World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

On the Reliability of Analytical Models to Predict Solute Transport in a Fracture Network : Volume 10, Issue 12 (06/12/2013)

By Cherubini, C.

Click here to view

Book Id: WPLBN0004011617
Format Type: PDF Article :
File Size: Pages 44
Reproduction Date: 2015

Title: On the Reliability of Analytical Models to Predict Solute Transport in a Fracture Network : Volume 10, Issue 12 (06/12/2013)  
Author: Cherubini, C.
Volume: Vol. 10, Issue 12
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Cherubini, C., Giasi, C. I., & Pastore, N. (2013). On the Reliability of Analytical Models to Predict Solute Transport in a Fracture Network : Volume 10, Issue 12 (06/12/2013). Retrieved from

Description: HydrISE, Institut Polytechnique LaSalle Beauvais, 19 rue Pierre Waguet, 60026 Beauvais Cedex, France. In hydrogeology, the application of reliable tracer transport model approaches is a key issue to derive the hydrodynamic properties of aquifers.

Laboratory and field-scale tracer dispersion breakthrough curves (BTC) in fractured media are notorious for exhibiting early time arrivals and late-time tailing that are not captured by the classical advection–dispersion equation (ADE). These non-Fickian features are proved to be better explained by a mobile–immobile (MIM) approach. In this conceptualization the fractured rock system is schematized as a continuous medium in which the liquid phase is separated into flowing and stagnant regions.

The present study compares the performances and reliabilities of classical Mobile–Immobile Model (MIM) and the Explicit Network Model (ENM) that takes expressly into account the network geometry for describing tracer transport behavior in a fractured sample at bench scale. Though ENM shows better fitting results than MIM, the latter remains still valid as it proves to describe the observed curves quite well.

The results show that the presence of nonlinear flow plays an important role in the behaviour of solute transport. Firstly the distribution of solute according to different pathways is not constant but it is related to the flow rate. Secondly nonlinear flow influences advection, in that it leads to a delay in solute transport respect to the linear flow assumption. Whereas nonlinear flow does not show to be related with dispersion. However the interpretation with the ENM model shows a weak transitional regime from geometrical dispersion to Taylor dispersion for high flow rates. The experimental results show that in the study case the geometrical dispersion dominates the Taylor dispersion. Incorporating the description of the flowpaths in the analytical modeling has proved to better fit the curves and to give a more robust interpretation of the solute transport.

On the reliability of analytical models to predict solute transport in a fracture network

Bauget, F. and Fourar, M.: Non-Fickian dispersion in a single fracture, J. Contam. Hydrol., 100, 137–148, doi:10.1016/j.jconhyd.2008.06.005, 2008.; Bear, J.: Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.; Berkowitz, B.: Characterizing flow and transport in fractured geological media: a review, Adv. Water Resour., 25, 861–884, 2002.; Bear, J. and Berkowitz, B.: Groundwater flow and pollution in fractured rock aquifers, in: Developments in Hydraulic Engineering, vol. 4, edited by: Novak, P., Elsevier Applied Science Publishers Ltd., New York, 175–238, 1987.; Becker, M. W. and Shapiro, A. M.: Tracer transport in fractured crystalline rock: evidence of nondiffusive breakthrough tailing, Water Resour. Res., 36, 1677–1686, doi:10.1029/2000WR900080, 2000.; Berkowitz, B., Cortis, A., Dentz, M., and Scher, H.: Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi:10.1029/2005RG000178, 2006.; Bodin, J., Delay, F., and de Marsily, G.: Solute transport in a single fracture with negligible matrix permeability: 1. fundamental mechanisms, Hydrogeol. J., 11, 418–433, 2003.; Bodin, J., Porel, G., Delay, F., Ubertosi, F., Bernard, S., and de Dreuzy, J.: Simulation and analysis of solute transport in 2-D fracture/pipe networks: the SOLFRAC program, J. Contam. Hydrol., 89, 1–28, 2007.; Cherubini, C.: A modeling approach for the study of contamination in a fractured aquifer, in: Geotechnical and Geological Engineering, vol. 26, Springer, the Netherlands, 519–533, 2008.; Cherubini, C. and Pastore, N.: Modeling contaminant propagation in a fractured and karstic aquifer, Fresen. Environ. Bull., 19, 1788–1794, 2010.; Cherubini, C. and Pastore, N.: Critical stress scenarios for a coastal aquifer in southeastern Italy, Nat. Hazards Earth Syst. Sci., 11, 1381–1393, doi:10.5194/nhess-11-1381-2011, 2011.; Cherubini, C., Giasi, C. I., and Pastore, N.: Bench scale laboratory tests to analyze non-linear flow in fractured media, Hydrol. Earth Syst. Sci., 16, 2511–2522, doi:10.5194/hess-16-2511-2012, 2012.; Cherubini, C., Giasi, C. I., and Pastore, N.: Evidence of non-Darcy flow and non-Fickian transport in fractured media at laboratory scale, Hydrol. Earth Syst. Sci., 17, 2599–2611, doi:10.5194/hess-17-2599-2013, 2013a.; Cherubini, C., Giasi, C. I., and Pastore, N.: Fluid flow modeling of a coastal fractured karstic aquifer by means of a lumped parameter approach, Environ. Earth Sci., 70, 2055–2060, 2013b.; Delay, F. and Bodin, J.: Time domain random walk method to simulate transport by advection–dispersion and matrix diffusion in fracture networks, Geophys. Res. Lett., 28, 4051–4054, 2001.; De Smedt, F. and Wierenga, P. J.: Solute transfer through columns of glass beads, Water Resour. Res., 20, 225–232, 1984.; Forchheimer, P.: Wasserbewegung durch Boden, Z. Verein Deut. Ing., 45, 1781–1788, 1901.; Feehley, C. E., Zheng, C., and Molz, F. J.: A dual-domain mass transfer approach for modeling solute transport in heterogeneous aquifers: Application to the Macrodispersion Experiment (MADE) site, Water Resour. Res., 36, 2501–2515, 2010.; Gaudet, J. P., Jégat, H., Vachaud, G., and Wierenga, P. J.: Solute transfer, with exchange between mobile and stagnant water, through unsaturated sand, Soil Sci. Soc. Am. J., 41, 665–671, 1977.; Geiger, S., Cortis, A., and Birkholzer, J. T.: Upscaling solute transport in naturally fractured porous media with the continuous time random walk method, Water Resour. Res., 46, doi:10.1029/2010WR009133


Click To View

Additional Books

  • Trends in Rainfall Erosivity in NE Spain... (by )
  • Hydrological Differentiation and Spatial... (by )
  • Estimation of Vegetation Cover Resilienc... (by )
  • What Affects the Nitrogen Retention in T... (by )
  • Uncertainty in Geological and Hydrogeolo... (by )
  • Impact of Climate Change on the Stream F... (by )
  • Water Displacement by Sewer Infrastructu... (by )
  • Watershed Discretization Based on Multip... (by )
  • Importance of Stream Temperature to Clim... (by )
  • Recharge Estimation and Soil Moisture Dy... (by )
  • Moving Beyond Traditional Model Calibrat... (by )
  • Multivariate Synthetic Streamflow Genera... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.