Geophysical Monitoring of Initiated In-Situ Bioremediation of Chlorinated Solvent Contamination

Nivorlis, Aristeidis; Dahlin, Torleif; Rossi, Marta Maria

doi:10.3997/2214-4609.201902386

Cited by 2 publications

(1 citation statement)

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“…Flores Orozco et al, 2015, Flores Orozco et al, 2019, Nivorlis et al, 2019. These applications require a robust and accurate spectral inversion scheme, which is able to handle large datasets from 3D surveys with thousands of quadrupole measurements within a reasonable computation time and with reasonable memory usage.…”

Section: Introductionmentioning

confidence: 99%

3-D time-domain spectral inversion of resistivity and full-decay induced polarization data—full solution of Poisson's equation and modelling of the current waveform

Madsen

Fiandaca

Auken

2020

Geophysical Journal International

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Summary We present a new algorithm for 3D forward modelling and spectral inversion of resistivity and time-domain full-decay induced polarization (IP) data. To our knowledge, all algorithms available for handling 3D spectral inversion of full-decay IP data use a time-domain approximation to Poisson's equation in the forward response. To avoid this approximation, we compute the response in the frequency domain solving the full version of Poisson's equation for a range of frequencies (${10^{ - 8}}$-${10^4}$ Hz) and then transform the response into the time domain, where we account for the transmitted current waveform. Solving Poisson's equation in 3D is computationally expensive and in order to balance accuracy, time, and memory usage we introduce the following: 1) We use two separate meshes for the forward response and the model update, respectively. The forward mesh is an unstructured tetrahedral mesh allowing for local refinements whereas the model (inversion) mesh is a node-based structured mesh, where roughness constraints are easily implemented. By decoupling the two meshes, they can be tuned for optimizing the forward accuracy and the inversion resolution, independently. 2) A singularity removal method known from resistivity modelling has been adapted to the complex IP case and is applied to minimize the numerical errors caused by the fast changing potential close to the source electrodes. The method includes splitting the potential field into a primary part (response of a homogenous background) and a secondary part (from the anomalies). Two different forward meshes are then used to compute the forward response: a dense mesh for the primary potential field (only computed once for each frequency) and a coarser mesh for the secondary potential field (computed in each iteration step of the inversion). With this method, the singularity is minimized and the memory usages is decreased significantly at the same time. 3) Finally, we are sparsing (down-sampling) the Jacobian matrix based on a threshold value of the normalized sensitivity. The Jacobian computation is performed by time-transforming the frequency-domain Jacobian obtained through the adjoint method. The Jacobian down-sampling is carried out before the time-transform in the frequency domain, thus avoiding the time-transformation of the Jacobian elements with negligible sensitivity. We invert resistivity data and all IP time-gates simultaneously and use the Gauss-Newton model update to minimize the L2 misfit function. We invert the resistivity data and all IP time-gates simultaneously and use the Gauss-Newton model update to minimize the L2 misfit function. We demonstrate the performance of our inversion approach with a synthetic data example with 3D anomalies and a field example, where lithology logs verify the results. The datasets contain 1256 quadrupole measurements with 33 IP time-gates each. The inversions results show good data fits and model retrieval. The inversion takes approximately one hour per iteration using four CPUs. With this speed and accuracy, we believe this modelling and inversion approach will be a strong tool for 3D spectral inversion of resistivity and full-decay IP field data for both surface and borehole applications.

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Section: Introductionmentioning

confidence: 99%

3-D time-domain spectral inversion of resistivity and full-decay induced polarization data—full solution of Poisson's equation and modelling of the current waveform

Madsen

Fiandaca

Auken

2020

Geophysical Journal International

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Analysis of Response Characteristics in Borehole Electrical Resistivity Surveys and Their Applications

Cho,

Song,

Kim

et al. 2023

J. Korean Soc. Miner. Energy Resour. Eng.

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The direct current electrical resistivity survey or electrical resistivity tomography (ERT) is a geophysical exploration technique employed in various fields, including mineral exploration, environmental studies, and subsurface safety assessments. ERT, primarily conducted at the surface, can also be conducted between adjacent boreholes to yield high-resolution subsurface images at greater depths. Compared to surface exploration methods, cross-hole ERT employs distinct electrode configurations with varying sensitivities, making it crucial to consider these differences in electrode configuration or measurement environment conditions. This study elucidates electrode configurations and subsequently analyzes the characteristics of cross-hole ERT data for each electrode configuration. Following this, we explore the peculiarities stemming from borehole ERT data. We also describe distortions in ERT data caused by survey geometry and provide an examination of potential solutions to mitigate these distortions. Additionally, we introduce several case studies involving borehole ERTs.

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Geophysical Monitoring of Initiated In-Situ Bioremediation of Chlorinated Solvent Contamination

Cited by 2 publications

References 0 publications

3-D time-domain spectral inversion of resistivity and full-decay induced polarization data—full solution of Poisson's equation and modelling of the current waveform

3-D time-domain spectral inversion of resistivity and full-decay induced polarization data—full solution of Poisson's equation and modelling of the current waveform

Analysis of Response Characteristics in Borehole Electrical Resistivity Surveys and Their Applications

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