Land subsidence surrogate models for normally consolidated sedimentary basins

This article presents a methodology for building computationally-fast “surrogate model” to simulate land subsidence due fluid extraction from normally consolidated sedimentary basins. The model relies on the extension of classic nucleus strain solution (NoS) in homogeneous semi-infinite continuum heterogeneous basins, which uniaxial vertical compressibility cM varies along depth z following either power or an exponential law. NoS represents horizontal and components surface displacement associated with unit volume at given c change pore pressure occurs. modified is obtained by fitting calculated using finite-element (FE) numerical model. achieved through regression algorithm that identifies four parameters. By repeating such over set combinations coefficients basin cM(z), it possible identify functions emulate variability parameters respect coefficients. surrogate then built integrating equations within subsurface region (e.g. aquifer) where occurs abstraction. Such formulation results explicit “response-matrix” approach, forcing terms depend variations, matrix account selected implementation approach quite straightforward powerful, as allows, example, easily construct package “online” any groundwater flow model, estimate “offline” simulated observed 3D field. tested series experiments, shown produce accurate working assumptions