Solute Transport in the Element of Fractured Porous Medium with an Inhomogeneous Porous Block

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.

[1]  Anders Rasmuson,et al.  Exact solution of a model for diffusion in particles and longitudinal dispersion in packed beds , 1980 .

[2]  Satish Karra,et al.  Matrix Diffusion in Fractured Media: New Insights Into Power Law Scaling of Breakthrough Curves , 2019 .

[3]  John F. Pickens,et al.  Solute transport through fractured media: 1. The effect of matrix diffusion , 1980 .

[4]  John F. Pickens,et al.  An analytical solution for solute transport through fractured media with matrix diffusion , 1981 .

[5]  Emil O. Frind,et al.  Contaminant transport in fractured porous media: Analytical solutions for a system of parallel fractures , 1982 .

[6]  Felix Otto,et al.  Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: uniqueness of weak solutions , 2000 .

[7]  R. Černý,et al.  Modeling of radionuclide transport in porous media: A review of recent studies , 2019 .

[8]  Emil O. Frind,et al.  Contaminant Transport in Fractured Porous Media: Analytical Solution for a Two‐Member Decay Chain in a Single Fracture , 1984 .

[9]  J. Davidson,et al.  Transport of Picloram in Relation to Soil Physical Conditions and Pore-Water Velocity1 , 1972 .

[10]  T. Iqbal,et al.  Simulation of Diffusive Transport of Radionuclides in the Soil of a Radioactive Waste Disposal Site , 2012 .

[11]  B. Das,et al.  Dual-domain solute transfer and transport processes: evaluation in batch and transport experiments. , 2004, Journal of contaminant hydrology.

[12]  Mostafa Safdari Shadloo,et al.  Viscous fingering phenomena in the early stage of polymer membrane formation , 2019, Journal of Fluid Mechanics.

[13]  T. Austad,et al.  Adsorption II. Nonequilibrium adsorption of surfactants onto three reservoir cores from the Norwegian Continental Shelf. The effects of clay minerals , 1991 .

[15]  Anders Rasmuson,et al.  Migration of radionuclides in fissured rock: The influence of micropore diffusion and longitudinal dispersion , 1981 .

[16]  E. A. Sudicky,et al.  Contaminant transport in fractured porous media: Analytical solution for a single fracture , 1981 .

[17]  Chin-Fu Tsang,et al.  Flow and tracer transport in fractured media: A variable aperture channel model and its properties , 1988 .

[18]  Ivars Neretnieks,et al.  Diffusion in the rock matrix: An important factor in radionuclide retardation? , 1980 .

[19]  B Berkowitz,et al.  Analysis of field observations of tracer transport in a fractured till. , 2001, Journal of contaminant hydrology.

[20]  A. Rasmuson.  Migration of Radionuclides in Fissured Rock: Analytical Solutions for the Case of Constant Source Strength , 1984 .

[21]  D. Norton,et al.  Transport phenomena in hydrothermal systems: the nature of porosity , 1977 .

[22]  M. N. Toksoz,et al.  Modeling Fluid Flow In Heterogeneous And Anisotropic Porous Media , 1991 .

[23]  Martin J. Blunt,et al.  Simulation of multiphase flow in fractured reservoirs using a fracture-only model with transfer functions , 2010 .

[24]  Dong-mei Zhou,et al.  Cotransport of Cu with Graphene Oxide in Saturated Porous Media with Varying Degrees of Geochemical Heterogeneity , 2020, Water.

[25]  B. Khuzhayorov.  Macroscopic simulation of relaxation mass transport in a porous medium , 2004 .

[26]  John A. Cherry,et al.  Solute transport through fractured media: 2. Column study of fractured till , 1980 .

[27]  V. M. Maksimov,et al.  Determining equations of two-phase flows through anisotropic porous media , 1998 .

[28]  Mostafa Safdari Shadloo,et al.  Three-dimensional lattice Boltzmann simulations of high density ratio two-phase flows in porous media , 2018, Comput. Math. Appl..

[29]  J. Barker.  Laplace transform solutions for solute transport in fissured aquifers , 1982 .

[30]  Amgad Salama,et al.  Flow and Solute Transport in Saturated Porous Media: 1. The Continuum Hypothesis , 2008 .

[31]  Anders Rasmuson,et al.  An approach to modelling radionuclide migration in a medium with strongly varying velocity and block sizes along the flow path , 1984 .

[32]  Biswas,et al.  Kinetics of Adsorption of Cationic Surfactants at Silica-Water Interface. , 1998, Journal of colloid and interface science.

[33]  A. Wörman,et al.  Implications of sorption kinetics to radionuclide migration in fractured rock , 1999 .