Journal ArticleDOI
Numerical Modeling and Analysis of Solute Velocity and Macrodispersion for Linearly and Nonlinearly Sorbing Solutes in a Single Fracture with Matrix Diffusion
Muddu Sekhar,Muddu Sekhar,Muddu Sekhar,G. Suresh Kumar,G. Suresh Kumar,G. Suresh Kumar,Debasmita Misra,Debasmita Misra,Debasmita Misra +8 more
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TLDR
In this paper, the behavior of the solute velocity and effective macrodispersivity of solute front in a single fracture in the presence of rock matrix diffusion is analyzed using numerical modeling.Abstract:
The behavior of the solute velocity and effective macrodispersivity of solute front in the fracture for the transport in a single fracture in the presence of rock matrix diffusion is analyzed using numerical modeling. The study is limited to a constant continuous solute source boundary condition in a single fracture with constant aperture. Analysis is made for linear and nonlinear sorption cases. Expressions are provided for solute velocity and effective macrodispersivity of the solute fronts during asymptotic and preasymptotic stages using spatial moment analyses. The effective retardation factor and dispersivity of solutes in the fracture are found to follow an exponential function with an exponent related to fracture-matrix parameters.read more
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Journal ArticleDOI
Effect of sorption intensities on dispersivity and macro-dispersion coefficient in a single fracture with matrix diffusion
TL;DR: In this paper, a numerical model has been developed that couples matrix diffusion and nonlinear sorption at the scale of a single fracture using the dual-porosity concept, and the influence of sorption intensities on dispersivity and macro-dispersion coefficient is investigated using a method of spatial moments.
Journal ArticleDOI
Mathematical Modeling of Groundwater Flow and Solute Transport in Saturated Fractured Rock Using a Dual-Porosity Approach
TL;DR: In this paper, an improved mathematical model is suggested that better describes fluid flow through a coupled fracture-matrix system using a dual-porosity approach, which differs from a conventional model as the fracture flow equation contains a hyperbolic term in addition to the conventional dispersive term.
Journal ArticleDOI
Time-Dependent Dispersivity of Linearly Sorbing Solutes in a Single Fracture with Matrix Diffusion
G. Suresh Kumar,G. Suresh Kumar,G. Suresh Kumar,Muddu Sekhar,Muddu Sekhar,Muddu Sekhar,Debasmita Misra,Debasmita Misra,Debasmita Misra +8 more
TL;DR: In this article, the authors analyzed the time-dependent dispersivity of the solute front in a single fracture with matrix diffusion and the expression for the time required to attain the asymptotic behavior.
Journal ArticleDOI
Influence of Sorption Intensity on Solute Mobility in a Fractured Formation
TL;DR: In this paper, a numerical model is developed that couples matrix diffusion and nonlinear sorption at the scale of a single fracture using the dual-porosity concept, and the influence of both favorable and unfavorable sorption intensities on solute mobility is investigated using the method of spatial moments.
Journal ArticleDOI
Temporal moment analysis of solute transport in a coupled fracture-skin-matrix system
V. Renu,G. Suresh Kumar +1 more
TL;DR: In this paper, a coupled partial differential equations for fracture, fracture-skin and rock-matrix has been solved numerically in a pseudo two-dimensional domain using implicit finite difference method.
References
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Journal ArticleDOI
The Behavior of Naturally Fractured Reservoirs
J.E. Warren,P.J. Root +1 more
TL;DR: Enginsera et al. as discussed by the authors proposed an idealized model for the purpose of studying the characteristic behavior of a permeable medium which contains regions which contribute significantly to the pore volume of the system but contribute negligibly to the flow capacity.
Journal ArticleDOI
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
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Journal ArticleDOI
Hydraulic conductivity of rock fractures
TL;DR: In this article, the authors derived the cubic law of the Navier-Stokes equations for flow between smooth, parallel plates and showed that the effective hydraulic aperture is less than the mean aperture, by a factor that depends on the ratio of the mean value of the aperture to its standard deviation.
Journal ArticleDOI
Contaminant Transport in Fractured Porous Media: Analytical Solution for a Single Fracture
TL;DR: In this paper, a general analytical solution is developed for the problem of contaminant transport along a discrete fracture in a porous rock matrix, which takes into account advective transport in the fracture, longitudinal mechanical dispersion in a fracture, molecular diffusion along the fracture axis, adsorption into the face of the matrix, adhesion within the matrix and radioactive decay.
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