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Equivalent Hydraulic Conductivity of Heterogeneous Aquifers Estimated by Multi-Frequency Oscillatory Pumping

Avinoam Rabinovich / David Guy

Aquifers are a vital part of our water cycle and modeling groundwater flow is paramount for a number of environmental applications. Modeling requires the estimation of aquifer properties, which is mostly achieved by field pumping tests. Oscillatory pumping tests involve repeated pumping and injection of aquifer water, which generates a periodic head signal. We investigate the estimation of equivalent hydraulic conductivity ( $K_{e q}$ ) in an oscillatory pumping test with a multi-frequency excitation. Synthetic head data are generated from numerical simulations of pumping in heterogeneous aquifers and an inverse method is applied to estimate $K_{e q}$ . The method involves a Fast Fourier Transform (FFT) analysis for obtaining the spatial distribution of head amplitude and then matching the amplitudes using a semi-analytical solution of a homogeneous aquifer with conductivity $K_{e q}$ . We investigate the dependence of $K_{e q}$ on pumping frequency in view of the previous literature, which has found increasing values for higher frequencies. We did not find this increase in $K_{e q}$ with frequency and minor variations which were observed appear to be a result of numerical error. The result implies that oscillatory pumping field tests can be used for $K_{e q}$ estimation without any corrections for frequency dependence.

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Equivalent Hydraulic Conductivity of Heterogeneous Aquifers Estimated by Multi-Frequency Oscillatory Pumping

Avinoam Rabinovich / David Guy

Aquifers are a vital part of our water cycle and modeling groundwater flow is paramount for a number of environmental applications. Modeling requires the estimation of aquifer properties, which is mostly achieved by field pumping tests. Oscillatory pumping tests involve repeated pumping and injection of aquifer water, which generates a periodic head signal. We investigate the estimation of equivalent hydraulic conductivity ( $K_{e q}$ ) in an oscillatory pumping test with a multi-frequency excitation. Synthetic head data are generated from numerical simulations of pumping in heterogeneous aquifers and an inverse method is applied to estimate $K_{e q}$ . The method involves a Fast Fourier Transform (FFT) analysis for obtaining the spatial distribution of head amplitude and then matching the amplitudes using a semi-analytical solution of a homogeneous aquifer with conductivity $K_{e q}$ . We investigate the dependence of $K_{e q}$ on pumping frequency in view of the previous literature, which has found increasing values for higher frequencies. We did not find this increase in $K_{e q}$ with frequency and minor variations which were observed appear to be a result of numerical error. The result implies that oscillatory pumping field tests can be used for $K_{e q}$ estimation without any corrections for frequency dependence.

Equivalent Hydraulic Conductivity of Heterogeneous Aquifers Estimated by Multi-Frequency Oscillatory Pumping

Avinoam Rabinovich / David Guy

Aquifers are a vital part of our water cycle and modeling groundwater flow is paramount for a number of environmental applications. Modeling requires the estimation of aquifer properties, which is mostly achieved by field pumping tests. Oscillatory pumping tests involve repeated pumping and injection of aquifer water, which generates a periodic head signal. We investigate the estimation of equivalent hydraulic conductivity ( $K_{e q}$ ) in an oscillatory pumping test with a multi-frequency excitation. Synthetic head data are generated from numerical simulations of pumping in heterogeneous aquifers and an inverse method is applied to estimate $K_{e q}$ . The method involves a Fast Fourier Transform (FFT) analysis for obtaining the spatial distribution of head amplitude and then matching the amplitudes using a semi-analytical solution of a homogeneous aquifer with conductivity $K_{e q}$ . We investigate the dependence of $K_{e q}$ on pumping frequency in view of the previous literature, which has found increasing values for higher frequencies. We did not find this increase in $K_{e q}$ with frequency and minor variations which were observed appear to be a result of numerical error. The result implies that oscillatory pumping field tests can be used for $K_{e q}$ estimation without any corrections for frequency dependence.

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Title:

Equivalent Hydraulic Conductivity of Heterogeneous Aquifers Estimated by Multi-Frequency Oscillatory Pumping

Contributors:

Avinoam Rabinovich (author) / David Guy (author)

Published in:

Sustainability, Vol 15, Iss 17, p 13124 (2023)

Publication date:

2023

ISSN:

DOI:

https://doi.org/10.3390/su151713124

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

pumping test , oscillatory pumping , periodic pumping , heterogeneous aquifer , equivalent hydraulic conductivity , frequency-dependent effective conductivity , Environmental effects of industries and plants , TD194-195 , Renewable energy sources , TJ807-830 , Environmental sciences , GE1-350

Metadata by DOAJ is licensed under CC BY-SA 1.0

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