Numerical Investigation of Solute Transport in A Non-Homogeneous Porous Medium Using Nonlinear Kinetics

In this paper, the problem of solute transport in a fractured-porous medium taking into account the non-equilibrium adsorption kinetic is studied. The solute transport in fractured-porous medium consisting of two fractures and a porous block between them located in a symmetric form is considered. The problem is then solved numerically by using the finite difference method. Based on the numerical results, the solute concentration and adsorption fields in the fractures and porous blocks are shown in graphical form. The effect of adsorption on the solute transport in a fractured-porous medium is then analyzed. In the case of different parameters in two zones, asymmetric distribution of the solute concentration and adsorption is obtained. The nonlinear kinetics of adsorption leads to an increase in the adsorption effects, conversely slowing down the rate of the distribution of concentration of the solute in the fluid.

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Solute Transport in 3D Laboratory Model Through an Homogeneous Porous Medium: Behaviour of Dense Phase and Simulation

Computational Methods in Water Resources X - Water Science and Technology Library ◽

10.1007/978-94-010-9204-3_64 ◽

1994 ◽

pp. 521-528 ◽

Cited By ~ 1

Author(s):

C. Oltean ◽

Ph. Ackerer ◽

M. A. Buès

Keyword(s):

Porous Medium ◽

Solute Transport ◽

Laboratory Model ◽

Dense Phase ◽

Homogeneous Porous Medium

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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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