Abstract
We derived new equations of fracture aperture (or tube diameter) as functions of a tortuosity factor that can be used in discrete models and even in continuum equivalent models to simulate fluid flow and pollutant transport in fractured aquifers. MODFLOW/MT3DMS water velocity predictions have been compared with those obtained using a specific software application which solves flow and transport problems in a 3D set of parallel fissures. The results of a pumping/tracer test carried out in a fractured limestone aquifer in Bari (Southern Italy) have been used to calibrate advective/dispersive tracer fluxes given by the applied models. The mean tracer velocity given by a breakthrough curve was greater than values predicted by continuum models. This discrepancy increased when the hydraulic conductivity of the considered fractured medium decreased. Successful simulations of flow and transport in the fractured limestone aquifer are then achieved by accommodating a new tortuosity factor in models. The importance of the proposed tortuosity factor correction lies in the possibility of taking into account the effective tracer velocity during flow and transport simulations in fractures even when using a continuum model.
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References
Anderson M.P., Woessner W.W.: Applied Groundwater Modeling Simulation of Flow and Advective Transport. Academic Press, San Diego, CA (1992)
Bear J.: Dynamics of Fluids in Porous Media, pp. 125–127. American Elsevier Publishing Company, Inc, New York (1972)
Bear J.: Modeling flow and contaminant transport in fractured rocks. In: Bear, J., Tsang, C.F., de Marsily, G. (eds) Flow and Contaminant Transport in Fractured Rock, pp. 1–37. Academic Press, San Diego, CA (1993)
Berkowitz B., Bear J., Braester C.: Continuum models for contaminant transport in fractured porous formations. Water Resour. Res. 24(8), 1225–1236 (1988). doi:10.1029/WR024i008p01225
Budge J.T., Sharp J.M. Jr: Modelling the usefulness of spatial correlation analysis on karst system. Ground Water 47(3), 427–437 (2009)
Chiles, J.P., de Marsily, G.: Stochastic models of fracture system and their use in flow and transport modeling. In: Bear, J., Tsang, C.F., de Marsily, G. (eds.) Flow and Contaminant Transport in Fractured Rock, pp. 169–236. Academic Press, San Diego (1993)
Christakos G.: Random Field Models in Earth Sciences. Academic Press, San Diego, CA (1992)
Darcel C., Bour O., Davy P., Dreuzy J.R.: Connectivity properties of two-dimensional fracture networks with stochastic fractal correlation. Water Resour. Res. 39(19), 1272 (2003). doi:10.1029/2002Wr001628
Gelhar L.W.: Stochastic Subsurface Hydrology, pp. 07632. Prentice-Hall Inc., Englewood Cliffs, NJ (1993)
Green R.T., Painter S.L., Sun A., Worthington S.R.H.: Groundwater contamination in karst terrains. Water Air Soil Pollut. Focus 6, 157–170 (2006)
Gueguen, Y., Dienes, J.: Transport properties of rocks from statistics and percolation. Math. Geol. 21(1), 1–13 (1989). doi:10.1007/BF00897237
Harbaugh, A.W.: MODFLOW-2005, the US Geological Survey, Techniques and Methods 6-A16, Reston, Virginia, v. 1.8.00 (2005)
Journel A.G., Huijbregts C.J.: Mining Geostatistics. Academic Press, London (1978)
Kazemi, H., Gilman, J.R.: Multiphase flow in fractured petroleum reservoirs. In: Bear, J., Tsang, C.-F., de Marsily, G. (eds.) Flow and Contaminant Transport in Fractured Rock, pp. 270–272. Academic Press, San Diego, CA (1993)
Kovács A., Sauter M.: Modelling karst hydrodynamics. In: Martin, J.B., White, W.B. (eds) Frontiers of Karst Research, pp. 13–26. Printed in the USA by BookMasters Inc., Ashland, OH (2008)
Langevin C.D.: Stochastic ground water flow simulation with a fracture zone continuum model. GroundWater 41(5), 587–601 (2003)
Liu J., Zheng C., Zheng L., Lei Y.: Ground water sustainability: methodology and application to the North China plain. GroundWater 46(6), 897–909 (2008)
Lu J., Guo Z., Chai Z., Shi B.: Numerical study on the tortuosity of porous media via lattice Boltzmann method. Commun. Comput. Phys. 6(2), 354–366 (2009)
Masciopinto C., La Mantia R., Chrysikopoulos C.V.: Fate and transport of pathogens in a fractured aquifer in the Salento area, Italy. Water Resour. Res. 44, W01404 (2008). doi:10.1029/2006WR005643
Masciopinto C., Volpe A., Palmiotta D., Cherubini C.: A combined PHREEQC-2/parallel fracture model for the simulation of laminar/non-laminar flow and contaminant transport with reactions. J. Contam. Hydrol. 117, 94–108 (2010)
Montes J.M., Cuevas F.G., Cintas J.: Electrical and thermal tortuosity in powder compacts. Granul. Matter 9, 401–406 (2007). doi:10.1007/s10035-007-0061-3
Moreno L., Tsang Y.W., Tsang C.F., Hale V., Neretnieks I.: Flow and tracer transport in a single fracture: a stochastic model and its relation to some field observations. Water Resour. Res. 24, 2033–2048 (1988)
Nordqvist W.A., Tsang Y.W., Tsang C.F., Dverstorp B., Andersson J.: Effects of high variance of fracture transmissivity on transport and sorption at different scales in a discrete model for fractured rocks. J. Contam. Hydrol. 22, 39–66 (1996)
Oron A.P., Berkowitz B.: Flow in rock fractures: the local cubic law assumption reexamined. Water Resour. Res. 34(11), 2811–2825 (1998). doi:10.1029/98WR02285
Park Y.-J., Lee K.-K., Berkowitz B.: Effects of junction transfer characteristics on transport in fracture networks. Water Resour. Res. 37(4), 909–923 (2001). doi:10.1029/2000WR900365
Ramaswamy S., Gupta M., Goel A., Aaltosalmi U., Kataja M., Koponen A., Ramarao B.V.: The 3D structure of fabric and its relationship to liquid and vapor transport. Colloid Surf. A: Physicochem. Eng. Asp. 241, 323–333 (2004)
Scanlon B.R., Mace R.E., Barrett M.E., Smith B.: Can we simulate regional groundwater flow in a karst system using equivalent porous media models? Case study, Barton Springs Edwards aquifer, USA. J. Hydrol. 276, 137–158 (2003)
Schwartz F., Smith L., Crowe A.: A stochastic analysis of macroscopic dispersion in fractured media. Water Resour. Res. 19, 1253–1265 (1983)
Shafer J.M., Brantley D.T., Waddell M.G.: Variable-density flow and transport simulation of wellbore brine displacement. GroundWater 48(1), 122–130 (2010)
Tsang Y.W.: The effect of tortuosity on fluid flow through a single fracture. Water Resour. Res. 20(9), 1209–1215 (1984)
Tsang Y.W., Tsang C.F., Hale F.V., Dverstorp B.: Tracer transport in a stochastic continuum model of fractured media. Water Resour. Res. 32(10), 3077–3092 (1996)
Yun M., Yu B., Xu P., Wu J.: Geometrical models for tortuosity of streamlines in three-dimensional porous media. Can. J. Chem. Eng. 84, 301–309 (2006)
Zheng, C.: MT3DMS v. 5.3: Modular three-dimensional multispecies transport model for simulation in groundwaters Supplemental User’s Guide. Department of Geological Sciences, The University of Alabama Tuscaloosa, Alabama 35487, Technical Report, February (2010)
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Masciopinto, C., Palmiotta, D. Flow and Transport in Fractured Aquifers: New Conceptual Models Based on Field Measurements. Transp Porous Med 96, 117–133 (2013). https://doi.org/10.1007/s11242-012-0077-y
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DOI: https://doi.org/10.1007/s11242-012-0077-y