Method for exploiting a hydrocarbon deposit by history matching of production as a function of diagenesis

A method for exploiting a subterranean formation including hydrocarbons, the formation including at least one facies which has undergone at least one diagenetic phase over geological time, from at least one sample of rock obtained from the formation, from measured production data relating to the formation and from a meshed representation representative of the formation with the meshed representation having been formed by meshes, each of the meshes of the meshed representation including at least one indicator relating to distribution of the facies present in the mesh, comprising steps of:

• A. determining from at least measurements performed on the at least one sample, for at least one of the facies and for each of the meshes of the meshed representation, a value of at least one parameter of the diagenetic state of the facies;
• and
• B. updating at least a value of the parameters of the diagenetic state of at least one of the facies from the measured production data, for at least one mesh of the meshed representation, according to the following steps:
• i. determining at least one petrophysical property relating to flow in the formation for each of the meshes of the meshed representation, from the values of the determined parameters of the diagenetic state of the facies;
• ii. using a flow simulator and the meshed representation filled with petrophysical properties relating to the flow, to simulate data relating to the formation production;
• iii. determining an objective function measuring at least one difference between the measured production data and the simulated production data;
• and
• i.v. modifying at least the value of the parameter of the diagenetic for one of the facies from the objective function for at least one of the meshes of the meshed representation;
• and
• reiterating steps i) to iv) until a predetermined stop criterion is reached;
• and
• determining a scheme for exploiting the hydrocarbons of the formation and exploiting the hydrocarbons of the formation from at least the updated method representation.