Abstract

During subsurface transport, reactive solutes are subject to a variety of hydrodynamic and chemical processes. The major hydrodynamic processes include advection and convection, dispersion and diffusion. The key chemical processes are complexation including hydrolysis and acid-base reactions, dissolution-precipitation, reduction-oxidation, adsorption and ion exchange. The combined effects of all these processes on solute transport must satisfy the principie of conservation of mass. The statement of conservation of mass for N mobile species leads to N partial differential equations. Traditional solute transport models often incorporate the effects of hydrodynamic processes rigorously but oversimplify chemical interactions among aqueous species. Sophisticated chemical equilibrium models, on the other hand, incorporate a variety of chemical processes but generally assume no-flow systems. In the past decade, coupled models accounting for complex hydrological and chemical processes, with varying degrees of sophistication, have been developed. The existing models of reactive transport employ two basic sets of equations. The transport of solutes is described by a set of partial differential equations, and the chemical processes, under the assumption of equilibrium, are described by a set of nonlinear algebraic equations. An important consideration in any approach is the choice of primary dependent variables. Most existing models cannot account for the complete set of chemical processes, cannot be easily extended to include mixed chemical equilibria and kinetics, and cannot handle practical two and three dimensional problems. The difficulties arise mainly from improper selection of the primary variables in the transport equations.

Highlights

  • During subsurface transport, reactive solutes are subject to a variety of hydrodynamic and chemical processes

  • Por un lado, las ecuaciones diferenciales en derivadas parciales (EDP) correspondientes al transporte de solutos y las correspondientes a los procesos químicos, que en la hipótesis de equilibrio químico, son ecuaciones algebraicas no lineales

  • Un aspecto importante en la solución del problema es la adecuada selección de las variables primarias dependientes las cuales satisfacen las ecuaciones de transporte

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Summary

Flujo de agua

En los casos en los que no es necesario estudiar la componente vertical del flujo, resulta conveniente definir la transmisividad y el coeficiente de almacenamiento como: El flujo de agua a través de un medio poroso, en respuesta a las variaciones de presión y de las fuerzas gravitatorias, viene dado por la Ley de Darcy que, en su forma más general, tiene la expresión:. Esta dependencia se toma como lineal, suponiendo T = K (h - Zbase)' El cambio es mucho más sustancial para el coeficiente de almacenamiento, que se convierte en: S == Ss (h - Zbase) + Sy, donde Sy es la porosidad drenable que suele ser varios órdenes de magnitud mayor que el primer sumando, por lo que normalmente este último se desprecia. La condición de tipo mixto implica establecer una relación, normalmente lineal, entre el nivel del acuífero y el flujo a través del contorno. El flujo advectivo viene dado por el producto del caudal unitario (velocidad de Darcy q) por la concentración:

Transferencia de masa para sotutos conservativos
Tratamiento general de las reacciones químicas
El equilibrio químico
Reacciones homogéneas
Reacciones heterogéneas
Acoplamiento de transporte y reacciones químicas
Formulación conjunta
Métodos de solución
Full Text
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