Method for forming a model of a formation geological, which is stressed by the dynamic and static

摘要

A structure is chosen a priori, with one physical dimension (k) estimated from the exploration data and a second ( sigma ) estimated from the fluid production data. The model is optimized by iterative application of an inversion of at least one of the physical dimensions, which are related by a combination function. The final model at least satisfies the combination of the two dimensions. The iterative optimization involves a simultaneous iteration of the first and second physical dimensions with optimization of a global cost function J(K, sigma ) of the two dimensions. The global cost function is the sum of terms measuring the spacing between the points of each model and the data obtained by measurement or observation or the corresponding dimension and the spacing taking into account the combination of the two dimensions. Each model is optimized by minimizing the objective function by determining its exact gradient using the adjoining state method. The production data are measured in the shaft through the underground area and the exploration data are the seismic data captured by seismic receivers in response to waves transmitted through the formation. The first physical dimension is the permeability of the medium and the second is the impedance of the medium relative to the waves.