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- Title
A general real-time formulation for multi-rate mass transfer problems.
- Authors
Silva, O.; Carrera, J.; Kumar, S.; Dentz, M.; Alcolea, A.; Willmann, M.
- 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.
- Subjects
STREAMFLOW; MASS transfer; PUMPING machinery; TAILINGS embankments; GROUNDWATER tracers; AQUIFERS; INTEGRO-differential equations; RANDOM walks
- Publication
Hydrology & Earth System Sciences Discussions, 2009, Vol 6, Issue 2, p2415
- ISSN
1812-2108
- Publication type
Article
- DOI
10.5194/hessd-6-2415-2009