1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models

Satya Prakash Maurya; Nagendra Pratap Singh; Ashish Kumar Tiwari

doi:doi:10.11648/j.earth.20190805.14

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1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models

Satya Prakash Maurya, Nagendra Pratap Singh, Ashish Kumar Tiwari

Published in Earth Sciences (Volume 8, Issue 5)

Received: 14 September 2019 Accepted: 15 October 2019 Published: 25 October 2019

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Abstract

The present research describes a 1D inversion scheme for interpretation of large loop TEM data acquired using offset loop configuration due to a large loop source, over the layered earth models. The inversion is based on a non-linear least square method that generates a smooth layered earth model by minimizing the residual misfit function in an iterative process. It produces an inverted model from the data using the criteria of minimization of misfit function and/or convergence of residual in two successive iterations. The forward problem is formulated in frequency domain, and then it is transformed into the time domain using Fourier cosine and sine transform. The accuracy and robustness of algorithm is tested by inverting the large loop TEM data acquired using offset loop configurations over the homogeneous, two layer, three layer and four layer earth models, with or without the addition of random noises. Inverted results are in good accordance with the theoretical models and validate that different parameters are recovered with high accuracy. The program works satisfactorily with noisy data and produces inverted results with acceptable accuracy for synthetic data up to 5% random noises.

Published in	Earth Sciences (Volume 8, Issue 5)
DOI	10.11648/j.earth.20190805.14
Page(s)	285-293
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Large Loop TEM Methods, Layer Earth Model, Offset Loop Configuration, Inverse Modeling

References

[1]	Eaton PA, Gerald WH (1989), A rapid inversion technique for transient electromagnetic soundings. Physics of the Earth and Planetary Interiors, 53 (3-4), 384-404.
[2]	Fraser DC, (1978), Resistivity mapping with an airborne multi-coil electromagnetic system. Geophysics 43 (1): 144-172.
[3]	Macnae, J, Andrew, K, Ned S, Alex O, Andrej B, (1998), Fast AEM data processing and inversion. Exploration Geophysics, 29 (1/2), 163-169.
[4]	Árnason, K., Eysteinsson, H. and Hersir, G. P., 2010. Joint 1D inversion of TEM and MT data and 3D inversion of MT data in the Hengill area, SW Iceland. Geothermics, 39 (1), 13-34.
[5]	Buselli, G, Barber, C, Davis GB Salama RB, (1990), Detection of groundwater contamination near waste disposal sites with transient electromagnetic and electrical methods. Geotechnical and Environmental Geophysics, 2, 27-39.
[6]	Hoekstra, P, Mark WB, (1990), Case histories of time-domain electromagnetic soundings in environmental geophysics. Geotechnical and Environmental Geophysics, 2, 1-15.
[7]	Hoversten, GM and Morrison, HF, (1982), Transient fields of a current loop source above a layered earth. Geophysics, 47 (7), 1068-1077.
[8]	Kaufman AA, (1979), Harmonic and transient fields on the surface of a two-layer medium. Geophysics, 44 (7), 1208-1217.
[9]	Lee, T, Lewis, R, (1974), Transient EM response of a large loop on a layered ground. Geophysical Prospecting, 22 (3), 430-444.
[10]	Liu, G, Michael, A, (1993), Conductance-depth imaging of airborne TEM data. Exploration Geophysics, 24 (3/4), 655-662.
[11]	Morrison, HF, Phillips, RJ, Obrien, DP, (1969), Quantitative interpretation of transient electromagnetic fields over a layered half space. Geophysical Prospecting, 17 (1), 82-101.
[12]	Nabighian, MN, (1979), Quasi-static transient response of a conducting half-space - An approximate representation. Geophysics, 44 (10), 1700-1705.
[13]	Nabighian, MN, (1991), Electromagnetic Methods in Applied Geophysics, Volume 2, Parts A and B, Application. Society of Exploration Geophysicists, Tulsa, Oklahoma, (A) pp. 1-520, (B) pp. 521-992.
[14]	Newman, GA, Walter, LA, Gerald, WH, (1987), Interpretation of transient electromagnetic soundings over three-dimensional structures for the central-loop configuration. Geophysical Journal International, 89 (3), 889-914.
[15]	Rai, SS, Sharma, GS, (1986), In-loop pulse EM response of a stratified earth. Geophysical Prospecting, 34 (2), 232-239.
[16]	Singh, NP, Mogi, T, (2003), EMLCLLERA program for computing the EM response of a large loop source over a layered earth model. Computers & Geosciences, 29 (10), 1301-1307.
[17]	Singh, NP, Mitsuru, U, Tsuneomi, K (2009), TEM response of a large loop source over a homogeneous earth model: A generalized expression for arbitrary source-receiver offsets. Pure and Applied Geophysics, 166 (12), 2037-2058.
[18]	Smith, RS, West, GF, (1988), An explanation of abnormal TEM responses: coincident-loop negatives, and the loop effect. Exploration Geophysics 19 (3): 435-446.
[19]	Smith, RS, West, GF, (1989), Field examples of negative coincident-loop transient electromagnetic responses modeled with polarizable half-planes. Geophysics, 54 (11), 1491-1498.
[20]	Spies, BR, Raiche, AP, (1980), Calculation of apparent conductivity for the transient electromagnetic (coincident loop) method using an HP-67 calculator. Geophysics, 45 (7), 1197-1204.
[21]	Verma, RK, Mallick, K, (1979), Detectability of intermediate conductive and resistive layers by time domain electromagnetic sounding. Geophysics, 44 (11), 1862-1878.
[22]	Andersen, KK., Kirkegaard, C, Foged, N, Christiansen, AV, Auken, E, (2016), Artificial neural networks for removal of couplings in airborne transient electromagnetic data. Geophysical Prospecting, 64 (9), 741–752.
[23]	Knight, JH, Raiche, AP, (1982), Transient electromagnetic calculations using the Gaver-Stehfest inverse Laplace transform method. Geophysics, 47 (1), 47-50.
[24]	Zhang, Z, Xiao, J, (2001), Inversions of surface and borehole data from large-loop transient electromagnetic system over a 1-D earth. Geophysics, 66, 1090-1096.
[25]	Zhdanov, MS, Dmitriy, AP, Robert, GE, (2002), Localized S-inversion of time-domain electromagnetic data. Geophysics, 67 (4), 1115-1125.
[26]	Xue, GQ, Yan, YJ, Li, X, Di, QY, (2007), Transient electromagnetic S-inversion in tunnel prediction. Geophysical Research Letters, 34 (18), doi: 10.1029/2007GL031080.
[27]	Coles, DA, Morgan, FD, (2009), A method of fast, sequential experimental design for linearized geophysical inverse problems. Geophysical Journal International, 178 (1), 145-158.
[28]	Jia, R, Davis, LJ, Groom, RW, (2009), Some issues on 1d-TEM inversion utilizing various multiple data strategies. SEG Technical Program, Expanded Abstracts, pp. 739-743.
[29]	Xue, GQ, Yan, YJ, Cheng, JL, (2011), Researches on detection of 3-D underground cave based on TEM technique. Environmental Earth Sciences, 64 (2), 425-430.
[30]	Guillemoteau, J, Sailhac, P, Behaegel, M, (2011), Regularization strategy for the layered inversion of airborne TEM data: application to VTEM data acquired over the basin of Franceville (Gabon). Geophysical Prospecting, 59 (6), 1132-1143.
[31]	Xue, G, Bai C, Li, X, (2012) Extracting the virtual reflected wavelet from TEM data based on regularizing method. Pure and Applied Geophysics, 169 (7), 1269-1282.
[32]	Kolaj, M, Smith, R, (2014a), Conductance estimates from spatial and temporal derivatives of borehole electromagnetic data. SEG Technical Program, Expanded Abstracts, pp. 1764-1769.
[33]	Kolaj, M, Smith, R, (2014b), Robust conductance estimates from spatial and temporal derivatives of borehole electromagnetic data. Geophysics, 79 (3), E115-E123.
[34]	Guillemoteau, J, Sailhac, P, (2014), Inversion of ground constant offset loop-loop electromagnetic data for a large range of induction numbers. Geophysics, 80 (1), E11-E21. DOI: 10.1190/geo2014-0005.1.
[35]	Auken, E, Christiansen, AV, Fiandaca, G, Schamper, C, Behroozmand, AA, Binley, A, Nielsen, E, Effersø, F, Christensen, NB, Sørensen, KI, Foged, N, Vignoli, G, (2015), An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data. Exploration Geophysics, 46, 223-235.
[36]	Yogi, IBS, Widodo, (2017), Central loop time domain electromagnetic inversion based on Born approximation and Levenberg-Marquardt algorithm, IOP Conf. Ser.: Earth and Environmental Science, 62, 12-29. doi: 10.1088/1755-1315/62/1/012029.
[37]	Anderson, WL, (1982), Nonlinear least-squares inversion of transient soundings for a central induction loop system (Program NLSTCI). US Geological Survey, Open-File Report, OFR, pp. 82-1129. https://pubs.usgs.gov/of/1982/1129/report.pdf.
[38]	Ward, SH, Hohmann, GW, (1988), Electromagnetic theory for geophysical applications. In: Electromagnetic Methods in Applied Geophysics, Volume 1- Theory, (ed. M. N. Nabighian), pp 131-311, Society of Exploration Geophysicists, Tulsa, Oklahoma. doi.org/10.1190/1.9781560802631.ch4.
[39]	Nekut, AG, (1987), Direct inversion of time-domain electromagnetic data. Geophysics, 52 (10), 1431-1435.
[40]	Dennis, J, Gay, D, Welsch, R, (1981). An adaptive non-linear least square algorithm. ACM Transaction on Mathematical Software, 7 (3), 348-368.
[41]	Fullagar, PK, 1989, Generation of conductivity-depth pseudo-sections from coincident loop and in-loop TEM data. Exploration Geophysics, 20 (2), pp. 43-45.
[42]	Singh, NP, Mogi, T, (2005), Electromagnetic response of a large circular loop source on a layered earth: A new computation method. Pure and Applied Geophysics, 162 (1), 181-200.

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Satya Prakash Maurya, Nagendra Pratap Singh, Ashish Kumar Tiwari. (2019). 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sciences, 8(5), 285-293. https://doi.org/10.11648/j.earth.20190805.14

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ACS Style

Satya Prakash Maurya; Nagendra Pratap Singh; Ashish Kumar Tiwari. 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sci. 2019, 8(5), 285-293. doi: 10.11648/j.earth.20190805.14

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AMA Style

Satya Prakash Maurya, Nagendra Pratap Singh, Ashish Kumar Tiwari. 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sci. 2019;8(5):285-293. doi: 10.11648/j.earth.20190805.14

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@article{10.11648/j.earth.20190805.14,
  author = {Satya Prakash Maurya and Nagendra Pratap Singh and Ashish Kumar Tiwari},
  title = {1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models},
  journal = {Earth Sciences},
  volume = {8},
  number = {5},
  pages = {285-293},
  doi = {10.11648/j.earth.20190805.14},
  url = {https://doi.org/10.11648/j.earth.20190805.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20190805.14},
  abstract = {The present research describes a 1D inversion scheme for interpretation of large loop TEM data acquired using offset loop configuration due to a large loop source, over the layered earth models. The inversion is based on a non-linear least square method that generates a smooth layered earth model by minimizing the residual misfit function in an iterative process. It produces an inverted model from the data using the criteria of minimization of misfit function and/or convergence of residual in two successive iterations. The forward problem is formulated in frequency domain, and then it is transformed into the time domain using Fourier cosine and sine transform. The accuracy and robustness of algorithm is tested by inverting the large loop TEM data acquired using offset loop configurations over the homogeneous, two layer, three layer and four layer earth models, with or without the addition of random noises. Inverted results are in good accordance with the theoretical models and validate that different parameters are recovered with high accuracy. The program works satisfactorily with noisy data and produces inverted results with acceptable accuracy for synthetic data up to 5% random noises.},
 year = {2019}
}

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TY  - JOUR
T1  - 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models
AU  - Satya Prakash Maurya
AU  - Nagendra Pratap Singh
AU  - Ashish Kumar Tiwari
Y1  - 2019/10/25
PY  - 2019
N1  - https://doi.org/10.11648/j.earth.20190805.14
DO  - 10.11648/j.earth.20190805.14
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 285
EP  - 293
PB  - Science Publishing Group
SN  - 2328-5982
UR  - https://doi.org/10.11648/j.earth.20190805.14
AB  - The present research describes a 1D inversion scheme for interpretation of large loop TEM data acquired using offset loop configuration due to a large loop source, over the layered earth models. The inversion is based on a non-linear least square method that generates a smooth layered earth model by minimizing the residual misfit function in an iterative process. It produces an inverted model from the data using the criteria of minimization of misfit function and/or convergence of residual in two successive iterations. The forward problem is formulated in frequency domain, and then it is transformed into the time domain using Fourier cosine and sine transform. The accuracy and robustness of algorithm is tested by inverting the large loop TEM data acquired using offset loop configurations over the homogeneous, two layer, three layer and four layer earth models, with or without the addition of random noises. Inverted results are in good accordance with the theoretical models and validate that different parameters are recovered with high accuracy. The program works satisfactorily with noisy data and produces inverted results with acceptable accuracy for synthetic data up to 5% random noises.
VL  - 8
IS  - 5
ER  -

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Author Information

Satya Prakash Maurya

Department of Geophysics, Institute of Science, Banaras Hindu University, Varanasi, (U. P), India
Nagendra Pratap Singh

Department of Geophysics, Institute of Science, Banaras Hindu University, Varanasi, (U. P), India
Ashish Kumar Tiwari

Department of Geophysics, Institute of Science, Banaras Hindu University, Varanasi, (U. P), India

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Plain Text BibTeX RIS

APA Style

Satya Prakash Maurya, Nagendra Pratap Singh, Ashish Kumar Tiwari. (2019). 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sciences, 8(5), 285-293. https://doi.org/10.11648/j.earth.20190805.14

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ACS Style

Satya Prakash Maurya; Nagendra Pratap Singh; Ashish Kumar Tiwari. 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sci. 2019, 8(5), 285-293. doi: 10.11648/j.earth.20190805.14

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AMA Style

Satya Prakash Maurya, Nagendra Pratap Singh, Ashish Kumar Tiwari. 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models. Earth Sci. 2019;8(5):285-293. doi: 10.11648/j.earth.20190805.14

Copy | Download

@article{10.11648/j.earth.20190805.14,
  author = {Satya Prakash Maurya and Nagendra Pratap Singh and Ashish Kumar Tiwari},
  title = {1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models},
  journal = {Earth Sciences},
  volume = {8},
  number = {5},
  pages = {285-293},
  doi = {10.11648/j.earth.20190805.14},
  url = {https://doi.org/10.11648/j.earth.20190805.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20190805.14},
  abstract = {The present research describes a 1D inversion scheme for interpretation of large loop TEM data acquired using offset loop configuration due to a large loop source, over the layered earth models. The inversion is based on a non-linear least square method that generates a smooth layered earth model by minimizing the residual misfit function in an iterative process. It produces an inverted model from the data using the criteria of minimization of misfit function and/or convergence of residual in two successive iterations. The forward problem is formulated in frequency domain, and then it is transformed into the time domain using Fourier cosine and sine transform. The accuracy and robustness of algorithm is tested by inverting the large loop TEM data acquired using offset loop configurations over the homogeneous, two layer, three layer and four layer earth models, with or without the addition of random noises. Inverted results are in good accordance with the theoretical models and validate that different parameters are recovered with high accuracy. The program works satisfactorily with noisy data and produces inverted results with acceptable accuracy for synthetic data up to 5% random noises.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - 1D Inversion of Large Loop Transient Electromagnetic Data Acquired Using Offset Loop Configuration Over Multi-layer Earth Models
AU  - Satya Prakash Maurya
AU  - Nagendra Pratap Singh
AU  - Ashish Kumar Tiwari
Y1  - 2019/10/25
PY  - 2019
N1  - https://doi.org/10.11648/j.earth.20190805.14
DO  - 10.11648/j.earth.20190805.14
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 285
EP  - 293
PB  - Science Publishing Group
SN  - 2328-5982
UR  - https://doi.org/10.11648/j.earth.20190805.14
AB  - The present research describes a 1D inversion scheme for interpretation of large loop TEM data acquired using offset loop configuration due to a large loop source, over the layered earth models. The inversion is based on a non-linear least square method that generates a smooth layered earth model by minimizing the residual misfit function in an iterative process. It produces an inverted model from the data using the criteria of minimization of misfit function and/or convergence of residual in two successive iterations. The forward problem is formulated in frequency domain, and then it is transformed into the time domain using Fourier cosine and sine transform. The accuracy and robustness of algorithm is tested by inverting the large loop TEM data acquired using offset loop configurations over the homogeneous, two layer, three layer and four layer earth models, with or without the addition of random noises. Inverted results are in good accordance with the theoretical models and validate that different parameters are recovered with high accuracy. The program works satisfactorily with noisy data and produces inverted results with acceptable accuracy for synthetic data up to 5% random noises.
VL  - 8
IS  - 5
ER  -

Copy | Download