DSpace DSpace UPC
 Català   Castellano   English  

E-prints UPC >
Altres >
Enviament des de DRAC >

Empreu aquest identificador per citar o enllaçar aquest ítem: http://hdl.handle.net/2117/15566

Arxiu Descripció MidaFormat
Probability density function of steady state concentration in two-dimensional heterogeneous porous media.pdf4,78 MBAdobe PDFThumbnail
Veure/Obrir

Citació: Cirpka, O. [et al.]. Probability density function of steady-state concentration in two-dimensional heterogeneous porous media. "Water resources research", 2011, vol. 47, p. W11523-1-W11523-14.
Títol: Probability density function of steady-state concentration in two-dimensional heterogeneous porous media
Autor: Cirpka, Olaf; Barros, Felipe de Veure Producció científica UPC; Chiogna, Gabriele; Nowak, Wolfgang
Data: 2011
Tipus de document: Article
Resum: Spatial variability of hydraulic aquifer parameters causes meandering, squeezing, stretching, and enhanced mixing of steady state plumes in concentrated hot-spots of mixing. Because the exact spatial distribution of hydraulic parameters is uncertain, the spatial distribution of enhanced mixing rates is also uncertain. We discuss how relevant the resulting uncertainty of mixing rates is for predicting concentrations. We develop analytical solutions for the full statistical distribution of steady state concentration in two-dimensional, statistically uniform domains with log-hydraulic conductivity following an isotropic exponential model. In particular, we analyze concentration statistics at the fringes of wide plumes, conceptually represented by a solute introduced over half the width of the domain. Our framework explicitly accounts for uncertainty of streamline meandering and uncertainty of effective transverse mixing (defined at the Darcy scale). We make use of existing low-order closed-form expressions that lead to analytical expressions for the statistical distribution of local concentration values. Along the expected position of the plume fringe, the concentration distribution strongly clusters at its extreme values. This behavior extends over travel distances of up to tens of integral scales for the parameters tested in our study. In this regime, the uncertainty of effective transverse mixing is substantial enough to have noticeable effects on the concentration probability density function. At significantly larger travel distances, intermediate concentration values become most likely, and uncertainty of effective transverse mixing becomes negligible. A comparison to numerical Monte Carlo simulations of flow and solute transport show excellent agreement with the theoretically derived expressions.
ISSN: 0043-1397
URI: http://hdl.handle.net/2117/15566
DOI: 10.1029/2011WR010750
Versió de l'editor: http://www.agu.org/pubs/crossref/2011/2011WR010750.shtml
Apareix a les col·leccions:Altres. Enviament des de DRAC
GHS - Grup d'Hidrologia Subterrània. Articles de revista
Comparteix:


Stats Mostra les estadístiques d'aquest ítem

SFX Query

Tots els drets reservats. Aquesta obra està protegida pels drets de propietat intel·lectual i industrial corresponents. Sense perjudici de les exempcions legals existents, queda prohibida la seva reproducció, distribució, comunicació pública o transformació sense l'autorització del titular dels drets.

Per a qualsevol ús que se'n vulgui fer no previst a la llei, dirigiu-vos a: sepi.bupc@upc.edu

 

Valid XHTML 1.0! Programari DSpace Copyright © 2002-2004 MIT and Hewlett-Packard Comentaris
Universitat Politècnica de Catalunya. Servei de Biblioteques, Publicacions i Arxius