Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media

Fully Conservative Higher Order Finite Difference Schemes for Incompressible Flow

Conservation properties of the mass, momentum, and kinetic energy equations for incompressible flow are specified as analytical requirements for a proper set of discrete equations. Existing finite difference schemes in regular and staggered grid systems are checked for violations of the conservation requirements and a few important discrepancies are pointed out. In particular, it is found that ...

Finite volume schemes for two phase flow in porous media

The system of equations obtained from the conservation of multiphasic fluids in porous media is usually approximated by finite volume schemes in the oil reservoir simulation setting. The convergence properties of these schemes are only known in a few simplified cases. The aim of this paper is to present some new results of convergence in more complex cases. These results are based on an adaptat...

Convergent mass conservative schemes for flow and reactive solute transport in variably saturated porous media

A New Approach for Constructing Pore Network Model of Two Phase Flow in Porous Media

Development of pore network models for real porous media requires a detailed understanding of physical processes occurring on the microscopic scale and a complete description of porous media morphology. In this study, the microstructure of porous media has been represented by three dimensional networks of interconnected pores and throats which are designed by an object oriented approach. Af...

Mass Conservative Domain Decomposition for Porous Media Flow

Understanding flow in subsurface porous media is of great importance for society due to applications such as energy extraction and waste disposal. The governing equations for subsurface flow are a set of non-linear partial differential equations of mixed elliptichyperbolic type, and the parameter fields are highly heterogeneous with characteristic features on a continuum of length scales. This ...