Application of the Convolution Relation to Estimating Recharge from an Ephemeral Stream

Abstract

A linear model that permits calculation of recharge to the water table from a source of finite width and infinite length uses water level measurements made in an observation well near the source and independently estimated aquifer constants. The method requires determination of the input given the output (water level measurements) and the impulse response as a function of space and time. The latter is derived from the linear equations of groundwater motion for the particular geometry of this study. The input is obtained from the discrete form of the convolution integral by using the synthetic division method and is then summed over the appropriate time period to obtain total recharge. For the particular recharge event studies, results agree satisfactorily with an independent estimate of recharge and demonstrate that the convolution relation has practical application to groundwater flow problems.

Influences of the stream groundwater hydrology on nitrate concentration in unsaturated riparian area bounded by an intermittent Mediterranean stream

“…This results from high groundwater levels limiting the discharge of the aquifer from the stream water [Harvey and Wagner, 2000]. In contrast, the pattern observed in the Fuirosos riparian zone was similar to that observed during occasional storms in ephemeral streams located in arid regions [Moench and Kisiel, 1970;Abdulrazzak and Morel-Seytoux, 1983]. This study shows that the spatial variability of hydraulic properties (expressed as hydraulic conductivity) of the soil-weathered rock system is essential to explain stream aquifer hydrological interactions.…”

Problems of rainfall-runoff modelling in arid and semiarid regions

“…Possible approaches using only surface flow data are regression relations between reach inflow and outflow (Lane et al, 1971), a simplified differential equation for loss rate (Jordan, 1977), a kinematic wave model (Smith, 1972), and a combination of the regression and differential equation techniques which allows predictions of losses in reaches of different lengths and widths (Lane, 1982). If data on water-table response to streamflow are available, it may be possible to use correlation techniques (Moench & Kisiel, 1970), or a boundary integral model (Liggett & Dillon, 1985).…”

APPLICATION OF LINEAR SYSTEM'S THEORY AND LINEAR PROGRAMMING TO GROUND WATER MANAGEMENT IN KANSAS1

“…In order to present an equation of state based on Equation (1) which can be used in a management model, Maddock (1972) proposed the use of linear systems theory. Other investigators (Dreizin, 1975; Moench and Kisiel, 1970; Venetis, 1971; H a l l and Moench, 1972; Morel-Seytoux and Daly, 1975; Bathala, et al, 1977) have also reviewed linear systems theory and have applied it to ground water or ground water-surface water systems. Recently Gorelick and Remson (1981) have applied the principle of linear systems theory to the management of multiple ground water pollutant sources in a steady ground water region.…”