Subsidence, uplift and shift due to fluid extraction and production in a finite reservoir

We propose an approach that delivers simple approximate expressions for the vertical (subsidence) and horizontal displacement components of the free surface for all its points. Also, analytical expressions for the point-like nuclei are determined that allow representation of a planar horizontal reservoir of arbitrary shape as a distribution of infinitesimal dislocation loops. For the case of cylindrical reservoir, the method allows recovery of the full distribution of surface displacements. The proposed approach gives the values of subsidence within the limits observed in the Groningen gas field, while the traditional Geertsma’s method gives the estimations which is 50% higher than the observed ones.