This study aims to compute an alluvial geological model for groundwater modeling in the territories of the SDDEA (Aube Departmental Water Syndicate) in the southeastern part of the Paris Sedimentary Basin. The Gstlearn geostatistical package was used to perform kriging with SPDE functionalities, which allows consideration of a large dataset (1:50,000 scale alluvial geometries) consisting of 752 alluvial thickness observations from boreholes, along with approximately 95,000 control points, which constrain the conceptual validity of the alluvial plain where observations are unavailable. Two hypotheses were established: first, the thickness is zero at the border of the alluvial plain; second, a maximum value for alluvial thickness can be applied to the central part of the corridor depending on the terrain elevation. Using SPDE considerably reduces computation time, making the methodology highly reproducible and allowing for a more advanced conceptualization of alluvial plain thickness.