Estimation of Storativity from Recovery Data

Ballukraya, P. N.; Sharma, K. K.

doi:10.1111/j.1745-6584.1991.tb00540.x

Cited by 23 publications

(14 citation statements)

References 4 publications

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“…T = 4.970 × 10 -2 using the Theis recovery method and S = 0.07 using WPRS (1981) approach. Ballukraya & Sharma (1991) obtained T = 4.970 × 10 -2 (using the Theis recovery method) and S = 5.76 × 10 -2 . Two sets of estimates for Dataset 2, one set for the two parameters (T and S) and the other for the three parameters (T, S and α) are compared in Table 3.…”

Section: Application and Discussionmentioning

confidence: 99%

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Identification of aquifer parameters from residual drawdowns: an optimization approach

Singh

2006

Hydrological Sciences Journal

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An optimization method based on nonlinear least squares is proposed for the identification of aquifer transmissivity and two storage coefficients, one for the pumping phase and the other for the recovery phase, using only residual drawdowns at an observation well. The method is applicable irrespective of whether pumping and recovery storage coefficients are the same or are different and the argument of well function during recovery is less than or greater than 0.01. The method can check for the changed value of storage coefficient during the recovery phase and can quantify this change. Use of the method is illustrated through examples, which show that the parameters are estimated reliably.Key words aquifer; drawdown; pumping test; optimization; parameter estimation; storage coefficient; transmissivity Identification de paramètres d'aquifère à partir de rabattements résiduels: une approche d'optimisationRésumé Une méthode d'optimisation basée sur les moindres carrés non-linéaires est proposée pour identifier la transmissivité de l'aquifère ainsi que deux coefficients de stockage, l'un pour la phase de pompage et l'autre pour la phase de relaxation, en n'utilisant que les rabattements résiduels au niveau d'un puits d'observation. La méthode est applicable que les coefficients de stockage en phases de pompage et de relaxation soient identiques ou différents, et que l'argument de la fonction de puits pendant la relaxation soit inférieur ou supérieur à 0.01. La méthode peut tenir compte de la modification de la valeur du coefficient de stockage lors de la phase de relaxation et peut quantifier cette modification. L'utilisation de cette méthode est illustrée par des exemples qui montrent que les paramètres sont estimés de manière satisfaisante. [-] u′ argument of well function during recovery [-] u i argument of well function during pumping for ith residual drawdown [-] u i ′ argument of well function during recovery for ith residual drawdown [-] α S′/S [-] Mots clefs

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Section: Application and Discussionmentioning

confidence: 99%

“…WPRS, 1981), or if the last pumping drawdown is known and is considered a part of residual drawdowns (e.g. Kashef, 1986;Ballukraya & Sharma, 1991). All these methods assume that the arguments of the well function are small (<0.01) during both pumping and recovery phases.…”

Section: Introductionmentioning

confidence: 99%

Identification of aquifer parameters from residual drawdowns: an optimization approach

Singh

2006

Hydrological Sciences Journal

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“…The same set of data has been analysed by other authors including Ballukaraya and Sharma (1991), Singh (1999), Chenaf and Chapuis (2002), Singh (2003), Zheng et al (2005) and Singh (2006). The residual drawdowns were measured in an observation well located 30 .…”

Section: Case Studymentioning

confidence: 99%

“…The drawdowns measured in an observation well during pumping are commonly used to estimate the aquifer parameters such as storage coefficient and transmissivity (Ballukaraya and Sharma, 1991;Todd, 1980). Residual drawdowns, which are routinely measured during pumping tests are sometimes considered to be more reliable in the estimation of aquifer parameters (Singh, 2006).…”

Section: Introductionmentioning

confidence: 99%

Estimation of aquifer parameters from residual drawdowns

Kambhammettu¹,

King²

2010

Proceedings of the Institution of Civil Engineers - Water Manag

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Reliable and accurate estimation of aquifer parameters is a key process in efficiently managing the groundwater resources of a region. Today, a number of stochastic optimisation tools are available to solve the non-linear aquifer parameters using gradient-based techniques. However, these tools use conventional stabilisation techniques in estimating the non-linear parameters. In the present study, an attempt was made to accelerate and stabilise the conventional Levenberg-Marquardt algorithm. A generalised Matlab code was developed to estimate the transmissivity and storage coefficient of the confined aquifer by considering the residual drawdowns measured in a single observation well. The applicability of the present method was illustrated by considering two datasets from different sources and the results were compared with previous research. Statistical analysis on the estimated parameters demonstrated that the present method can estimate the confined aquifer parameters accurately with a more rapid convergence in comparison with the conventional algorithms. NOTATION i index for residual drawdown N number of observed residual drawdowns Q constant flow rate from pumping well (m 3 /s) r radial distance to observation well from pumping well (m) S storage coefficient of the confined aquifer s9 obs measured residual drawdown in observation well (m) s9 th theoretical residual drawdown at observation well (m) T transmissivity of the confined aquifer (m 2 /s) t time since beginning of pumping (s) t9time since shutdown of pumping (s) t p duration of pumping (s) W(u) well function during pumping phase W(u9) well function during recovery phase º non-negative damping factor

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“…Boonstra (1989) developed a computer program names SATEM for the determination of aquifer parameters in consolidated aquifers. In order to run the program some limiting conditions are there to be satisfied:  Discharge should not be less than 100m 3 /day  Minimum pumping hour should be 8 hours This program is only applicable to tube wells.…”

Section: Drawdown and Recuperation Patternmentioning

confidence: 99%

A Review on Drawdown and Recuperation Pattern

2017

IJAPSA

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Drawdown and recuperation pattern of wells are much dependent on the aquifer parameters. Analysis of drawdown and recuperation pattern of wells is necessary for the determination of various aquifer parameters. The levels at which water stands in a well before pumping is called static water level. When a well is being pumped, the water level in the well lowers. In general case initial contribution of water from the well mostly comes from the well storage. It is only after sometime that the aquifer starts contributing to pumpage. The time gap between the onset of pumping and the beginning of an appreciable flow of water from the aquifer to the well depends mainly on the transmissivity of the aquifer. The linear relationship between drawdown and time implies that the water is pumped mostly from storage. Thus time drawdown curves were initially linear, but later with the beginning of the contribution from the aquifer; they gradually become non-linear.

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Estimation of Storativity from Recovery Data

Cited by 23 publications

References 4 publications

Identification of aquifer parameters from residual drawdowns: an optimization approach

Identification of aquifer parameters from residual drawdowns: an optimization approach

Estimation of aquifer parameters from residual drawdowns

A Review on Drawdown and Recuperation Pattern

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