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首页> 外文期刊>Journal of the American Water Resources Association >A SEMIANALYTICAL SOLUTION FOR RESIDUAL DRAWDOWN AT A FINITE DIAMETER WELL IN A CONFINED AQUIFER
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A SEMIANALYTICAL SOLUTION FOR RESIDUAL DRAWDOWN AT A FINITE DIAMETER WELL IN A CONFINED AQUIFER

机译：承压含水层中有限直径井下残余压降的半解析解

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摘要

After the end of pumping the water level in the observation well starts to recover and the reduced drawdown during the recovery period is named as the residual drawdown. Traditional approaches in analyzing the data of residual drawdown for estimating the aquifer hydraulic parameters are mostly based on the application of superposition principle and Theis equation. In addition, the effect of wellbore storage is commonly ignored in the evaluation even if the test well has a finite diameter. In this article, we develop a mathematical model for describing the residual drawdown with considering the wellbore storage effect and the existing drawdown distribution produced by the pumping part of the test. The Laplace-domain solution of the model is derived using the Laplace transform technique and the time-domain result is inverted based on the Stehfest algorithm. This new solution shows that the residual drawdown associated with the boundary and initial conditions are related to the well drawdown and the aquifer drawdown, respectively. The well residual drawdown will be overestimated by the Theis residual drawdown solution in the early recovery part if neglecting the wellbore storage. On the other hand, the Theis residual drawdown solution can be used to approximate the present residual drawdown solution in the late recovery part of the test.
机译：抽水结束后，观测井中的水位开始恢复，恢复期间减少的水位下降称为剩余水位下降。传统的分析剩余水位数据估算含水层水力参数的方法主要是基于叠加原理和Theis方程的。另外，即使测试井具有有限的直径，在评估中通常也忽略了井筒存储的影响。在本文中，我们开发了一个数学模型来描述剩余的压降，其中考虑了井筒的储存效果和该测试的抽水部分产生的现有压降分布。使用Laplace变换技术导出模型的Laplace域解决方案，并根据Stehfest算法对时域结果进行反转。这种新的解决方案表明，与边界和初始条件相关的残余压降分别与井压降和含水层压降有关。如果忽略了井筒的存储量，则早期采收部分中的Theis残余沉降解决方案将高估井的残余沉降。另一方面，在测试的后期恢复部分中，可以使用Theis残余沉降溶液来近似当前的残余沉降溶液。

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