Method of modified facies proportions upon history matching of a geological model
A method of modifying a geological model representative of an underground reservoir is disclosed which respects average proportions of the lithologic facies imposed by a production data calibration process which has application to petroleum reservoir development. A geographical zone Z is defined within the geological model and an average proportion in zone Z allowing the production data to be calibrated is determined for k facies, with an optimization process. The proportions of these facies are modified using a block indicator cokriging method constrained by the average proportions to be respected. A new geological model constrained by the modified facies proportions is simulated and the development of the underground medium is optimized by the simulated model.
1. A computer based method of optimizing development of an underground medium, from a geological model including a set of grid cells discretizing the medium with a facies value assigned to each cell wherein a difference is measured between measured dynamic data values and simulated dynamic data values by using a computer based flow simulator applied to the geological model and the geological model is modified to reduce the difference, comprising:
a) defining at least one geographical zone within the underground medium by selecting a set of cells of the geological model;
b) determining, for the facies, with an optimization process, an average proportion in the at least one geological zone allowing the difference to be reduced;
c) modifying proportions of the facies in each cell of the at least one geographical zone, with a block indicator cokriging method constrained by the average proportions, wherein an indicator function is defined for each facies in each cell as a binary function by cokriging as an occurrence probability of the facies of this cell and by assigning value 0 to any modified proportion which is less than 0 and assigning value 1 to any modified proportion greater than 1 and normalizing proportions of the facies which are modified so that in each cell a sum of the proportions of the facies is equal to 1; and
d) simulating with a computer a new geological model constrained by the proportions of the facies which are modified and optimizing development of the underground medium by using the simulated model.
2. The method as claimed in claim 1 , wherein the at least one geographical zone is a sub-domain of the geological model, a group of sub-domains of the geological model or an entire geological model.