Abstract
The mass transport in a homogeneous, saturated aquifer can be influenced by convection, diffusion, decay and biodegradation, sorption and chemical reactions. For a steady state one-dimensional flow through a homogeneous isotropic medium with constant material parameters, the following differential equation (10.1) is applied.
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A. Ogata and R. B. Banks. A solution of the differential equation of longitudinal dispersion in porous media. Technical report, U.S. Geological Survey, Washington, D.C., 1961.
A. Habbar. Direkte und inverse Modellierung reaktiver Transportprozesse in klüftig-porösen medien. Dissertation, Bericht Nr. 65, Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen, 2001.
G. Kosakowski and P. Smith. Modelling the transport of solutes ans colloids in the grimsel migration shear zone. Technical Report 05-03, Paul Scherrer Institut, Villigen, Switzerland, 2005.
J. Bear. Hydraulics of groundwater. McGraw-Hill, New York, 1979.
K. Ito. On stochastical differential equations. American Mathematical Society, 4:289–302, 1951.
W. Kinzelbach. Groundwater Modelling. Elsevier, Amsterdam, 1986.
A F B Tompson and L W Gelhar. Numerical simulation of solute transport in three-dimensional randomly heterogeneous porous media. Water Resources Research, 26(10):2451–2562, 1990.
E. M. LaBolle, G. E. Fogg, and A. F. B. Tompson. Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods. Water Resources Research, 32(3):583–593, 1996.
W. Kinzelbach. The random-walk method in pollutant transport simulation. NATO ASI Ser, Ser.(C224):227–246, 1988.
H. Hoteit, R. Mose, A. Younes, F. Lehmann, and Ph. Ackerer. Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods. Mathe. Geology, 34(4):435–456, 2002.
T. Harter and S. Wagner. Colloid transport and filtration of Cryptosporidium parvum in sandy soils and aquifer sediments. Environ. Sci. Technol., 34:62–70, 2000.
W. P. Johnson, K. A. Blue, and B. E. Logan. Modeling bacterial detachment during transport through porous media as a residence-time-dependent process. Water Resour. Res., 31:2649–2658, 1995.
A E Hassan and M M Mohamed. On using particle tracking methods to simulate transport in single-continuum and dual continua porous media. Journal of Hydrology, 275(3-4):242–260, 2003.
A.R. Piggott and D. Elsworth. Laboratory assessment of the equivalent apertures of a rock fracture. Geophysical Research Letters, 20(13):1387–1390, 1993.
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Bauer, S. et al. (2012). Mass Transport. In: Kolditz, O., Görke, UJ., Shao, H., Wang, W. (eds) Thermo-Hydro-Mechanical-Chemical Processes in Porous Media. Lecture Notes in Computational Science and Engineering, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27177-9_10
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DOI: https://doi.org/10.1007/978-3-642-27177-9_10
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