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.

中文翻译：

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通过交替脉冲抽水降低地下水抽水成本

本文讨论了在有限的无限含水层中将抽水成本最小化的方法，并提出了另一种脉冲抽水方案。瞬态流量分析是在两个泵速相等的井上进行的。具体而言，对两个抽水计划进行了分析比较。在第一种情况下，油井使用者同时抽水，而在第二种情况下，他们合作以交替抽水。本文证明，无论含水层的特性如何，拟议的替代抽水方案都可作为稳定器，减少高水力降落值。此外，与同时抽水相比，交替抽水在抽水成本方面更好，尽管随着井间距离变大，收益变得微不足道。提出了两个简化方程，一个人找出两个抽水方案之间水力下降的差异，另一个人找出合作中每口井的经济利益。该方程式最终适用于多种情况，并将其结果与使用Theis方程式创建的用于计算水力下降量和抽水成本的算法所获得的结果进行比较。结果可以在灌溉计划中非常有用，因为它们可以应用于井用户/农民的系统，以降低抽水成本。