1 ) A method for simulating the production of an oil reservoir, comprising: a) constructing a flow simulator from physical data measured in the oil reservoir; b) determining a first analytical model expressing production of the reservoir as a function of time by taking into account 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 flow simulator; c) selecting at least one new production value associated with a point located in an area of the reservoir selected as a function of the non-linearity of the reservoir production in the area, the new value being obtained by the flow simulator; and d) determining a second model by adjusting the first model so that the response of the second model at the point corresponds to the new production value.