Abstract: The invention stimulates the production of an oil reservoir by carrying out a sequence of steps of constructing a flow simulator from physical data measured in the oil reservoir; determining a first analytical model relating the production of the reservoir as a function of time by taking account of parameters having an influence on the production of the reservoir, the first model best adjusting to a finite number of production values obtained by the reservoir simulator; selecting at least one new production value, this new value being obtained by the reservoir simulator; and determining a second model by adjusting the first model so that the second model interpolates the new production value.