In this chapter, analytical solutions to the differential equation of mass transport for conservative solutes are illustrated. Their derivation relies on a number of simplifying hypotheses, including that: the medium is saturated, homogeneous and isotropic; water has constant density and viscosity, regardless of solute concentration; Darcy’s law is valid; flow directions and rates are uniform; transport parameters are constant within the domain; boundary conditions are constant in time. Solutions for one-, two- and three-dimensional geometries are presented, the former being mainly used for the interpretation of laboratory experiments, the latter two being more relevant for practical applications. Pulse and continuous solute release are considered. Notably, in a three-dimensional geometry a pulse input from a point source and a continuous input from a plane source are illustrated. A solution of the differential equation of mass transfer for the former contamination scenario was derived by Baetslé, while Domenico and Robbins proposed a model for the latter.

Analytical Solutions to the Differential Equation of Mass Transport for Conservative Solutes / Sethi, R.; Di Molfetta, A. (SPRINGER TRACTS IN CIVIL ENGINEERING). - In: GROUNDWATER ENGINEERING - A Technical Approach to Hydrogeology, Contaminant Transport and Groundwater Remediation[s.l] : Springer, 2019. - ISBN 978-3-030-20514-0. - pp. 225-237 [10.1007/978-3-030-20516-4_12]

Analytical Solutions to the Differential Equation of Mass Transport for Conservative Solutes

Sethi R.;Di Molfetta A.
2019

Abstract

In this chapter, analytical solutions to the differential equation of mass transport for conservative solutes are illustrated. Their derivation relies on a number of simplifying hypotheses, including that: the medium is saturated, homogeneous and isotropic; water has constant density and viscosity, regardless of solute concentration; Darcy’s law is valid; flow directions and rates are uniform; transport parameters are constant within the domain; boundary conditions are constant in time. Solutions for one-, two- and three-dimensional geometries are presented, the former being mainly used for the interpretation of laboratory experiments, the latter two being more relevant for practical applications. Pulse and continuous solute release are considered. Notably, in a three-dimensional geometry a pulse input from a point source and a continuous input from a plane source are illustrated. A solution of the differential equation of mass transfer for the former contamination scenario was derived by Baetslé, while Domenico and Robbins proposed a model for the latter.
978-3-030-20514-0
978-3-030-20516-4
GROUNDWATER ENGINEERING - A Technical Approach to Hydrogeology, Contaminant Transport and Groundwater Remediation
File in questo prodotto:
File Dimensione Formato  
capitolo 12.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 147.54 kB
Formato Adobe PDF
147.54 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2784534