GNGTS 2015 - Atti del 34° Convegno Nazionale

26 GNGTS 2015 S essione 3.1 Fig. 3 – Results of the inversion of field data performed on the CMP location nearest to the well already considered in the synthetic inversion. a) The synthetic CMP, P-impedance, S-impedance and density are represented from left to right, respectively. For impedances and density the x-axes are represented with the same scale to better illustrate the increase of uncertainty that occurs passing from the Ip, to the Is and to the density estimates. In blue are represented the true elastic properties resampled at the seismic sampling interval, in red the MAP solution, in green the true properties up-scaled to the seismic bandwidth, whereas the grey curves show Monte Carlo realizations form the posterior probability distribution. b) and c) Results of the petrophysical inversion that is the posterior conditional probability p(R|d obs ) (see Eq. 11). The water saturation, porosity and shaliness are represented from left to right, respectively. b) Results obtained applying the theoretical, non-linear, rock-physics model. c) Results obtained with the empirical, linear, rock-physics model.