A contamination source identification problem in constant porous media flow is addressed by solving the advection-dispersion equation (ADE) with a hierarchical Bayesian computation method backward through time. The contaminant concentration is modeled as a pair-wise Markov Random Field (MRF) and the distribution is updated using current concentration measurements at finite locations. Hierarchic...

ResumenLas soluciones de la Ecuación Advección-Dispersión son usadas frecuentemente para describir el transporte solutos a través medios porosos, considerando adsorción en equilibrio, tipo lineal y reversible. Para indicar algunas sugerencias acerca este tema, se hizo una revisión las analíticas disponibles. Hay Problemas con Condiciones Frontera, primer tercer-tipo entrada así como segundo-tip...

Abstract Fractured rocks in the subsurface are ubiquitous, and dynamics of mass transfer fractured plays an important role understanding problem engineering geology environmental geology. In this study, influence shear displacement on fluid flow solute transport a 3D rough fracture was investigated. A self-affine generated using modified successive random addition (SRA) technology, three sheare...

This paper presents a formal exact solution of the linear advection–diffusion transport equation with constant coefficients for both transient and steady-state regimes. A classical mathematical substitution transforms the original advection–diffusion equation into an exclusively diffusive equation. The new diffusive problem is solved analytically using the classic version of Generalized Integra...

The concentration of solute undergoing advection and local dispersion in a random hydraulic conductivity field is analyzed to quantify its variability and dilution. Detailed numerical evaluations of the concentration variance sc 2 are compared to an approximate analytical description, which is based on a characteristic variance residence time (VRT), over which local dispersion destroys concentr...

To model the observed local variation of transport speed, an extension of the homogeneous space-fractional advection-dispersion equation (fADE) to more general cases with space-dependent coefficients (drift velocity V and dispersion coefficient D) has been suggested. To provide a rigorous evaluation of this extension, we explore the underlying physical meanings of two proposed, and one other po...

[1] To model the observed local variation of transport speed, an extension of the homogeneous space-fractional advection-dispersion equation (fADE) to more general cases with space-dependent coefficients (drift velocity V and dispersion coefficient D) has been suggested. To provide a rigorous evaluation of this extension, we explore the underlying physical meanings of two proposed, and one othe...