NDLI: Analysis of pumping tests of partially penetrating wells in an unconfined aquifer using inverse numerical optimization

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Analysis of pumping tests of partially penetrating wells in an unconfined aquifer using inverse numerical optimization

Content Provider	Springer Nature Link
Author	Hvilshøj, S. Jensen, K. H. Barlebo, H. C. Madsen, B.
Copyright Year	1999
Abstract	Inverse numerical modeling was applied to analyze pumping tests of partially penetrating wells carried out in three wells established in an unconfined aquifer in Vejen, Denmark, where extensive field investigations had previously been carried out, including tracer tests, mini-slug tests, and other hydraulic tests. Drawdown data from multiple piezometers located at various horizontal and vertical distances from the pumping well were included in the optimization. Horizontal and vertical hydraulic conductivities, specific storage, and specific yield were estimated, assuming that the aquifer was either a homogeneous system with vertical anisotropy or composed of two or three layers of different hydraulic properties. In two out of three cases, a more accurate interpretation was obtained for a multi-layer model defined on the basis of lithostratigraphic information obtained from geological descriptions of sediment samples, gammalogs, and flow-meter tests. Analysis of the pumping tests resulted in values for horizontal hydraulic conductivities that are in good accordance with those obtained from slug tests and mini-slug tests. Besides the horizontal hydraulic conductivity, it is possible to determine the vertical hydraulic conductivity, specific yield, and specific storage based on a pumping test of a partially penetrating well. The study demonstrates that pumping tests of partially penetrating wells can be analyzed using inverse numerical models. The model used in the study was a finite-element flow model combined with a non-linear regression model. Such a model can accommodate more geological information and complex boundary conditions, and the parameter-estimation procedure can be formalized to obtain optimum estimates of hydraulic parameters and their standard deviations. Ce papier décrit les origines et la distribution des eaux souterraines salées de la Une modélisation numérique inverse a été mise en oeuvre pour analyser des essais de pompage en puits incomplets, pour trois puits dans un aquifère libre à Vejen (Danemark). Des études de terrain extensives avaient auparavant été réalisées, avec des essais de traçage, des slug tests et d'autres essais hydrauliques. Les données de rabattement provenant de nombreux piézomètres situés à différentes distances horizontales et verticales par rapport au puits de pompage ont été introduites en vue de l'optimisation. Les conductivités hydrauliques horizontales et verticales, l'emmagasinement spécifique et le rendement spécifique ont été estimés en supposant que l'aquifère était un milieu soit homogène avec une anisotropie verticale, soit composé de deux ou trois couches avec des propriétés hydrauliques différentes. Dans deux des trois cas, une interprétation plus approfondie a été réalisée avec un modèle multicouche défini sur la base d'informations lithostratigraphiques provenant de descriptions géologiques d'échantillons de sédiments, de logs gamma et de mesures de vitesse d'écoulement. L'analyse des essais de pompage a fourni des valeurs de conductivité hydraulique horizontale qui sont en accord avec celles obtenues à partir des slug tests et des mini slug tests. En plus de la conductivité hydraulique horizontale, il est possible de déterminer la conductivité hydraulique verticale, le rendement spécifique et l'emmagasinement spécifique à partir d'un essai de pompage sur un puits incomplet. L'étude montre que les essais de pompage sur des puits incomplets peuvent être analysés au moyen de modèles numériques inverses. Le modèle utilisé dans cette étude était un modèle d'écoulement aux éléments finis associéà un modèle régressif non linéaire. Un tel modèle peut accepter plus d'informations géologiques et des conditions aux limites complexes; la procédure d'estimation des paramètres peut être formalisée pour obtenir les estimations optimales des paramètres hydrauliques et leurs écarts types. Se ha aplicado el problema inverso para analizar ensayos de bombeo en tres pozos parcialmente penetrantes localizados en un acuífero libre en Vejen, Dinamarca. En este lugar ya se habían realizado investigaciones previas, incluyendo ensayos de trazadores e hidráulicos. En la optimización se incluyeron datos de descensos medidos a distintas distancias y profundidades. Se estimó la conductividad hidráulica (K) horizontal y vertical, el almacenamiento específico y el caudal específico, bajo tres hipótesis: sistema homogéneo con anisotropía vertical o compuesto por dos o tres capas de diferentes propiedades hidráulicas. En dos de los tres casos se obtuvo una mejor interpretación con un modelo multicapa definido a partir de la información litoestratigráfica. Los valores resultantes para la K horizontal se corresponden con los obtenidos en ensayos slug y mini slug. Este estudio muestra que los ensayos de bombeo en pozos parcialmente penetrantes se pueden interpretar mediante el problema inverso. En este estudio se usó un modelo de flujo en elementos finitos, combinado con un modelo de regresión no lineal. Este modelo permite incluir una mayor información geológica y unas condiciones de contorno complejas. La estimación de parámetros se puede formalizar con el propósito de obtener, además de los estimadores óptimos de los parámetros, sus desviaciones estándar.
Starting Page	365
Ending Page	379
Page Count	15
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	7
Issue Number	4
e-ISSN	14350157
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-10-01
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hydrogeology Geology Waste Water Technology Water Pollution Control Water Management Aquatic Pollution
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

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