Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data—I. Theory

摘要: Abstract The generation of equally likely realizations transmissivity fields conditional to both and piezometric data is achieved using an iterative technique that couples geostatistics optimization. By conditioning we mean the field generated honours solution flow equation reproduces measured heads. all display same patterns spatial variability as observed in field, opposed obtained by interpolation or inverse modelling which are oversmooth, unrealistic, representations real field. In this regard, any realization could be but unknown To achieve goal, first a only data, then (and possibly boundary conditions), modified without destroying until also honoured. methodology presented for steady-state confined two-dimensional aquifer. details implementation given finite-differences over aquifer discretized square blocks.