Errata to ‘Analytical solutions for advective-dispersive solute transport in double-layered finite porous media’, International Journal of Numerical and Analytical Methods in Geomechanics, 2011; 35:438-460 , DOI: 10.1002/nag.903

2012 ◽  
Vol 36 (14) ◽  
pp. 1682-1682
Author(s):  
Yu-Chao Li ◽  
Peter John Cleall
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Analytical Solutions ◽  
Analytical Methods ◽  
Numerical And Analytical Methods

Analytical Solutions for Solute Transport in Three-Dimensional Semi-infinite Porous Media

1991 ◽  
Vol 27 (10) ◽  
pp. 2719-2733 ◽  
Author(s):  
Feike J. Leij ◽  
Todd H. Skaggs ◽  
Martinus Th. Van Genuchten
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Analytical Solutions ◽  
Three Dimensional

scholarly journals MRS2016: Rigid Moon Rotation Series in the Relativistic Approximation

2017 ◽  
Vol 52 (1) ◽  
pp. 1-8
Author(s):  
V.V. Pashkevich
Keyword(s):  
Numerical Solution ◽  
High Precision ◽  
Analytical Solutions ◽  
Analytical Methods ◽  
The Moon ◽  
Relativistic Approximation ◽  
First Time ◽  
Numerical And Analytical Methods

Abstract The rigid Moon rotation problem is studied for the relativistic (kinematical) case, in which the geodetic perturbations in the Moon rotation are taken into account. As the result of this research the high-precision Moon Rotation Series MRS2016 in the relativistic approximation was constructed for the first time and the discrepancies between the high-precision numerical and the semi-analytical solutions of the rigid Moon rotation were investigated with respect to the fixed ecliptic of epoch J2000, by the numerical and analytical methods. The residuals between the numerical solution and MRS2016 in the perturbing terms of the physical librations do not exceed 80 mas and 10 arc seconds over 2000 and 6000 years, respectively.

scholarly journals How to use solutions of Advection-Dispersion Equation to describe reactive solute transport through porous media

2021 ◽  
Vol 60 (3) ◽  
pp. 229-240
Author(s):  
Jetzabeth Ramírez Sabag ◽  
Dennys Armando López Falcón
Keyword(s):  
Boundary Condition ◽  
Porous Media ◽  
Solute Transport ◽  
Dispersion Equation ◽  
Analytical Solutions ◽  
Peclet Number ◽  
Reactive Solute Transport ◽  
Péclet Number ◽  
Advection Dispersion ◽  
Outlet Boundary Condition

ResumenLas soluciones de la Ecuación de Advección-Dispersión son usadas frecuentemente para describir el transporte de solutos a través de medios porosos, considerando adsorción en equilibrio, de tipo lineal y reversible. Para indicar algunas sugerencias acerca de este tema, se hizo una revisión de las soluciones analíticas disponibles. Hay soluciones para Problemas con Condiciones de Frontera, de primer y tercer-tipo en la entrada así como de primer y segundo-tipo a la salida. Se analiza el comportamiento de las soluciones equivalentes, para sistemas finitos y semi-infinitos, observando que las soluciones de los sistemas semi-infinitos se aproximan a las correspondientes de los sistemas finitos conforme la condición de frontera de salida en el infinito se aproxima a la ubicación de medición del sistema finito. Solamente se presentan las soluciones analíticas con condiciones de frontera de segundo-tipo a la salida, ya que son iguales a las correspondientes soluciones analíticas con frontera de primer-tipo a la salida, para ambos tipos de condiciones de frontera de entrada usadas. Un análisis paramétrico, basado en el número de Peclet, muestra que todas las soluciones convergen cuando el número de Peclet es mayor que veinte. Los sistemas investigados deben tener un número de Peclet mayor que cinco para usar con confianza las soluciones de la Ecuación de Advección-Dispersión para describir el transporte de soluto en medios porosos.Palabras Clave: Ecuación de Advección-Difusión, Soluciones Analíticas, Transporte de Solutos Reactivos, Medios Porosos.AbstractThe solutions of Advection-Dispersion Equation are frequently used to describe solute transport through porous media when considering lineal and reversible equilibrium adsorption. To notice some warnings about this item, a review of analytical solutions available was done. There are solutions for Boundary Value Problems with first and third-type inlet boundary conditions as well as first and second-type outlet boundary condition. The behavior of equivalent solutions for finite and semi-infinite systems are analyzed, observing that semi-infinite system solutions approximates to the corresponding finite ones as the “infinite” outlet boundary condition approach to the finite measurement location. Because the analytical solutions with a first-type outlet boundary condition are equal to the corresponding analytical solutions with a second-type one, for both inlet boundary condition type used, only the latter is presented. A parametric analysis based on Peclet number shows that all solutions converge for Peclet number greater than twenty. Systems under research must have Peclet number greater than five to use confidently the solutions of Advection-Dispersion Equation to describe reactive solute transport through porous media.Keywords: Advection-Diffusion Equation, Analytical solutions, Reactive Solute Transport, Porous Media.

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