Porosity and Permeability Determination in Petroleum Reservoir Simulation Methods Using Unstructured Grids (original) (raw)

Finite volume methods, also called conservative methods or control volume methods, require the evaluation of the fluxes (mass, momentum, energy etc.) at the interfaces of the control volumes and the mass quantity inside the control volume for the calculation of the transient and source terms. In petroleum reservoir simulation this means the need of calculating mobilities at the control volume interfaces and porosity at the center of the control volume. Considering the geometrical entity defined by the nodes of the computational grid as an element, control volumes in a finite volume method can be classified as a vertexcenter construction when they are built around the nodes of the grid, and cell-center when the control volume is coincident with the element. The widely used method in petroleum reservoir simulation stores the physical parameters, like porosity and absolute permeability, at the center of the control volumes. This means that for a heterogeneous media the interface of the...