Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1016/j.advwatres.2021.104027
Licence creative commons licence
Title (Primary) The extended generalized radial flow model and effective conductivity for truncated power law variograms
Author Müller, S.; Heße, F.; Attinger, S.; Zech, A.
Journal Advances in Water Resources
Year 2021
Department CHS
Volume 156
Page From art. 104027
Language englisch
Topic T5 Future Landscapes
Supplements https://ars.els-cdn.com/content/image/1-s2.0-S0309170821001822-mmc1.pdf
Keywords eGRF; Groundwater; Heterogeneity; Groundwater flow equation; Pumping test
Abstract Pumping tests are established for characterizing spatial average properties of aquifers. At the same time, they are promising tools to identify heterogeneity characteristics such as log-conductivity variance and correlation scales. We present the extended Generalized Radial Flow Model (eGRF) which combines the characterization of well flow in fractal geometry with an upscaled conductivity for pumping tests in heterogeneous media. We show that the eGRF is a generalization of previously solutions, such as that of Barker, Butler and Neuman. We derive effective conductivities for uniform and well flow conditions in heterogeneous log-normal media with a truncated power law correlation structure through the upscaling procedure Coarse Graining. The radial-dependent effective conductivity for well flow reflects the gradual change of heterogeneity impact on average pumping test drawdowns. We then combine upscaled conductivities with the eGRF model to determine the effective pumping test solution. We provide a proof of concept by comparing theoretical upscaling results with Monte Carlo well flow simulations in heterogeneous fractal fields. The eGRF and upscaling results are implemented and made freely available as python code for transport simulation as well as pumping test analysis.
Persistent UFZ Identifier https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=25169
Müller, S., Heße, F., Attinger, S., Zech, A. (2021):
The extended generalized radial flow model and effective conductivity for truncated power law variograms
Adv. Water Resour. 156 , art. 104027