Geometric factor and influence of sensors in the establishment of a resistivity-moisture relation in soil samples

Abstract Prior to field scale research, soil samples are analysed on a laboratory scale for electrical resistivity calibrations. Currently, there are a variety of field instruments to estimate the water content in soils using different physical phenomena. These instruments can be used to develop moisture-resistivity relationships on the same soil samples. This assures that measurements are performed on the same material and under the same conditions (e.g., humidity and temperature). A geometric factor is applied to the location of electrodes, in order to calculate the apparent electrical resistivity of the laboratory test cells. This geometric factor can be determined in three different ways: by means of the use of an analytical approximation, laboratory trials (experimental approximation), or by the analysis of a numerical model. The first case, the analytical approximation, is not appropriate for complex cells or arrays. And both, the experimental and numerical approximation can lead to inaccurate results. Therefore, we propose a novel approach to obtain a compromise solution between both techniques, providing a more precise determination of the geometrical factor.

[1]  P. Côté,et al.  Microstructural Interpretation of Water Content and Dry Density Influence on the DC-Electrical Resistivity of a Fine-Grained Soil , 2011 .

[2]  D. Altman,et al.  STATISTICAL METHODS FOR ASSESSING AGREEMENT BETWEEN TWO METHODS OF CLINICAL MEASUREMENT , 1986, The Lancet.

[3]  Gail Heath,et al.  Spatial focusing of electrical resistivity surveys considering geologic and hydrologic layering , 2007 .

[4]  D. Geselowitz An application of electrocardiographic lead theory to impedance plethysmography. , 1971, IEEE transactions on bio-medical engineering.

[5]  J S Krouwer,et al.  A simple, graphical method to evaluate laboratory assays. , 1995, European journal of clinical chemistry and clinical biochemistry : journal of the Forum of European Clinical Chemistry Societies.

[6]  R. Clement,et al.  How should an electrical resistivity tomography laboratory test cell be designed? Numerical investigation of error on electrical resistivity measurement , 2016 .

[7]  Chang-Geun Cho,et al.  A quantitative analysis of the geometric effects of reinforcement in concrete resistivity measurement above reinforcement , 2015 .

[8]  Douglas G. Altman,et al.  Measurement in Medicine: The Analysis of Method Comparison Studies , 1983 .

[9]  Xavier Derobert,et al.  Development of a multi-ring resistivity cell and multi-electrode resistivity probe for investigation of cover concrete condition , 2013 .

[10]  R. Barker,et al.  Electrical properties of clay in relation to moisture loss , 2010 .

[11]  Sverre Grimnes,et al.  Chapter 6 – GEOMETRICAL ANALYSIS , 2008 .

[12]  M. Loke Tutorial : 2-D and 3-D electrical imaging surveys , 2001 .

[13]  Ty P. A. Ferré,et al.  Optimization of ERT Surveys for Monitoring Transient Hydrological Events Using Perturbation Sensitivity and Genetic Algorithms , 2004 .

[14]  Laura L. Sanders A Manual of Field Hydrogeology , 1998 .

[15]  Stephen K. Park,et al.  Inversion of pole-pole data for 3-D resistivity structure beneath arrays of electrodes , 1991 .

[16]  Klaus Spitzer,et al.  The three‐dimensional DC sensitivity for surface and subsurface sources , 1998 .

[17]  Dietmar Stöckl,et al.  Application of the Bland-Altman plot for interpretation of method-comparison studies: a critical investigation of its practice. , 2002, Clinical chemistry.

[18]  J. Chambers,et al.  Measurement and modelling of moisture—electrical resistivity relationship of fine-grained unsaturated soils and electrical anisotropy , 2016 .

[19]  D. Y. Kim,et al.  Electric imaging and laboratory resistivity testing for geotechnical investigation of Pusan clay deposits , 2003 .

[20]  W. E. Kelly,et al.  Electrical‐Resistivity Measurements For Evaluating Compacted‐Soil Liners , 1994 .

[21]  Jacques Ranger,et al.  The effect of compaction on soil electrical resistivity: a laboratory investigation , 2010 .

[22]  Yuncong C. Li,et al.  Calibration of a combined dielectric probe for soil moisture and porewater salinity measurement in organic and mineral coastal wetland soils , 2011 .

[23]  John A. Dunbar,et al.  Geoelectric Studies of Seasonal Wetting and Drying of a Texas Vertisol , 2007 .

[24]  G. E. Archie The electrical resistivity log as an aid in determining some reservoir characteristics , 1942 .

[25]  Sverre Grimnes,et al.  Sources of error in tetrapolar impedance measurements on biomaterials and other ionic conductors , 2007 .

[26]  D. Altman,et al.  Measuring agreement in method comparison studies , 1999, Statistical methods in medical research.

[27]  Rosemary Knight,et al.  Informed experimental design for electrical resistivity imaging , 2011 .

[28]  S. Simon,et al.  INFLUENCE OF SOIL PROPERTIES ON ELECTRICAL CONDUCTIVITY UNDER HUMID WATER REGIMES , 2001 .

[29]  William John McCarter,et al.  The electrical resistivity characteristics of compacted clays , 1984 .

[30]  A. Beckett,et al.  AKUFO AND IBARAPA. , 1965, Lancet.

[31]  R J Hanks,et al.  INFLUENCE OF WATER CONTENT ON ELECTRICAL CONDUCTIVITY OF THE SOIL , 1972 .

[32]  Rj Kalinski,et al.  Estimating Water Content of Soils from Electrical Resistivity , 1993 .

[33]  J. D. Rhoades,et al.  ESTABLISHING SOIL ELECTRICAL CONDUCTIVITY‐SALINITY CALIBRATIONS USING FOUR‐ELECTRODE CELLS CONTAINING UNDISTURBED SOIL CORES , 1977 .

[34]  F. Almeida,et al.  An experimental study of organic pollutant effects on time domain induced polarization measurements , 2006 .

[35]  Alan P. Byrnes,et al.  Modeling Dielectric-constant values of Geologic Materials: An Aid to Ground-Penetrating Radar Data Collection and Interpretation , 2001 .

[36]  H. Vinegar,et al.  Induced polarization of shaly sands , 1984 .

[37]  V. Rinaldi,et al.  Ohmic Conductivity of a Compacted Silty Clay , 2002 .

[38]  R. Di Maio,et al.  Water storage mapping of pyroclastic covers through electrical resistivity measurements , 2011 .

[39]  R. Di Maio,et al.  A study of the correlation between electrical resistivity and matric suction for unsaturated ash-fall pyroclastic soils in the Campania region (southern Italy) , 2011, Environmental Earth Sciences.

[40]  J. O. Høgetveit,et al.  From 3D tissue data to impedance using Simpleware ScanFE+IP and COMSOL Multiphysics – a tutorial , 2011 .

[41]  Javier Sánchez,et al.  Modification of four point method to measure the concrete electrical resistivity in presence of reinforcing bars , 2014 .

[42]  Arthur W. Warrick,et al.  A Sensitivity Analysis of Electrical Resistivity Tomography Array Types Using Analytical Element Modeling , 2003 .

[43]  Carsten Rücker,et al.  The simulation of finite ERT electrodes using the complete electrode model , 2011 .

[44]  G. Keller,et al.  The Geoelectrical Methods in Geophysical Exploration , 1994 .

[45]  H. Kümpel,et al.  3D FD resistivity modelling and sensitivity analyses applied to a highly resistive phonolitic body , 1997 .

[46]  C. Bouvier,et al.  Monitoring soil water content and deficit using Electrical Resistivity Tomography (ERT) – A case study in the Cevennes area, France , 2010 .