Stochastic Eulerian model for the flow simulation in porous media

Flow Simulation in Stochastic Porous Media

Stochastic langevin model for flow and transport in porous media.

We present a new model for fluid flow and solute transport in porous media, which employs smoothed particle hydrodynamics to solve a Langevin equation for flow and dispersion in porous media. This allows for effective separation of the advective and diffusive mixing mechanisms, which is absent in the classical dispersion theory that lumps both types of mixing into dispersion coefficient. The cl...

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...

In-Situ Data Compression for Flow Simulation in Porous Media

Supercomputing simulations easily generate datasets in the range of tera or even peta bytes. However, writing datasets during simulation and reading them for post-processing implies a high I/O load and thus imposes a major bottleneck. In the computation phase, compute nodes stall at writing large amounts of data and the simulation slows down scientists have to capture data less frequently losin...

Localized Model Reduction in Porous Media Flow

This paper introduces a new localized approach to construct an efficient reduced order model for fluid flow simulation and optimization in porous media flow. For nonlinear systems, one of the most common methodology used is the proper orthogonal decomposition (POD) combined with discrete empirical interpolation method (DEIM) due to its computational efficiency and good approximation. Whereas re...