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This presentation will describe the links between rock physics models and geostatistics at two different scales. One is at the scale of reservoir characterization, where statistical methods in conjunction with rock physics models help to identify lithofacies and pore fluid probabilities by quantitative interpretation of seismic data. The other scale is that of the pores and grains. At the microstructural scale computational rock physics models have greatly benefited from geostatistical algorithms for simulations of the complex pore geometry. Combining deterministic physics-based models with statistical methods gives us a better understanding of processes, and a better quantitative interpretation than would be possible with either purely deterministic or purely statistical methods alone.