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TitreA diffusion approximation for a network of reservoirs with power law release rule
AuteurGlynn, J E; Glynn, P W
SourceStochastic Hydrology and Hydraulics vol. 10, 1996 p. 17-37,
Séries alt.Commission géologique du Canada, Contributions aux publications extérieures 1999162
ÉditeurSpringer Nature
Documentpublication en série
Mediapapier; en ligne; numérique
Sujetsparamètres de la roche réservoir; fluides du réservoir; hydraulique; diffusion; géomathématique
Résumé(disponible en anglais seulement)
A diffusion approximation for a network of continuous time reservoirs with power law release rules is examined. Under a mild assumption on the inflow processes, we show that for physically reasonable values of the power law constants, the system of processes converges to a multi-dimensional Gaussian diffusion process. We also illustrate how the limiting Gaussian process may be used to compute approximations to the original system of reservoirs. In addition, we study the quality of our approximations by comparing them to results obtained by simulations of the original watershed model. The simulations offer support for the use of the approximation developed here.