Related Experiment Video
Updated: Jul 11, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Interpretation of spring recession curves
1Institute of Earth Sciences, The Hebrew University of Jerusalem, Israel.
This study examines how spring discharge decreases over time, known as recession curves, in northern Israel. Researchers analyzed springs draining perched carbonate aquifers and found that the decay pattern can be described using two exponential terms. These terms reflect different flow components: fast flow through cracks and slow flow through porous media. The study shows that aquifer lithology and conduit geometry strongly influence these patterns. In normal years, the fast flow coefficient remains constant, but during extended dry periods, it slightly decreases. These findings help understand how geological features affect groundwater behavior.
Area of Science:
- Hydrology and groundwater studies
- Aquifer characterization in geological sciences
- Karst hydrology within environmental engineering
Background:
Understanding groundwater dynamics remains a challenge in hydrological research. Recession curves are used to describe how spring discharge decreases over time. These curves can reveal details about aquifer structure and storage properties. Prior research has shown that recession curves reflect the hydraulic characteristics of subsurface media. However, the exact relationship between lithology and recession behavior is not fully understood. This gap motivated researchers to examine springs in different geological settings. No prior work had resolved how aquifer geometry and lithology influence recession curve parameters. This study aims to clarify the role of aquifer lithology and conduit geometry in recession behavior.
Purpose Of The Study:
The study seeks to understand how aquifer lithology affects spring recession behavior. Researchers focused on springs in the Judean and Galilee Mountains in Israel. The goal was to determine if recession curve parameters reflect aquifer properties. Specifically, the team examined whether hydraulic conductivity and lithology correlate with recession coefficients. They tested whether different geological formations produce distinct recession patterns. The study also aimed to assess how seasonal variations affect these coefficients. By analyzing multiple springs over several years, the team sought to isolate lithological influences. This work contributes to the broader field of aquifer characterization and groundwater modeling.
Main Methods:
The researchers collected discharge data from nine perennial springs in northern Israel. These springs drain perched carbonate aquifers with varying lithologies and structures. Eight springs were located in karst dolomite, and one in fractured chalk. The team used recession curve analysis to model discharge decay over time. They fit the data to a two-exponential function with coefficients alpha1 and alpha2. Each coefficient represents a different flow component: fast and slow flow. The researchers compared recession parameters across springs and across years. This approach allowed them to assess how lithology and seasonal conditions influence the coefficients.
Main Results:
The study found that all recession curves fit well with a two-exponential function. The alpha1 coefficient, representing fast flow, was relatively constant for each spring. The alpha2 coefficient, representing slow flow, also showed consistent behavior. The highest coefficient was associated with cracks or conduits, while the lower one with porous media. Springs in karst dolomite showed similar alpha values compared to fractured chalk springs. In normal years, alpha1 remained unchanged despite seasonal variations. However, during dry winters with extended dry periods, alpha1 decreased slightly over time. These findings suggest that aquifer lithology and conduit geometry strongly influence recession behavior.
Conclusions:
The authors concluded that aquifer lithology and conduit geometry are key factors in recession behavior. The exponential coefficients alpha1 and alpha2 reflect hydraulic properties of the media. The study supports the idea that fast flow occurs through cracks or conduits, while slow flow occurs through porous media. The consistency of alpha values across years suggests stable aquifer properties. However, during extended dry periods, alpha1 decreased slightly, indicating seasonal influence. These findings align with prior research on karst and fractured aquifers. The study does not propose new models or generalizations beyond the observed data. The authors emphasize the importance of lithology and geometry in interpreting recession curves.
Frequently Asked Questions
The higher coefficient (alpha1) reflects fast flow through cracks, while the lower (alpha2) reflects slow flow through porous media.
They fitted the discharge decay to a two-exponential function with coefficients alpha1 and alpha2.
Lithology affects hydraulic conductivity and conduit geometry, which influence recession behavior.
Alpha1 represents the rate of fast flow, likely through cracks or conduits in the aquifer.
During dry winters with extended dry periods, alpha1 slightly decreased over time.
The authors suggest that aquifer lithology and geometry are key factors in recession behavior.
Related Concept Videos
Residuals and Least-Squares Property
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Residual Plots
When the residual values are plotted against the variable x, it is called a residual...
Equation of the Elastic Curve
Consider a cantilever beam with a point load at its free end (for instance, a diving board). When analyzing beam deflection with small slopes, the shape of the beam's elastic curve becomes key. The governing equation for this analysis involves the bending moment and the beam's flexural rigidity,...
Second Derivatives and the Shape of a Graph
Curve Sketching and Derivatives
Guidelines for Sketching a Curve

