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1.
文章  刘凯  陈晓恋 《地球科学》2015,40(5):918-924
抽水井附近由于流速过快往往发生非达西流,而远离抽水井随着流速下降又变为达西流.为了描述这些特征,建立了承压含水层中非完整井附近“非达西-达西”两区渗流模型,即距离抽水井较近的区域由于流速较快假设发生非达西渗流,并利用Izbash公式刻画,而距离抽水井较远由于流速较慢假设仍然满足达西定律,含水层中垂向流速较小也利用达西定律描述.通过线性化近似方法结合Laplace变换和有限Fourier余弦变换对模型进行了求解,分析探讨了该两区模型下水位降深曲线特征.结果表明:抽水初期,非达西渗流区域水位降深与全非达西渗流模型结果吻合,而抽水后期两区模型非达西渗流区域的水位降深与全达西模型水位降深基本一致,但大于全非达西渗流模型的水位降深;抽水初期,两区模型中达西渗流区域的水位降深比全达西渗流模型结果大,但比全非达西渗流模型结果小;对不同时间的水位降深随井距变化曲线分析发现非达西渗流区域水位降深随Izbash公式中的幂指数n增大而减小,而在达西渗流区域水位降深基本不受n值的影响.研究成果对非完整井抽水试验参数反演具有重要理论意义.   相似文献   

2.
为了揭示在非承压含水层中定水头抽水试验引起的达西-非达西两区流动机理,提出基于有限差分法的地下水定水头抽水井流数值模型。该模型根据抽水的流态特征将含水层分为2个区域:靠近抽水井的有限非达西渗流区域和远离抽水井的半无限达西渗流区域,其中非达西流区域流态的模拟基于Izbash方程实现。通过与COMSOL Multiphysics的有限元数值解进行比较,验证了所提出数值解的可靠性。最后,研究有限非达西流效应对水头和抽水井抽水速率的影响以及井内水头对抽水井抽水速率的影响。研究表明:在抽水试验中非达西区域的影响不可忽略,湍流会分别导致两区流中水头较纯非达西流和纯达西流的水头偏大和偏小,且随抽水时间的增加逐渐变大;通过减小抽水井井内水头或增大非达西系数可提高抽水速率,但该影响会随抽水时间的增加而逐渐减弱;断面流量随径向距离的增大而不断减小,断面流量与径向距离曲线下降速率不断减小,且在转换界面处会出现转折点。该模型为定量研究在非达西流和达西流耦合作用下抽水井附近的井流水头特征提供了一种简洁的方法,并为调查定水头抽水测试期间的抽水速率提供理论依据。  相似文献   

3.
复杂周边条件下异形基坑承压水抽水试验研究   总被引:1,自引:0,他引:1  
霍军帅  陈焘  宫全美  周顺华 《岩土力学》2011,32(Z2):268-273
以上海自然博物馆深大异形基坑为背景,为了保护周边环境,针对日益突出的承压水问题,降压前进行了承压水抽水试验。试验结果表明,当地下连续墙插入承压含水层的深度小于承压含水层厚度的1/3时,可以忽略地下连续墙的阻隔效果;用水头恢复比 表征抽水试验结束后的水位恢复情况,发现停抽10 min 可达到10%,水位稳定时 只能达到94.5%;单井抽水能够达到的降压效果是有限的,与降压前的承压水头埋深无关;群井的降压效果随着抽水井数量的增大而增大,但是随着承压水头埋深的加大,增加相同数量的降压井产生的效率降低。  相似文献   

4.
双重介质模型在岩溶地下水流动系统模拟中的应用   总被引:1,自引:0,他引:1  
文章采用不稳定层状裂隙水流模型,应用有限元-卷积结合法,模拟了岩溶地下水流动系统。相对于等效多孔介质模型,双重介质模型模拟的水位下降速度更小,达到稳定的时间更长。距抽水井较近的观测孔处,双重介质模型模拟的水位变化过程阶段性较明显,水位变化过程类似于承压含水层-弱透水层的释水过程,裂隙和孔隙基质分别相当于承压含水层和弱透水层。然后讨论了影响裂隙和孔隙基质间水流交换项的因素,分析了孔组抽水后的渗流场特征。  相似文献   

5.
单井抽水试验是水文地质勘探中广泛实施的手段,其导水系数 K M 或渗透系数 K 值通常是从抽水结果的涌水量 Q 和井中水位降数据计算求得.但单井中水量的水位降深,多受井结构完善程度的制约,难以反映出井点处含水层真实的水位降.另外,在基岩含水层试验中,常以抽水井揭露所谓含水层的岩性岩层厚度作为含水层厚,这又给 K 值的确定带来一定的偏差.就日常工作中在对抽水成果整理方面所遇的一些问题提出见解,以共讨论  相似文献   

6.
根据流体运动的能量变化计算单井稳定流抽水涌水量   总被引:1,自引:0,他引:1  
在抽水过程中,如果已知某一降深地下水通过井壁周围岩层的孔隙和裂隙流入井内的速度V、过水断面W,可以求出这一降深的涌水量Q=WV。就如图1所示承压井而言,此承压井含水层厚度为M,井半径为v,水位降深为S,抽水前的稳定水位距含水层底板的距离为H_1,抽水后井内的水位距含水层的底板的距离为H_2,设含水断面的有效孔隙率为n_e(即多孔介质  相似文献   

7.
数值法预报出抽水井处的水位是均衡域的平均值,它既不代表抽水井井壁水位,更不代表抽水井井筒水位。在数值法拟合、预报结果的基础上,若以抽水井处拟合水位与实抽水位之差作为由计算方法和井的作用共同产生的附加除深(△hf),以附加降深(△hf)与实际单井涌水量(Q实)之比作为附加降深系数(β);多个抽水井时,可取其算术平均值作为平均附加降深系数(β),附加降深系数(β或β)与设计单井开采量(Q设)之积则是设计开采条件下抽水井的附加降深(△hf),再以抽水井处的预报水位(hj)减去该附加降深(△hf),便可得到抽水井井筒水位(hn)。  相似文献   

8.
在抽水试验中,我们分析水位降深图,当抽水井附近有稳伏边界存在时,在确定参数时要考虑边界的影响和计算抽水孔到边界的距离。笔者试导出抽水孔至边界距离的计算公式以及有关的应用方法。  相似文献   

9.
指出承压含水层盖层的弯曲变形与开采井周围的径向地下水运动存在相互作用, 而这一效应在传统的井流理论中没有被认识到.通过引入弹性薄板理论, 建立了无越流的承压含水层井流-顶板弯曲效应的解析模型, 同时考虑了含水层和水的压缩性, 结果表明Theis井流方程给出的抽水降深偏小.在此基础上推导了有越流承压含水层井流-盖层弯曲效应的偏微分方程, 求出了解析解, 并与传统理论的结果进行了对比, 表明Hantush-Jacob公式计算的降深也是偏小的.在抽水井附近和抽水初期, 传统理论可能导致显著的相对误差.   相似文献   

10.
旭升  陈崇希 《地球科学》2002,27(2):199-202
传统承压含水层井流理论都假定承压水层顶面总应力不变,其隐含的意义是忽略含水层顶板的刚度,从而忽略了顶板弯曲对含水层释水的影响。指出考虑顶板弯曲时,抽水井周围承压含水层顶部的总应力将减小,从而产生比传统理论估计更大的地下水降深,并结合弹性板理论对Theis井流模型作出了改进,新模型的解析解证明Theis模型计算的地下水龙头降深偏低。  相似文献   

11.
在抽水条件下水位随空间和时间变化的预测,依赖于潜水层的透水率和给水度的准确测定。如何利用抽水试验资料求这两种参数也是一个关键。这种相辅相成的关系是有效地开发利用地下水资源的前提。  相似文献   

12.
A mathematical model describing the constant pumping is developed for a partially penetrating well in a heterogeneous aquifer system. The Laplace‐domain solution for the model is derived by applying the Laplace transforms with respect to time and the finite Fourier cosine transforms with respect to vertical co‐ordinates. This solution is used to produce the curves of dimensionless drawdown versus dimensionless time to investigate the influences of the patch zone and well partial penetration on the drawdown distributions. The results show that the dimensionless drawdown depends on the hydraulic properties of the patch and formation zones. The effect of a partially penetrating well on the drawdown with a negative patch zone is larger than that with a positive patch zone. For a single‐zone aquifer case, neglecting the effect of a well radius will give significant error in estimating dimensionless drawdown, especially when dimensionless distance is small. The dimensionless drawdown curves for cases with and without considering the well radius approach the Hantush equation (Advances in Hydroscience. Academic Press: New York, 1964) at large time and/or large distance away from a test well. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献   

13.
In this study, non-Darcian flow to a larger-diameter partially penetrating well in a confined aquifer was investigated. The flow in the horizontal direction was assumed to be non-Darcian and described by the Izbash equation, and the flow in the vertical direction was assumed to be Darcian. A linearization procedure was used to approximate the nonlinear governing equation. The Laplace transform associated with the finite cosine Fourier transform was used to solve such non-Darcian flow model. Both the drawdowns inside the well and in the aquifer were analyzed under different conditions. The results indicated that the drawdowns inside the well were generally the same at early times under different conditions, and the features of the drawdowns inside the well at late times were similar to those of the drawdowns in the aquifer. The drawdown in the aquifer for the non-Darcian flow case was larger at early times and smaller at late times than their counterparts of Darcian flow case. The drawdowns for a partially penetrating well were the same as those of a fully penetrating well at early times, and were larger than those for a fully penetrating well at late times. A longer well screen resulted in a smaller drawdown in the aquifer at late times. A larger power index n in the Izbash equation resulted in a larger drawdown in the aquifer at early times and led to a smaller drawdown in the aquifer at late times. A larger well radius led to a smaller drawdown at early times, but it had little impact on the drawdown at late times. The wellbore storage effect disappears earlier when n is larger.  相似文献   

14.
33 large-diameter wells embedded in 2-m thick, 63-m deep diaphragm walls were constructed to reduce both the uplift pressures and the groundwater inflow during the excavations. As the actual thickness of the pumped aquifer is unknown, the installed wells are regarded as partial penetration wells. Single-well and multi-well pumping tests were conducted in the deep gravel formation of Taipei Basin to derive the hydraulic parameters and to investigate the drawdown characteristics at both the construction and remote sites. However, the tidal effect on the drawdown of both the pumping well and nearby observation wells was found significant. Additionally, wellbore storage, skin, and leakage need to be taken into account for deriving the hydraulic parameters. Hence, a method to remove these five factors influencing the drawdown curve is developed, which takes advantage from the late-time characteristics of drawdown data and the early-time behavior of drawdown. Some currently available semi-log graphic techniques are therefore proven applicable for parameter determination. Validity of the proposed method is verified by the good agreement between the calculated and the measured drawdown of both the pumping well and observation well.  相似文献   

15.
This paper proposes a simplified analytical solution considering non-Darcian and wellbore storage effect to investigate the pumping flow in a confined aquifer with barrier and recharge boundaries. The mathematical modelling for the pumping-induced flow in aquifers with different boundaries is developed by employing image-well theory with the superposition principle, of which the non-Darcian effect is characterized by Izbash’s equation. The solutions are derived by Boltzmann and dimensionless transformations. Then, the non-Darcian effect and wellbore storage are especially investigated according to the proposed solution. The results show that the aquifer boundaries have non-negligible effects on pumping, and ignoring the wellbore storage can lead to an over-estimation of the drawdown in the first 10 minutes of pumping. The higher the degree of non-Darcian, the smaller the drawdown.  相似文献   

16.
Non-Darcian flow to a well in a leaky aquifer was investigated using a finite difference method. Flow in the leaky aquifer is assumed to be non-Darcian and horizontal, while flow in the aquitard is assumed to be Darcian and vertical. The Forchheimer equation was employed to describe the non-Darcian flow in the aquifer. The finite difference solution was compared with the solution of Birpinar and Sen (2004). The latter overestimates the drawdown at early times and underestimates the drawdown at late times; also, the impact of β D on the drawdown depends on the value of B D, where β D is a dimensionless turbulent factor in the Forchheimer equation and B D is the dimensionless leakage parameter. The impact of leakage on drawdown is similar to that of Darcian flow. A sensitivity analysis indicated that the drawdown is very sensitive to the change in the dimensionless well radius r cD when B D is relatively large, while it is sensitive to the change in B D when B D is relatively small. The numerical solution has been applied to analyze the pumping test data in Chaj-Doab area of Pakistan. Birpinar ME, Sen Z (2004) Forchheimer groundwater flow law type curves for leaky aquifers. J Hydrol Eng 9(1):51??9  相似文献   

17.
This study investigated non‐Darcian flow to a well in a leaky aquifer considering wellbore storage and a finite‐thickness skin. The non‐Darcian flow is described by the Izbash equation. We have used a linearization procedure associated with the Laplace transform to solve such a non‐Darcian flow model. Besides, the Stehfest method has been used to invert the Laplace domain solutions for the drawdowns. We further analyzed the drawdowns inside the well for different cases. The results indicated that a smaller BD results in a smaller drawdown at late times and the leakage has little effect on the drawdown inside the well at early times, where BD is a dimensionless parameter reflecting the leakage. We have also found that the flow for the negative skin case approaches the steady‐state earlier than that for the positive skin. In addition, the drawdown inside the well with a positive skin is larger than that without skin effect at late times, and a larger thickness of the skin results in a greater drawdown inside the well at late times for the positive skin case. A reverse result has been found for the negative skin case. Finally, we have developed a finite‐difference solution for such a non‐Darcian flow model and compared the numerical solution with the approximate analytical solution. It has been shown that the linearization procedure works very well for such a non‐Darcian flow model at late times, and it underestimates the drawdowns at early times. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

18.
Influence radius of a pumping well is a crucial parameter for hydrogeologists and engineers. Knowing the radius of influence for a designed drawdown enables one to calculate the pumping rate required to layout a project foundation that may need lowering of groundwater level to a certain depth due to dewatering operation. In addition, this is important for hydrogeologists to determine ground water contamination flow paths and contributing recharge area for domestic water supply and aquifer management purposes. Empirical formulas that usually neglect vital parameters to determine the influence radius accurately have been traditionally utilized due to lack of adequate methods. In this study, a physically based method, which incorporates aquifer hydraulic gradient for determining the influence radius of a pumping well in steady-state flow condition, was developed. It utilizes Darcy and Dupuit laws to calculate the influence radius, where Darcy's law and Dupuit equation, in steady-state condition, represent the inflow and the outflow of the pumping well, respectively. In an untraditional manner, this method can be also used to determine aquifer hydraulic conductivity as an alternative to other pumping test methods with high degree of accuracy. The developed method is easy to use; where a simple mathematical calculator may be used to calculate the influence radius and the pumping rate or hydraulic conductivity. By comparing the results from this method with the MODFLOW numerical model outputs with different simulated scenarios, it is realized that this method is much superior and more advantageous than other commonly used empirical methods.  相似文献   

19.
Large diameter fully cased wells that gain water from the bottom are often dug in sandy and collapsible aquifers. They have cylindrical vertical walls lined with brick or concrete. The well bottom is partially filled with aquifer material through which the flow is vertically upward. When the vertical hydraulic gradient reaches a critical value, quicksand occurs and the well structure can be destroyed. Another difficulty encountered is drawdown in the wellbore and the drying up of the well. To overcome these problems, the flow around and beneath these wells is numerically simulated. The simulation results are used to investigate the effect of well and aquifer parameters on quicksand and drawdown. For practical purposes, the dimensionless drawdown-time and dimensionless vertical gradient-time curves are developed. It was found that the ratio of filling material thickness to well radius affects the shape of these type curves. The type curves may be used to predict the time after pumping commences when quicksand occurs and the well dries up. They are also useful to design the safe pumping rate and duration as well as the optimum well radius. These are demonstrated by analyzing the pumping test data from a case study in the arid Chah Kutah region, southern Iran.  相似文献   

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