## Porosity inference and classification of siliciclastic rocks from multiple data sets

Porosity inference and classification of siliciclastic rocks from multiple data sets Revista: Geophysics, 2006, 71, P65-V76. We develop a Bayesian formulation for joint inference of porosity and clay volume, incorporating multiple data sets, prior information, and rock physics models. The derivation is carried out considering the full uncertainty involved in calculations from unknown hyperparameters required by either rock physics equations model coefficients or statistical models data variances. Eventually, data variances are marginalized in closed form, and the model coefficients are fixed using a calibration procedure. To avoid working with a high-dimension probability density function in the parameter space, [...]