Model of the unsteady two-phase three-component filtration of the oil–water–supercritical fluid system in a homogeneous porous medium

In this research, we present analytical solution of two phase incompressible flow through a homogeneous porous medium. Water was injected at one end of the porous medium to stimulate oil recovery at the other end. From the modelled equations, we are able to determine pressure variation at different depth profiles. The results revealed increase in pressure as depth increases. This is in line with what is obtainable in practical scenarios.

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A Numerical Method for an Inverse Problem Arising in Two-Phase Fluid Flow Transport Through a Homogeneous Porous Medium

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_56 ◽

2019 ◽

pp. 615-623

Author(s):

Aníbal Coronel ◽

Richard Lagos ◽

Pep Mulet ◽

Mauricio Sepúlveda

Keyword(s):

Inverse Problem ◽

Porous Medium ◽

Fluid Flow ◽

Numerical Method ◽

Two Phase ◽

Flow Transport ◽

Homogeneous Porous Medium ◽

Phase Fluid

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Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium

Journal of Porous Media ◽

10.1615/jpormedia.v12.i12.20 ◽

2009 ◽

Vol 12 (12) ◽

pp. 1139-1152 ◽

Cited By ~ 3

Author(s):

Michal Benes ◽

Radek Fucik ◽

Jiri Mikyska ◽

Tissa H. Illangasekare

Keyword(s):

Porous Medium ◽

Numerical Solution ◽

Two Phase Flow ◽

Phase Flow ◽

Two Phase ◽

One Dimensional ◽

Homogeneous Porous Medium

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Characterization of the speed of a two-phase interface in a porous medium

Mathematical Problems in Engineering ◽

10.1155/mpe.2005.641 ◽

2005 ◽

Vol 2005 (6) ◽

pp. 641-661 ◽

Cited By ~ 2

Author(s):

Adil Abbassi ◽

Gawtum Namah

Keyword(s):

Porous Medium ◽

Reservoir Simulation ◽

Water Injection ◽

Phase Interface ◽

Oil Reservoir ◽

Two Phase ◽

Typical Situation ◽

Oil Water ◽

Oil Reservoir Simulation

A typical situation of oil reservoir simulation is considered in a porous medium where the resident oil is displaced by water injection. An explicit expression of the speed of the oil-water interface is given in a pseudo-2D case via the resolution of an auxiliary Riemann problem. The explicit 2D solution is then corroborated with numerical simulations by solving the transport equation with a generalized scheme of Harten type.

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Modelling Of Transport And Capture Of Particles In A Porous Medium

Promyshlennoe i Grazhdanskoe Stroitel stvo ◽

10.33622/0869-7019.2019.11.56-60 ◽

2019 ◽

pp. 56-60

Keyword(s):

Porous Medium ◽

Asymptotic Solution ◽

Retention Mechanism ◽

Inverse Filtering ◽

Underground Structures ◽

Loose Soil ◽

Monodisperse Suspension ◽

Homogeneous Porous Medium ◽

Model Equations ◽

Pass Through

The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.

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