Ground Water. 2021 May;59(3):410-416. doi: 10.1111/gwat.13061. Epub 2020 Dec 16.
This paper deals with water pumping cost minimization, in a confined infinite aquifer, proposing an alternate pulsed pumping schedule. The transient flow analysis is conducted for two wells with equal pumping rates. Specifically, two pumping schedules are analytically compared. In the first case, well users pump simultaneously, and in the second one they cooperate so that they pump alternately. This paper proves that the proposed alternate pumping schedule works as a stabilizer, reducing the high hydraulic drawdowns values, regardless of the aquifer characteristics. Moreover, pumping alternately is better in terms of pumping cost, compared to simultaneous pumping, though benefit become negligible as distance between wells becomes large. Two simplified equations are proposed, one to find the difference of the hydraulic drawdowns between the two pumping schedules and the other one to find the economic benefit of each well from cooperation. The equations are finally applied to a number of cases and their results are compared to the results obtained from an algorithm created to calculate the hydraulic drawdowns and the pumping cost, using the Theis equation. The results can be very useful in irrigation scheduling, as they can be applied to systems of well users/farmers, to reduce pumping cost.
本文针对在有限的无限含水层中,提出了一种交替脉冲抽水方案,以最小化抽水成本。针对两个抽水井率相等的情况进行了瞬态流动分析。具体来说,对两种抽水方案进行了分析比较。在第一种情况下,井使用者同时抽水,而在第二种情况下,他们合作以交替抽水。本文证明,所提出的交替抽水方案可以作为一种稳定剂,降低高水力降落值,而与含水层特性无关。此外,与同时抽水相比,交替抽水在抽水成本方面更具优势,尽管随着井间距离的增大,这种优势变得微不足道。本文提出了两个简化方程,一个用于找到两种抽水方案之间的水力降落差异,另一个用于找到每个井从合作中获得的经济效益。最后,将这些方程应用于许多案例,并将其结果与使用 Theis 方程创建的算法计算水力降落和抽水成本的结果进行了比较。这些结果在灌溉调度中非常有用,因为它们可以应用于井使用者/农民系统,以降低抽水成本。