Calibration, Conversion, and Quantitative Multi-Layer Inversion of Multi-Coil Rigid-Boom Electromagnetic Induction Data

Multi-coil electromagnetic induction (EMI) systems induce magnetic fields below and above the subsurface. The resulting magnetic field is measured at multiple coils increasingly separated from the transmitter in a rigid boom. This field relates to the subsurface apparent electrical conductivity (σa), and σa represents an average value for the depth range investigated with a specific coil separation and orientation. Multi-coil EMI data can be inverted to obtain layered bulk electrical conductivity models. However, above-ground stationary influences alter the signal and the inversion results can be unreliable. This study proposes an improved data processing chain, including EMI data calibration, conversion, and inversion. For the calibration of σa, three direct current resistivity techniques are compared: Electrical resistivity tomography with Dipole-Dipole and Schlumberger electrode arrays and vertical electrical soundings. All three methods obtained robust calibration results. The Dipole-Dipole-based calibration proved stable upon testing on different soil types. To further improve accuracy, we propose a non-linear exact EMI conversion to convert the magnetic field to σa. The complete processing workflow provides accurate and quantitative EMI data and the inversions reliable estimates of the intrinsic electrical conductivities. This improves the ability to combine EMI with, e.g., remote sensing, and the use of EMI for monitoring purposes.

[1]  H. Vereecken,et al.  Feasibility of Sequential and Coupled Inversion of Time Domain Reflectometry Data to Infer Soil Hydraulic Parameters under Falling Head Infiltration , 2011 .

[2]  Norman Wagner,et al.  Ultra-broad-band electrical spectroscopy of soils and sediments—a combined permittivity and conductivity model , 2017 .

[3]  S. Sorooshian,et al.  Shuffled complex evolution approach for effective and efficient global minimization , 1993 .

[4]  A. S. Eve APPLIED GEOPHYSICS. , 1928, Science.

[5]  Lutz Weihermüller,et al.  Linking satellite derived LAI patterns with subsoil heterogeneity using large-scale ground-based electromagnetic induction measurements , 2015 .

[6]  Application of " Dipole-dipole " Electromagnetic Systems for Geological Depth Sounding Introduction , 2022 .

[7]  Patricia Martinelli,et al.  Laterally filtered 1D inversions of small-loop, frequency-domain EMI data from a chemical waste site , 2008 .

[8]  R. Barker Depth of investigation of collinear symmetrical four-electrode arrays , 1989 .

[9]  Jean Charles Munch,et al.  Land use and sustainability: FAM Research Network on Agroecosystems , 2002 .

[10]  W. R. Whalley,et al.  Methods to estimate changes in soil water for phenotyping root activity in the field , 2017, Plant and Soil.

[11]  S. Sorooshian,et al.  Effective and efficient global optimization for conceptual rainfall‐runoff models , 1992 .

[12]  Jan Vanderborght,et al.  Electromagnetic induction calibration using apparent electrical conductivity modelling based on electrical resistivity tomography , 2010 .

[13]  J. D. Mcneill Use of Electromagnetic Methods for Groundwater Studies , 1990 .

[14]  Bruce D. Smith,et al.  Calibration and filtering strategies for frequency domain electromagnetic data , 2010 .

[15]  Julien Thiesson,et al.  Calibration of frequency-domain electromagnetic devices used in near-surface surveying , 2014 .

[16]  Lutz Weihermüller,et al.  Effect of fertilizers and irrigation on multi‐configuration electromagnetic induction measurements , 2019, Soil Use and Management.

[17]  Susan S. Hubbard,et al.  The emergence of hydrogeophysics for improved understanding of subsurface processes over multiple scales , 2015, Water resources research.

[18]  Fayçal Rejiba,et al.  Multiconfiguration electromagnetic induction survey for paleochannel internal structure imaging: a case study in the alluvial plain of the River Seine, France , 2017 .

[19]  D. Corwin,et al.  Apparent soil electrical conductivity measurements in agriculture , 2005 .

[20]  Jan Bumberger,et al.  Linking Remote Sensing and Geodiversity and Their Traits Relevant to Biodiversity - Part I: Soil Characteristics , 2019, Remote. Sens..

[21]  F. J. Pierce,et al.  Relating apparent electrical conductivity to soil properties across the north-central USA , 2005 .

[22]  Ty P. A. Ferré,et al.  Three-dimensional sensitivity distribution and sample volume of low-induction-number electromagnetic-induction instruments , 2012 .

[23]  M. Loke Electrical Imaging Surveys for Environmental and Engineering Studies , 2022 .

[24]  Johan Alexander Huisman,et al.  Three‐dimensional imaging of subsurface structural patterns using quantitative large‐scale multiconfiguration electromagnetic induction data , 2014 .

[25]  H. Vereecken,et al.  Large-scale soil mapping using multi-configuration EMI and supervised image classification , 2019, Geoderma.

[26]  Michał Stefaniuk,et al.  The application of electrical resistivity tomography (ERT), induced polarization (IP) and electromagnetic conductivity (EMC) methods for the evaluation of technical condition of flood embankment corpus , 2016 .

[27]  E. Brevik,et al.  The use of electromagnetic induction techniques in soils studies , 2014 .

[28]  Michel Dabas,et al.  Characterization of buried cables and pipes using electromagnetic induction loop-loop frequency-domain devices , 2018 .

[29]  L. Slater Near Surface Electrical Characterization of Hydraulic Conductivity: From Petrophysical Properties to Aquifer Geometries—A Review , 2007 .

[30]  J. D. Mcneill Electromagnetic Terrain Conduc-tivity Measurement at Low Induction Numbers , 1980 .

[31]  George V. Keller,et al.  Electrical Methods in Geophysical Prospecting , 1981 .

[32]  Dennis L. Corwin,et al.  Evaluating Oilseed Biofuel Production Feasibility in California’s San Joaquin Valley Using Geophysical and Remote Sensing Techniques , 2017, Sensors.

[33]  Johan Alexander Huisman,et al.  Mapping the spatial variation of soil water content at the field scale with different ground penetrating radar techniques , 2007 .

[34]  David Beamish,et al.  Low induction number, ground conductivity meters: A correction procedure in the absence of magnetic effects , 2011 .

[35]  L. B. Slichter The Interpretation of the Resistivity Prospecting Method for Horizontal Structures , 1933 .

[36]  Frank Ewert,et al.  Quantifying the effects of soil variability on crop growth using apparent soil electrical conductivity measurements , 2015 .

[37]  O. Koefoed,et al.  a Fast Method for Determining the Layer Distribution from the Raised Kernel Function in Geoelegtrical SOUNDING , 1970 .

[38]  Fayçal Rejiba,et al.  Geometrical characterization of urban fill by integrating the multi‐receiver electromagnetic induction method and electrical resistivity tomography: A case study in Poitiers, France , 2019, European Journal of Soil Science.

[39]  Egon Zimmermann,et al.  Development and drift-analysis of a modular electromagnetic induction system for shallow ground conductivity measurements , 2014 .

[40]  Philippe De Smedt,et al.  Improving the reliability of soil EC-mapping: Robust apparent electrical conductivity (rECa) estimation in ground-based frequency domain electromagnetics , 2019, Geoderma.

[41]  Patrick Rademske,et al.  Understanding Soil and Plant Interaction by Combining Ground‐Based Quantitative Electromagnetic Induction and Airborne Hyperspectral Data , 2018, Geophysical Research Letters.

[42]  Victor F. Labson,et al.  10. Electromagnetic Induction Methods for Environmental Problems , 2005 .

[43]  Harry Vereecken,et al.  Quantitative Two‐Layer Conductivity Inversion of Multi‐Configuration Electromagnetic Induction Measurements , 2011 .

[44]  Pascal Sailhac,et al.  Inversion of ground constant offset loop-loop electromagnetic data for a large range of induction numbers , 2015 .

[45]  Jens Tronicke,et al.  1D sequential inversion of portable multi-configuration electromagnetic induction data , 2016 .

[46]  Urs Schmidhalter,et al.  The Application of EM38: Determination of Soil Parameters, Selection of Soil Sampling Points and Use in Agriculture and Archaeology , 2017, Sensors.

[47]  Urs Schmidhalter,et al.  Theory and Guidelines for the Application of the Geophysical Sensor EM38 , 2019, Sensors.

[48]  Kenneth A. Sudduth,et al.  Comparison of electromagnetic induction and direct sensing of soil electrical conductivity , 2003 .

[49]  James R. Wait Mutual coupling of loops lying on the ground , 1954 .

[50]  Jan Vanderborght,et al.  Monitoring and Modeling the Terrestrial System from Pores to Catchments: The Transregional Collaborative Research Center on Patterns in the Soil–Vegetation–Atmosphere System , 2015 .

[51]  Peter Shanahan,et al.  The Use of Electromagnetic Induction to Monitor Changes in Soil Moisture Profiles beneath Different Wheat Genotypes , 2015 .

[52]  James R. Wait,et al.  Mutual Electromagnetic Coupling of Loops Over a Homogeneous Ground , 1955 .

[53]  Steen Christensen,et al.  A direct comparison of EMI data and borehole data on a 1000 ha data set , 2017 .

[54]  A. Apparao,et al.  Depth Of Investigation In Direct Current Methods , 1971 .

[55]  F. A. Monteiro Santos,et al.  Modeling the electrical conductivity of hydrogeological strata using joint-inversion of loop-loop electromagnetic data , 2012 .

[56]  Philippe De Smedt,et al.  Exploring the potential of multi-receiver EMI survey for geoarchaeological prospection: A 90 ha dataset , 2013 .

[57]  J. Hummelb,et al.  On-the-go soil sensors for precision agriculture , 2004 .

[58]  Harrie-Jan Hendricks Franssen,et al.  High resolution modelling of soil moisture patterns with TerrSysMP: A comparison with sensor network data , 2017 .

[59]  Mark S. Seyfried,et al.  Geophysical imaging of watershed subsurface patterns and prediction of soil texture and water holding capacity , 2008 .

[60]  Roger Guérin,et al.  Interpretation of slingram conductivity mapping in near-surface geophysics: using a single parameter fitting with 1D model1 , 1996 .

[61]  Susan S. Hubbard,et al.  Electrical Conductivity Imaging of Active Layer and Permafrost in an Arctic Ecosystem, through Advanced Inversion of Electromagnetic Induction Data , 2013 .

[62]  Harry Vereecken,et al.  Electromagnetic induction antenna modelling using a linear system of complex antenna transfer functions , 2012 .

[63]  I. J. Won,et al.  Conductivity and Susceptibility Mapping Using Broadband Electromagnetic Sensors , 2000 .

[64]  Michel Dabas,et al.  Comparison of instruments for geoelectrical soil mapping at the field scale , 2009 .

[65]  John Triantafilis,et al.  A spatially constrained 1D inversion algorithm for quasi-3D conductivity imaging: Application to DUALEM-421 data collected in a riverine plain , 2011 .

[66]  A. Roy,et al.  Depth of investigation in wenner, three-electrode and dipole-dipole DC resistivity methods , 1972 .

[67]  Jan M. H. Hendrickx,et al.  Inversion of Soil Conductivity Profiles from Electromagnetic Induction Measurements , 2002 .

[68]  Chris Houser,et al.  Differentiating tidal and groundwater dynamics from barrier island framework geology: Testing the utility of portable multifrequency electromagnetic induction profilers , 2016 .

[69]  V. Gaur,et al.  Straightforward inversion of vertical electrical sounding data , 1997 .

[70]  Harry Vereecken,et al.  Simultaneous calibration and inversion algorithm for multiconfiguration electromagnetic induction data acquired at multiple elevations , 2019, GEOPHYSICS.

[71]  S. Sorooshian,et al.  A Shuffled Complex Evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters , 2002 .

[72]  R. Knight,et al.  Soil Moisture Measurement for Ecological and Hydrological Watershed‐Scale Observatories: A Review , 2008 .

[73]  Y. L. Ekinci,et al.  A Damped Least-Squares Inversion Program for the Interpretation of Schlumberger Sounding Curves , 2008 .

[74]  Roland Baatz,et al.  The TERENO‐Rur Hydrological Observatory: A Multiscale Multi‐Compartment Research Platform for the Advancement of Hydrological Science , 2018 .

[75]  Thomas Kalscheuer,et al.  A glimpse beneath Antarctic sea ice: Platelet layer volume from multifrequency electromagnetic induction sounding , 2016 .

[76]  Peter Dietrich,et al.  Acquisition and reliability of geophysical data in soil science. , 2010 .

[77]  Philippe De Smedt,et al.  Identifying Soil Patterns at Different Spatial Scales with a Multi‐Receiver EMI Sensor , 2013 .

[78]  P. M. van den Berg,et al.  An apparent‐resistivity concept for low‐frequency electromagnetic sounding techniques , 2000 .