A compressed sensing based 3D resistivity inversion algorithm for hydrogeological applications

Ranjan, Shashi; Kambhammettu, B.V.N.P.; Peddinti, Srinivasa Rao; Adinarayana, J.

doi:10.1016/j.jappgeo.2018.02.008

Cited by 5 publications

(11 citation statements)

References 57 publications

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“…The surface ERT sections were chosen in such a way that they are easily accessible, and tracer plume is completely captured with a provision to cross‐validate the results at the intersection (Figure ). “MW1” is abutting to ERT‐2 at a chainage of 106 m, whereas, “MW2” is located on ERT‐2 at a chainage of 118 m. Inversion of resistivity data was performed using L1 norm least square regularization algorithm to image the sharp interfaces between geologic layers resulting from tracer movement (Gholami and Siahkoohi ; Ranjan et al ). ERT‐derived resistivity profiles were validated with geophysical logs at the two monitoring well locations ( R 2 = 0.74) and considered to be reliable for tracer interpretation studies.…”

Section: Resultsmentioning

confidence: 99%

“…"MW1" is abutting to ERT-2 at a chainage of 106 m, whereas, "MW2" is located on ERT-2 at a chainage of 118 m. Inversion of resistivity data was performed using NGWA.org V. Sreeparvathy et al Groundwater 57, no. 1: 126-139 L1 norm least square regularization algorithm to image the sharp interfaces between geologic layers resulting from tracer movement (Gholami and Siahkoohi 2010;Ranjan et al 2018). ERT-derived resistivity profiles were validated with geophysical logs at the two monitoring well locations (R 2 = 0.74) and considered to be reliable for tracer interpretation studies.…”

Section: Background Surveymentioning

confidence: 99%

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Application of ERT, Saline Tracer and Numerical Studies to Delineate Preferential Paths in Fractured Granites

Sreeparvathy

Kambhammettu²,

Peddinti

et al. 2018

Groundwater

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Accurate quantification of in situ heterogeneity and flow processes through fractured geologic media remains elusive for hydrogeologists due to the complexity in fracture characterization and its multiscale behavior. In this research, we demonstrated the efficacy of tracer-electrical resistivity tomography (ERT) experiments combined with numerical simulations to characterize heterogeneity and delineate preferential flow paths in a fractured granite aquifer. A series of natural gradient saline tracer experiments were conducted from a depth window of 18 to 22 m in an injection well (IW) located inside the Indian Institute of Technology Hyderabad campus. Tracer migration was monitored in a time-lapse mode using two cross-sectional surface ERT profiles placed in the direction of flow gradient. ERT data quality was improved by considering stacking, reciprocal measurements, resolution indicators, and geophysical logs. Dynamic changes in subsurface electrical properties inferred via resistivity anomalies were used to highlight preferential flow paths of the study area. Temporal changes in electrical resistivity and tracer concentration were monitored along the vertical in an observation well located at 48 m to the east of the IW. ERT-derived tracer breakthrough curves were in agreement with geochemical sample measurements. Fracture geometry and hydraulic properties derived from ERT and pumping tests were further used to evaluate two mathematical conceptualizations that are relevant to fractured aquifers. Results of numerical analysis conclude that dual continuum model that combines matrix and fracture systems through a flow exchange term has outperformed equivalent continuum model in reproducing tracer concentrations at the monitoring wells (evident by a decrease in RMSE from 199 to 65 mg/L). A sensitivity analysis on model simulations conclude that spatial variability in hydraulic conductivity, local-scale dispersion, and flow exchange at fracture-matrix interface have a profound effect on model simulations.

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Section: Resultsmentioning

confidence: 99%

Section: Background Surveymentioning

confidence: 99%

Application of ERT, Saline Tracer and Numerical Studies to Delineate Preferential Paths in Fractured Granites

Sreeparvathy

Kambhammettu²,

Peddinti

et al. 2018

Groundwater

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“…But, body injection configuration usually provides more accurate recovery value compared to the surface configuration [27], [28]. The more detailed description of quasi-static electric field survey, electrode configuration and applications can be found in [10].…”

Section: Theory a Principles Of Quasi-static Electric Field Surveymentioning

confidence: 99%

“…noise in observed data and obtain a smooth reconstructed image [8], [9]. However, numerous studies have illustrated that l 2 -norm regularization technique can smooth the reconstructed image and stabilize the solution resulting in spurious oscillations for blocky objects [10]- [12]. Hence, l 2 -norm regularization technique is unsuitable for recovering anomalous bodies which have clear boundaries between the entity and the background.…”

Section: Introductionmentioning

confidence: 99%

“…To overcome such drawbacks, the l 1 -norm (e.g. the total variation (TV) regularization [13]) acting as the regularization term has been applied in many reconstructions as it reduces the redundancy information and yields a sparse parameter representation which leads to better edge sharpness and fewer image artifacts [10], [14]- [16]. Thus, the better ability of reconstructing sharp changes can improve the recognition of the boundaries and the accuracy of the estimated results [17].…”

Section: Introductionmentioning

confidence: 99%

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Improved Primal–Dual Interior-Point Method Using the Lawson-Norm for Inverse Problems

Shang

Xue

et al. 2020

IEEE Access

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Electrical impedance tomography (EIT), geophysics and undersea target reconstruction are typical non-linear ill-posed inverse problems, and in many cases, the anomalous bodies feature with a clear boundary. Thus, it is suitable to obtain sharp boundaries and blocky features with the Total Variation (TV) functional regularization. However, the TV function regularization leads to a non-differentiable objective function at zero in the inverse formulation and reduces the algorithm robustness. In this paper, we propose an improved primal-dual interior-point method (PD-IPM) based on the Lawson norm to get sharp spatial profiles of the anomalous bodies. Furthermore, the impact of the smooth parameter is investigated to get the inverse results. Numerical experiment using simulated data is setup to support our claim. INDEX TERMS Inverse problems, improved primal-dual interior-point method, Lawson norm.

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Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method

Shang

Xue

et al. 2022

J. Ocean Univ. China

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A compressed sensing based 3D resistivity inversion algorithm for hydrogeological applications

Cited by 5 publications

References 57 publications

Application of ERT, Saline Tracer and Numerical Studies to Delineate Preferential Paths in Fractured Granites

Application of ERT, Saline Tracer and Numerical Studies to Delineate Preferential Paths in Fractured Granites

Improved Primal–Dual Interior-Point Method Using the Lawson-Norm for Inverse Problems

Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method

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