Hydrogeology Journal

, Volume 23, Issue 4, pp 807–818 | Cite as

Evaluation of the effects of the radial constant-head boundary in slug tests

  • Yunfeng Dai
  • Zhifang Zhou
  • Yanrong Zhao
  • Ziteng Cui
Paper
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Abstract

A semianalytical model of slug tests, conducted in a completely penetrating well within a radial constant-head boundary, was derived. The model, based on the Cooper et al. (1967) model, estimates the hydraulic conductivity and storage coefficient through the matching of type curves. Type curves of the semianalytical solution were plotted, and the effect of the distance of the radial constant-head boundary is discussed. For different storage coefficients, the critical distances of the effect of the constant-head boundary were determined. The effect of the storage coefficient on the response of the water head in slug tests with a radial constant-head boundary of a certain distance is also shown. To verify the model, laboratory slug-test experiments were carried out using a cylindrical test platform, in which an artificial confined coarse-sand aquifer was built. Pumping tests were also executed using the test platform. The Cooper et al. (1967) model and new semianalytical model were used to analyze measurements; the hydraulic conductivity and storage coefficient determined using the two methods were compared to demonstrate the importance of the radial constant-head boundary. A model considering the inertial effect was also used to analyze the slug-test measurements, and although the water head response did not oscillate greatly, the inertial effect affected the slug-test calculation result. The laboratory experiments indicate that the proposed semianalytical model is reasonable and reliable. Cooper HH, Bredehoeft JD, Papadopulos IS (1967) Response of a finite-diameter well to an instantaneous charge of water, Water Resour Res 3(1):263–269.

Keywords

Radial constant-head boundary Slug tests Laboratory experiments/measurements Inertial effect Hydraulic properties 

Evaluation des effets de limite radiale à charge

Résumé

Un modeled semi-analytique des essais de type slug-test, conduit dans un puits complètement pénétrant dans un domaine radial limité par des charges constantes, a été développé. Le modeled, basé sur les modèles de Cooper et al. (1967) évalue la conductivité hydraulique et le coefficient d’emmagasinement par calage sur des courbes types. Les courbes types de la solution semi-analytique ont été tracées, et l’effet de la distance à la limite radiale à potentiel constant est discuté. Pour différents coefficients d’emmagasinement, les distances critiques à l’effet de charge constante ont été déterminées. L’effet du coefficient d’emmagasinement sur la réponse de la charge dans des essais de type slug-test avec une limite radiale à charge constante pour une certaine distance est également montré. Pour vérifier le modeled, des expériences de slug tests en laboratoire ont été effectuées en utilisant une plateforme cylindrique d’essai, dans laquelle un aquifère captif artificiel de sable grossier a été mis en place. Des pompages d’essais ont également été réalisés à partir de cette plateforme. Les modèles de Cooper et al. (1967) et le nouveau modeled semi-analytique ont été employés pour analyser les mesures; la conductivité hydraulique et le coefficient d’emmagasinement déterminé en utilisant les deux méthodes ont été comparés pour démontrer l’importance de la limite radiale à charge constante. Un modeled considérant l’effet inertiel a été également employé pour analyser les mesures d’essais de type slug-test, et bien que la réponse de la charge n’ait pas oscillé considérablement, l’effet inertiel a affecté le résultat du calcul. Les expériences de laboratoire indiquent que le modeled semi-analytique proposé est raisonnable et fiable. Cooper HH, Bredehoeft JD, Papadopulos IS (1967) Response of a finite-diameter well to an instantaneous charge of water [Réponse d’un puts de diameter fine à une charge d’etat instantaneity], Water Resour Res 3(1):263–269

Evaluación de los efectos de un límite radial de carga constante en los slug tests

Resumen

Se derive un modulo semianalítico de slug tests, realizado en un pogo totalmente penetrante dentro de un límite radial a carga constante. El modulo, basado en el modulo de Cooper et al. (1967), estima la conductividad y el coeficiente de almacenamiento mediante la coincidencia de curvas tipos. Se plotearon las curvas tipo de la solución semianalítica, y se discute el efecto de la distancia del límite radial a carga constante. Para diferentes coeficientes de almacenamiento se determinaron distancias críticas del efecto del límite de carga constante. También se muestra el efecto del coeficiente de almacenamiento sobre la respuesta de la carga de agua en los slug tests con el límite radial a carga constante a una cierta distancia. Para verificar el modulo, se llevaron a cabo experimentos de laboratorio de slug tests usando una plataforma cilíndrica de prueba, en el cual se construyó un acuífero confinado artificial de arena gruesa. Los ensayos de bombeo también se ejecutaron usando la plataforma de prueba. Se usaron el modulo de Cooper et al. (1967) y el nuevo modulo semianalítico para analizar las mediciones; se compararon la conductividad hidráulica y el coeficiente de almacenamiento determinado usando los dos métodos para demostrar la importancia del límite radial a carga constante. Se usó también un modulo considerando el efecto inercial para analizar las medidas de slug-tests, y aunque la respuesta de la carga de agua no oscila grandemente, el efecto inercial afecta los resultados de los cálculos de slug-test. Los experimentos de laboratorio indican que la propuesta del modulo semianalítico es razonable y confiable. Cooper HH, Bredehoeft JD, Papadopulos IS (1967) Response of a finite-diameter well to an instantaneous charge of water [Respuesta de un pogo de diametric finite a una carga de agua instantaneity], Water Resour Res 3(1):263–269

振荡试验中径向定水头边界影响的评价

摘要

径向定水头边界下完整井内振荡试验半解析模型被推导出。基于Cooper et al. (1967)模型,新模型通过配线法确定水力传导系数和储水系数。绘制出半解析解的典型曲线,讨论了径向定水头边界距离的影响。对不同储水系数,确定了定水头边界影响的临界距离。有限距离的径向定水头边界下展示了储水系数对水头响应的影响。为验证模型,在包含人工承压粗砂含水层的圆柱测试平台内进行了室内振荡试验。在测试平台中也进行了抽水试验。使用Cooper et al. (1967)模型和新的半解析解模型分析实测结果;将两种方法所获得水力传导系数和储水系数结果对比以证明径向定水头边界的重要性。考虑惯性效应的模型也被用来分析振荡试验实测结果,虽然水头响应没有剧烈振荡,但是惯性效应影响振荡试验的计算结果。室内实验证明所提出的半解析模型合理可靠。Cooper HH, Bredehoeft JD, Papadopulos IS (1967) Response of a finite-diameter well to an instantaneous charge of water [有限直径井对瞬时注水的响应], Water Resour Res 3(1):263–269

Avaliação dos efeitos da fronteira de carga constante radial em ensaios instantâneos (slug tests)

Resumo

Foi desenvolvido um modulo semi-analítico para ensaios instantâneos conduzidos num poço totalmente penetrante com uma fronteira de carga constante radial. O modulo, baseado em Cooper et al. (1967), calcula a condutividade hidráulica e o coeficiente de armazenamento através da sobreposição de curvas-tipo. Projetaram-se curvas-tipo da solução semi-analítica e discute-se o efeito da distância da fronteira de carga constante radial. Foram calculadas as distâncias críticas do efeito da fronteira de carga constante radial para diferentes coeficientes de armazenamento. Mostra-se também o efeito do coeficiente de armazenamento na resposta do nível de água em ensaios instantâneos com a fronteira de carga constante radial situada a uma certa distância. Para confirmar o modulo, foram realizados ensaios instantâneos em laboratório utilizando uma plataforma de ensaio cilíndrica na qual foi construído um aquífero confinado artificial em areia grosseira. Foram também realizados ensaios de bombeamento utilizando a plataforma de teste. Foram utilizados os modelos de Cooper et al. (1967) e o novo modulo semi-analítico para analisar as medições; foram comparados a condutividade hidráulica e o coeficiente de armazenamento determinados pelos dois métodos para demonstrar a importância da fronteira de carga constante radial. Foi também utilizado um modulo que considera o efeito de inércia para analisar as medições do ensaio instantâneo e, apesar da resposta do nível de água não ter oscilado muito, o efeito de inércia afetou o resultado do cálculo do ensaio instantâneo. A experiência laboratorial mostra que o modulo semi-analítico é aceitável e confiável. Cooper HH, Bredehoeft JD, Papadopulos IS (1967) Response of a finite-diameter well to an instantaneous charge of water [Resposta de um poço de diâmetro finite a uma carga instantânea de água], Water Resour Res 3(1):263–269.

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Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 41172204), the program for Non-Profit Industry Financial Program of Ministry of Water Resources of China (Grant No. 201301083), and the Fundamental Research Funding of Central Universities (student project; Grant No. 2014B34814). The authors thank the two anonymous reviewers for their helpful review comments.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Yunfeng Dai
    • 1
  • Zhifang Zhou
    • 1
  • Yanrong Zhao
    • 1
  • Ziteng Cui
    • 1
  1. 1.School of Earth Sciences and EngineeringHohai UniversityNanjingChina

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