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www.hydrol-earth-syst-sci-discuss.net/6/2415/2009/
doi:10.5194/hessd-6-2415-2009
© Author(s) 2009. This work is distributed
under the Creative Commons Attribution 3.0 License.
A general real-time formulation for multi-rate mass transfer problems
1Institute of Environmental Assessment and Water Research (IDǼA-CSIC), Barcelona, Spain
2Department of Geology and Geophysics, Texas A&M University, USA
3Department of Geotechnical Engineering and Geosciences, Technical University of Catalonia (UPC), Barcelona, Spain
4Hydrogeology Centre (CHYN), University of Neuchâtel, Neuchâtel, Switzerland
5Institute of Environmental Engineering, ETH Zurich, Switzerland
Abstract. Many flow and transport phenomena, ranging from delayed storage observed in pumping tests to tailing in river or aquifer tracer breakthrough curves, display non-equilibrium behavior. Usually, they are modeled by non-local in time formulations, such as multi-porosity, multiple processes non equilibrium, continuous time random walk, memory functions, integro-differential equations, fractional derivatives or multi-rate mass transfer (MRMT), among others. We develop a MRMT algorithm that can be used to represent all these formulations. The method is accurate, computationally inexpensive and easy to implement in groundwater or river flow and transport codes. In fact, we present a module that can be linked to existing programs with minimal programming effort. Its accuracy is verified by comparison with existing solutions.
Discussion Paper (PDF, 801 KB) Interactive Discussion (Closed, 4 Comments) Final Revised Paper (HESS)
Citation: Silva, O., Carrera, J., Kumar, S., Dentz, M., Alcolea, A., and Willmann, M.: A general real-time formulation for multi-rate mass transfer problems, Hydrol. Earth Syst. Sci. Discuss., 6, 2415-2449, doi:10.5194/hessd-6-2415-2009, 2009. Bibtex EndNote Reference Manager XML
