Toward coupling of groundwater drawdown and pumping time in a constant discharge

• Published in: Applied water science 2022-04, Vol.12 (4), p.1-13, Article 74
• Main Authors: Dastourani, Mehdi, Nazeri Tahroudi, Mohammad
• Format: Article
• Language: English
• Subjects: Aquatic Pollution; Aquifer; Arid regions; Arid zones; Comparative Law; Copula functions; Discharge; Drawdown; Earth and Environmental Science; Earth Sciences; Frequency analysis; Groundwater; Groundwater discharge; Groundwater levels; Hydrogeology; Industrial and Production Engineering; International & Foreign Law; Nanotechnology; Original Article; Private International Law; Probability; Probability distribution; Probability of occurrence; Probability theory; Pumping; Semi arid areas; Semiarid lands; Tests; Waste Water Technology; Water Industry/Water Technologies; Water Management; Water Pollution Control; Water resources
• ISSN: 2190-5487; 2190-5495
• DOI: 10.1007/s13201-022-01606-6

Groundwater is considered an essential water resource in arid and semi-arid regions such as Iran. This study used a copula-based approach to analyze the joint frequency of groundwater level and the duration of groundwater pumping with a constant discharge. In particular, this study examines the correlation between the pumping time and groundwater drawdown variables for two cases of 26.6 and 28.8 l/s constant discharges and a pumping time of 220 min. In addition, the Weibull probability distribution and Galambos copula were used for these two tests. To estimate the groundwater drawdown at different pumping times with different probabilities, the obtained typical curves by providing the contour curves of the cumulative groundwater drawdown probability and the pumping time in both tests were obtained. For example, for 150 min of pumping, the groundwater drawdown for pumping discharge of 26.64 and 28.8 l/s with a 60% probability is about 7.4 and 8 m, respectively. The results of the joint-occurrence frequency analysis in the study area showed that for each unit of increase in pumping discharge in the pumping well, a drawdown of 0.32 m is imaginable in the observation well. In the next step, the groundwater drawdown got analyzed in both tests simultaneously. Since the pumping time is the same, the effect of increasing the pumping discharge in the study area is observable in the joint-occurrence probability curve.