96/02258 Numerical studies of solute transport in a fractured medium subject to near- and non-equilibrium mass transfer

1996 ◽  
Vol 37 (2) ◽  
pp. 151
2009 ◽  
Vol 6 (2) ◽  
pp. 2415-2449 ◽  
Author(s):  
O. Silva ◽  
J. Carrera ◽  
S. Kumar ◽  
M. Dentz ◽  
A. Alcolea ◽  
...  

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.


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