Effects of uncertainty in rock‐physics models on reservoir parameter estimation using seismic amplitude variation with angle and controlled‐source electromagnetics data

This paper investigates the effects of uncertainty in rock-physics models on reservoir parameter estimation using seismic amplitude variation with angle and controlled-source electromagnetics data. The reservoir parameters are related to electrical resistivity by the Poupon model and to elastic moduli and density by the Xu-White model. To handle uncertainty in the rock-physics models, we consider their outputs to be random functions with modes or means given by the predictions of those rock-physics models and we consider the parameters of the rock-physics models to be random variables defined by specified probability distributions. Using a Bayesian framework and Markov Chain Monte Carlo sampling metho is, we are able to obtain estimates of reservoir parameters and information on the un certainty in the estimation. The developed method is applied to a synthetic case study based on a layered reservoir model and the results show that uncertainty in both rock- physics models and in their parameters may have significant effects on reservoir par; meter estimation. When the biases in rock-physics models and in their associated pars meters are unknown, conventional joint inversion approaches, which consider rock-pl iysics models as deterministic functions and the model parameters as fixed values, m y produce misleading results. The developed stochastic method in this study provide ; an integrated approach for quantifying how uncertainty and biases in rock-phys cs models and in their associated parameters affect the estimates of reservoir parami ters and therefore is a more robust method for reservoir parameter estimation.