Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty

Abstract Understanding subsurface heterogeneity is crucial to predicting groundwater flow pathways, mixing, and other processes in aquifers and other fluid reservoirs. Despite significant effort developing geophysical tools to understand this heterogeneity, geophysical mapping of aquifer flow parame...

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Main Authors: Jeremy R. Patterson, Michael Cardiff
Format: Article
Language:English
Published: Wiley 2025-05-01
Series:Water Resources Research
Subjects:
Online Access:https://doi.org/10.1029/2024WR039606
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author Jeremy R. Patterson
Michael Cardiff
author_facet Jeremy R. Patterson
Michael Cardiff
author_sort Jeremy R. Patterson
collection DOAJ
description Abstract Understanding subsurface heterogeneity is crucial to predicting groundwater flow pathways, mixing, and other processes in aquifers and other fluid reservoirs. Despite significant effort developing geophysical tools to understand this heterogeneity, geophysical mapping of aquifer flow parameters—transmissivity (T), and storativity (S)—remains challenging due to both uncertainty in petrophysical relationships and resolution/data coverage issues. A more direct approach to mapping heterogeneity over a range of scales is by inducing aquifer flow at various scales and analyzing spatially distributed pressure responses, so‐called Hydraulic Tomography (HT). Oscillatory Hydraulic Tomography (OHT) is a recently‐developed variant of HT that takes advantage of signal processing routines and fast computational models to reduce data noise impacts and enable high‐performance tomography workflows. Laboratory and field studies have demonstrated that OHT tests performed at multiple frequencies appear to improve aquifer imaging results; however, a rigorous analysis of data content, resolution and uncertainty in OHT workflows has not been performed to‐date. This work assesses the resolution and uncertainty in single‐ and multi‐frequency OHT testing through numerical experiments and three separate approaches to assessing tomographic resolution: singular value decomposition, geophysical “checkerboard” tests, and stochastic imaging experiments. Contrary to results in some prior published work, all three approaches verify the ability of OHT to image aquifer parameters at resolutions of roughly 12 inter‐well spacing distances, and similarly demonstrate the added information provided by multi‐frequency data.
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spelling doaj-art-8c19be5f7ab84d44be277e310c8055f82025-08-20T03:22:20ZengWileyWater Resources Research0043-13971944-79732025-05-01615n/an/a10.1029/2024WR039606Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces UncertaintyJeremy R. Patterson0Michael Cardiff1Department of Earth and Ocean Sciences University of North Carolina‐Wilmington Wilmington NC USADepartment of Geosciences University of Wisconsin‐Madison Madison WI USAAbstract Understanding subsurface heterogeneity is crucial to predicting groundwater flow pathways, mixing, and other processes in aquifers and other fluid reservoirs. Despite significant effort developing geophysical tools to understand this heterogeneity, geophysical mapping of aquifer flow parameters—transmissivity (T), and storativity (S)—remains challenging due to both uncertainty in petrophysical relationships and resolution/data coverage issues. A more direct approach to mapping heterogeneity over a range of scales is by inducing aquifer flow at various scales and analyzing spatially distributed pressure responses, so‐called Hydraulic Tomography (HT). Oscillatory Hydraulic Tomography (OHT) is a recently‐developed variant of HT that takes advantage of signal processing routines and fast computational models to reduce data noise impacts and enable high‐performance tomography workflows. Laboratory and field studies have demonstrated that OHT tests performed at multiple frequencies appear to improve aquifer imaging results; however, a rigorous analysis of data content, resolution and uncertainty in OHT workflows has not been performed to‐date. This work assesses the resolution and uncertainty in single‐ and multi‐frequency OHT testing through numerical experiments and three separate approaches to assessing tomographic resolution: singular value decomposition, geophysical “checkerboard” tests, and stochastic imaging experiments. Contrary to results in some prior published work, all three approaches verify the ability of OHT to image aquifer parameters at resolutions of roughly 12 inter‐well spacing distances, and similarly demonstrate the added information provided by multi‐frequency data.https://doi.org/10.1029/2024WR039606oscillatory flow testingmulti‐frequencytomographyresolutionuncertaintyaquifer characterization
spellingShingle Jeremy R. Patterson
Michael Cardiff
Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
Water Resources Research
oscillatory flow testing
multi‐frequency
tomography
resolution
uncertainty
aquifer characterization
title Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
title_full Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
title_fullStr Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
title_full_unstemmed Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
title_short Multi‐Frequency Oscillatory Hydraulic Tomography Improves Heterogeneity Imaging and Resolution and Reduces Uncertainty
title_sort multi frequency oscillatory hydraulic tomography improves heterogeneity imaging and resolution and reduces uncertainty
topic oscillatory flow testing
multi‐frequency
tomography
resolution
uncertainty
aquifer characterization
url https://doi.org/10.1029/2024WR039606
work_keys_str_mv AT jeremyrpatterson multifrequencyoscillatoryhydraulictomographyimprovesheterogeneityimagingandresolutionandreducesuncertainty
AT michaelcardiff multifrequencyoscillatoryhydraulictomographyimprovesheterogeneityimagingandresolutionandreducesuncertainty