Stable and unstable miscible displacements in layered porous media

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Miscible porous media displacements driven by non-vertical injection wells

High-resolution simulations are employed to identify and analyse the mechanisms dominating miscible porous media displacements generated by inclined injection wells. Compared to vertical injection wells, significant differences are observed that strongly influence breakthrough times and recovery rates. Constant density and viscosity displacements, for which the velocity field is potential in na...

Parallel Nonoverlapping DDM Combined with the Characteristic Method for Incompressible Miscible Displacements in Porous Media

Two types of approximation schemes are established for incompressible miscible displacements in porous media. First, standard mixed finite element method is used to approximate the velocity and pressure. And then parallel non-overlapping domain decomposition methods combined with the characteristics method are presented for the concentration. These methods use the characteristic method to handl...

An arbitrary order scheme on generic meshes for miscible displacements in porous media

We design, analyse and implement an arbitrary order scheme applicable to generic meshes for a coupled elliptic-parabolic PDE system describing miscible displacement in porous media. The discretisation is based on several adaptations of the Hybrid-High-Order (HHO) method due to Di Pietro et al. [Computational Methods in Applied Mathematics, 14(4), (2014)]. The equation governing the pressure is ...

Numerical Analysis of Finite Element Methods for Miscible Displacements in Porous Media

Finite element methods are used to solve a nonlinear system of partial diierential equations which models incompressible miscible displacement of one uid by another in porous media. From a backward nite diierence discretization we deene a sequentially implicit time-stepping algorithm which uncouples the system. The Galerkin method is employed to approximate the pressure, and improvement velocit...