ receiving a plurality of reference well patterns, each reference well pattern among the plurality of reference well patterns including a respective plurality of reference locations of wells in a respective geological gridded model among the plurality of geological gridded models;
/d/ for each geological gridded model among the plurality of geological gridded models:
/d1/ for a number of iterations equal to a number of wells in the reference well pattern respectively associated to the geological gridded model:
determining a group of cells among the respective plurality of cells of said geological gridded model;
for each cell among said group of cells, 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 cells among said group of cells via a non-dominated sorting algorithm for jointly optimizing the set of criteria;
determining a first cell among the set of non-dominated cells, said first cell minimizing a distance between the plurality of reference locations of the reference well pattern respectively associated to the geological gridded model and the set of non-dominated cells; and
determining a plurality of intermediate weights based on coordinates of the first cell in a space defined by the set of criterion measures, each intermediate weight being associated to a respective criterion among the set of criteria;
/e/ estimating a plurality of weights, each weight being associated to a respective criterion among the set of criteria and estimated based on intermediate weights among the plurality of intermediate weights associated to said respective criterion;
/f/ receiving a second geological gridded model of the field, said second geological gridded model including a respective plurality of cells;
/g/ determining locations of wells in the second geological gridded model based on the received set of criteria and the plurality of estimated weights; and
/h/ based on the determined locations, injecting one or more fluids into the subsoil or producing fluids from the field in the subsoil.
2. The method of claim 1 , wherein /d/ comprises:
determining a plurality of intermediate weights w i k,j corresponding to a weight w i associated to a criterion C i among the set of criteria, k being an integer between 1 and a number of reference well patterns and j being an integer between 1 and the number of wells in the reference well pattern respectively associated to the geological gridded model, and
wherein /e/ comprises:
estimating the weight w i as a function of intermediate weights w i k,j among the plurality of intermediate weights.
3. The method of claim 1 , wherein, in /d1/, the determining of the group of cells comprises:
receiving a first set of location constraints depending on a type of well,
wherein said group of cells includes cells that satisfy said first set of location constraints.
4. The method of claim 1 , wherein the determining /g/ of the locations of wells in the second geological gridded model comprises:
/g1/ for a number of iterations equal to a number of wells to be positioned in the second geological gridded model:
determining a second group of cells among the respective plurality of cells of said second geological gridded model;
for each cell among said second group of cells, 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 cells among said group of cells via a non-dominated sorting algorithm for jointly optimizing the set of criteria; and
determining a location for said well, based on said second set of non-dominated cells and on the plurality of weights estimated.
5. The method of claim 4 , wherein, in /g1/, the determining of the second group of cells comprises:
receiving a second set of location constraints depending on a type of well, wherein said second group of cells includes cells that satisfy said second set of location constraints.
6. The method of claim 4 , wherein, in /g1/, the determining of the location for said well comprises:
determining N points in the space defined by the set of criterion measures, wherein N 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 cells, a cell which minimizes a predefined proximity criterion to the N points determined; and
selecting said cell as being the location for said well.
7. The method of claim 1 , wherein the criterion measures include at least one distance measure among:
a distance to another cell or group of cells having at least an undesired property;
a distance to another cell or group of cells corresponding to a well or a well of a same type that the well being positioned; and
a distance to another cell or group of cells corresponding to a well or a well of a different type that the well being positioned.
8. The method of claim 1 , wherein the criterion measures include at least one flow measure among:
a regional quantity of fluid available to flow; and
a regional ability for a given fluid to flow.
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 locations of wells in a field with subsoil containing a hydrocarbon reservoir, the device comprising a processor configured for:
/a/ receiving a plurality of geological gridded models, each gridded model among the plurality of geological gridded models including a respective plurality of cells;
/b/ receiving a set of criteria for positioning wells in a geological gridded model;
/c/ receiving a plurality of reference well patterns, each reference well pattern among the plurality of reference well patterns including a respective plurality of reference locations of wells in a respective geological gridded model among the plurality of geological gridded models;
/d/ for each geological gridded model among the plurality of geological gridded models:
/d1/ for a number of iterations equal to a number of wells in the reference well pattern respectively associated to the geological gridded model:
determining a group of cells among the respective plurality of cells of said geological gridded model;
for each cell among said group of cells, 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 cells among said group of cells via a non-dominated sorting algorithm for jointly optimizing the set of criteria;
determining a first cell among the set of non-dominated cells, said first cell minimizing a distance between the plurality of reference locations of the reference well pattern respectively associated to the geological gridded model and the set of non-dominated cells; and
determining a plurality of intermediate weights based on coordinates of the first cell in a space defined by the set of criterion measures, each intermediate weight being associated to a respective criterion among the set of criteria;
/e/ estimating a plurality of weights, each weight being associated to a respective criterion among the set of criteria and estimated based on intermediate weights among the plurality of intermediate weights associated to said respective criterion;
/f/ receiving a second geological gridded model of the field, said second geological gridded model including a respective plurality of cells;
/g/ determining locations of wells in the second geological gridded model based on the received set of criteria and the plurality of estimated weights; and
/h/ based on the determined locations, injecting one or more fluids into the subsoil or producing fluids from the field in the subsoil.