Method for exploiting a fractured medium on the basis of a matched reservoir model for wells chosen by means of an equivalent transmissivity model

A method for exploiting a fractured subterranean medium to produce hydrocarbons from the fractured medium which uses a fractured reservoir model including a set of meshes discretizing the fractured reservoir medium, the fractures of the subterranean medium being characterized by at least one fracture property, for which a range of variation of the at least on fracture property is defined, at least two wells passing through the subterranean medium and determining at least one equivalent transmissivity from well test data for each well comprising:

• constructing an equivalent transmissivity model for each well which links the at least one equivalent transmissivity for each well to the at least one fracture property;
• using at least one transmissivity model and the range of variation of the at least one fracture property to estimate an equivalent transmissivity spectrum for each well;
• choosing at least one well for which the at least one equivalent transmissivity lies within the equivalent spectrum and modifying the range of variation of the at least one fracture property as a function of a comparison between the equivalent transmissivity spectrum and the at least one equivalent transmissivity;
• generating an initial fractured reservoir model based on the at least one fracture property, matching the initial fractured reservoir model by varying the at least one fractured property within the modified range of variation of each well that is chosen to minimize a difference between the well test data which is measured and data which is simulated with the fractured reservoir model and a flow simulator;
• generating a plurality of possible exploitation schemes based on the initial fractured reservoir model and the flow simulator to generate a plurality of possible exploitation schemes with each generated possible exploitation scheme providing a possible well configuration for placing at least one of a production well and an injection well into the fractured reservoir medium;
• predicting performance of each of the generated possible exploitation schemes for producing the hydrocarbons from the fractured subterranean medium;
• based on the predicted performances of the predicted exploitation schemes;
• choosing one of the generated possible exploitation schemes and drilling at least one of a production well and an injection well into the fractured reservoir medium in accordance with the chosen exploitation scheme;
• and
• exploiting the fractured subterranean medium with the chosen exploitation scheme to produce the hydrocarbons from the fractured subterranean medium.