Analytical calculations related to facies simulation

The paper presents calculations related to the volumes of different facies types. Asymptotic distributions are derived approximating the volumes of facies proportions. The number of bodies required to meet net-gross specifications are shown to follow an inverse gaussian distribution. The calculations typically are performed prior to simulations of reservoir facies and may add substantially to the understanding of the model. In particular, analytical results are useful when it comes to assessing parameters of complex simulation models. The theoretical distributions agree well with results based on marked point process simulations of a turbiditic reservoir.