Publication Date:
2011-09-17
Description:
In our previous study, Faulkner et al. (2009) developed a Stokes-Darcy (SD) model for flow in a karst aquifer with a conduit bedded in matrix. Beavers-Joseph (BJ) interface condition was used to describe the matrix/conduit interface. Cao et al. (2010) studied the mathematical well-posedness of a coupled continuum pipe-flow (CCPF) model as well as convergence rates of its finite element approximation. In this study, to compare the SD model with the CCPF model, we use numerical analyses to validate finite element discretization methods for the two models. Using computational experiments, simulation codes implementing the finite element discretizations are then verified. Further model validation studies are based on the results of laboratory experiments. Comparing the results of computer simulations and experiments, we conclude that the SD model with the BJ interface condition is a valid model for conduit/matrix systems. On the other hand, the CCPF model with the value of the exchange parameter chosen within the range suggested in the literature perhaps does not result in good agreement with experimental observations. We then examine the sensitivity of the CCPF model with respect to the exchange parameter, concluding that, as has previously been noted, the model is highly sensitive for small values of the exchange parameter. However, for larger values, the model becomes less sensitive and, more important, also produces results that are in better agreement with experimental observations. This suggests that the CCPF model may also produce accurate simulation results, if one chooses larger values of the exchange parameter than those suggested in the literature. Copyright © 2011 John Wiley & Sons, Ltd.
Print ISSN:
0885-6087
Electronic ISSN:
1099-1085
Topics:
Architecture, Civil Engineering, Surveying
,
Geography
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