A simple model of variable residence time flow and nutrient transport in the chalk

A basic problem of modelling flow and transport in Chalk catchments arises from the existence of a deep unsaturated zone, with complex interactions between flow in fractures and water held in the fine pores of the rock matrix. The response of the water table to major infiltration episodes is rapid (of the order of days). However, chemical signals are strongly damped, suggesting that this water is of varying age, with a corresponding mixed history of nutrient loading. Clearly this effect should be represented in any model of nutrients in Chalk systems. The applicability of simplified physically-based model formulations to represent the dual response in an integrated way has been investigated by a variety of researchers, but it has been shown that these approximations break down in application to the Chalk. Mathias et at. [Mathias, S., Butter, A. P., Jackson, B.M., Wheater, H.S., this issue. Characterising flow in the Chalk unsaturated zone. In: Wheater, H.S., Peach, D., Neat, C, editors, Hydrology on LOCAR in the Pang/Lambourn, special issue of J. Hydrol, doi: 10. 101 6/j.jhydrol.2006.04.010] present a dual permeability model that explains the observed response, but such complex formulations are not readily incorporated in catchment-scale nutrient models. This paper reviews previous approaches to modelling the Chalk and then presents a pragmatic approach, with transport of solute and water through the unsaturated zone treated separately, and combined at the water table. Varying residence times are included through considering the distance between the water table and the soil surface, and the history of nutrient application at the surface. If an average rate of downwards migration of the nutrients is assumed, it is possible to derive a travel time distribution of nitrate transport to the water table using a DTM (digital terrain model) map of elevation and information on groundwater levels. This distribution can then be implemented through difference equations. The rationale behind the model. and the resulting algorithm is described, and the algorithm then applied to a hypothetical case study of nutrient loading located in the Lambourn, a groundwater-dominated Chalk catchment in Southern England. Simulated groundwater concentrations are very similar in magnitude and variability to observed Chalk groundwater series, suggesting that this simple conceptual model may well be able to capture the dominant responses of nutrient transport through the Chalk. (c) 2006 Elsevier B.V. All rights reserved.