Contrained Kriging and Simulation of a Well Layering Towards a Geophysical Thickness Map

In this paper, a simple (but theoretically consistent) formulation is presented to constrain kriging or simulation of individual thicknesses (observed at well locations) to a global thickness map issued from geophysical measurements. The method consists of a correction applied to the non constrained results ; this correction takes into account the uncertainties on the individual layers (kriging variances) and the uncertainty on the global layer (uncertainty on geophysical measurements). First, the theoretical background of the technique is described briefly; the relationship with the full cokriging system is depicted. Subsequently, the method is applied to a practical industrial field case. From encouraging results, some advice are derived to use this new algorithm correctly. Finally conclusions are drawn conceming the advantages and the limitations of these correction formula. Further research is suggested to treat more complex geometries.