Automated optimization of electrode locations for electrical resistivity tomography

Athanasiou EN, Tsourlos PI, Papazachos CB, Tsokas GN (2006) Optimizing resistivity array configurations by using a non-homogeneous background model. In: Proceedings, 12th Annual Meeting EAGE-Near Surface Geophysics, Helsinki, Finland Athanasiou EN, Tsourlos PI, Papazachos CB, Tsokas GN (2009) Optimizing electrical resistivity array configurations by using a method based on the sensitivity matrix. In: Proceedings, 15th Annual Meeting EAGE-Near Surface Geophysics, Dublin, Ireland Barker RD (1981) The offset system of electrical resistivity sounding and its use with a multicore cable. Geophys Prospect 29(1):128–143 Cardarelli E, Fischanger F (2006) 2D data modeling by electrical resistivity tomography for complex subsurface geology. Geophys Prospect 54(2):121–133 Cherkaeva E, Tripp AC (1996) Optimal survey design using focused resistivity arrays. IEEE Trans Geosci Remote Sens 34(2):358–366 Coggon JH (1971) Electromagnetic and electrical modeling by the finite element method. Geophysics 36(1):132–155 Colton D, Kress R (1992) Inverse acoustic and electromagnetic scattering theory, volume 93 of Applied Mathematical Sciences. Springer, Berlin Dahlin T (1993) On the automation of 2D resistivity surveying for engineering and environmental applications. PhD thesis, Lund University Dahlin T (1996) 2D resistivity surveying for environmental and engineering applications. First Break 14(7): 275–283 Dahlin T (2001) The development of DC resistivity imaging techniques. Comput Geosci 27(9):1019–1029 Dahlin T, Bernstone C (1997) A roll-along technique for 3D resistivity data acquisition with multi-electrode arrays. In: Proceedings of the Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP), Reno, Nevada Dahlin T, Loke MH (1998) Resolution of 2D Wenner imaging as assessed by numerical modeling. J Appl Geophys 38(4):237–249 Dahlin T, Zhou B (2002) Gradient and mid-point-referred measurements for multi-channel 2D resistivity imaging. In: Proceedings, 8th Meeting Environmental and Engineering Geophysics, Aveiro, Portugal Dey A, Morrison HF (1979) Resistivity modeling for arbitrarily shaped two-dimensional structures. Geophys Prospect 27(1):106–136 Engl HW, Hanke M, Neubauer A (1996) Regularization of inverse problems, volume 375 of Mathematics and its Applications. Kluwer Academic Publishers Group, Dordrecht Fernandez-Martinez JL, Fernandez-Alvarez JP, Garcia-Gonzalo ME, Perez COM, Kuzma HA, (2008) Particle Swarm Optimization (PSO): a simple and powerful algorithm for geophysical inversion. Society of Exploration Geophysicists (SEG) Expanded Abstracts Furman A, Ferre TPA, Warrick AW (2003) A sensitivity analysis of electrical resistivity tomography array types using analytical element modeling. Vadose Zone J 2(3):416–423 Furman A, Ferre TPA, Warrick AW (2004) Optimization of ERT surveys for monitoring transient hydrological events using perturbation sensitivity and genetic algorithms. Vadose Zone J 3(4):1230–1239 Furman A, Ferre TPA, Heath GL (2007) Spatial focusing of electrical resistivity surveys considering geologic and hydrologic layering. Geophysics 72(2):F65–F73 Gautam PK, Biswas A (2016) 2D geo-electrical imaging for shallow depth investigation in Doon Valley Sub-Himalaya, Uttarakhand, India. Model Earth Syst Environ 2:175 Ghosh DP (1971) The application of linear filter theory to the direct interpretation of geoelectrical resistivity sounding measurements. Geophys Prospect 19(2):192–217 Gordon R, Herman GT, Johnson SA (1975) Image reconstruction from projections. Sci Am 233(4):56–68 Griffiths D, Turnbull J (1985) A multi-electrode array for resistivity surveying. First Break 3(7):16–20 Griffiths D, Turnbull J, Olayinka AI (1990) Two-dimensional resistivity mapping with a computer-controlled array. First Break 8(4):121–129 Groetsch CW (2007) Integral equations of the first kind, inverse problems and regularization: a crash course. J Phys Conf Ser. Inverse Probl Appl Sci-Towar Breakthr 73:1–32 Henderson RP, Webster JG, Swanson DK (1976) A thoracic electrical impedance camera. In: Proceedings of the 29th Annual Conference on Engineering in Medicine and Biology, Boston, Massachusetts Hennig T, Weller A (2005) Two dimensional object orientated focusing of geoelectrical multielectrode measurements. In: Proceedings, 11th Annual Meeting EAGE-Environmental and Engineering Geophysics, Palermo, Sicily Hennig T, Weller A, Moller M (2008) Object orientated focussing of geoelectrical multielectrode measurements. J Appl Geophys 65:57–64 Inman JR (1975) Resistivity inversion with ridge regression. Geophysics 40(5):798–817 Isaacson D (1986) Distinguishability of conductivities by electric current computed tomography. IEEE Trans Med Imaging 5(2):91–95 Keller GV, Frischknecht FC (1966) Electrical methods in geophysical prospecting, volume 10 of International Series of Monographs on Electro-magnetic Waves. Pergamon Press, New York Kirsch A (1996) An introduction to the mathematical theory of inverse problems. Applied Mathematical Sciences. Springer, Berlin Kress R (1999) Linear integral equations, volume 82 of Applied Mathematical Sciences. Springer, New York LaBrecque D, Miletto M, Daily W, Ramirez A, Owen E (1996) The effects of noise on Occam’s inversion of resistivity tomography data. Geophysics 61(2):538–548 Loke MH, Barker RD (1995) Least-squares deconvolution of apparent resistivity pseudosections. Geophysics 60(6):1682–1690 Loke MH, Barker RD (1996) Rapid least-squares inversion of apparent resistivity pseudo-sections by a quasi-Newton method. Geophys Prospect 44(1):131–152 Loke MH, Wilkinson PB (2009) Rapid parallel computation of optimized arrays for electrical imaging surveys. In: Proceedings, 15th Annual Meeting EAGE-Near Surface Geophysics, Dublin, Ireland Loke MH, Acworth I, Dahlin T (2003) A comparison of smooth and blocky inversion methods in 2D resistivity imaging surveys. Explor Geophys 34:182–187 Loke MH, Alfouzan FA, Nawawi NM (2007) Optimisation of electrode arrays used in 2D resistivity imaging surveys. In: Extended Abstracts, 19th ASEG Geophysical Conference and Exhibition, Australia Lytle RJ, Dines KA (1978) An impedance camera: a system for determining the spatial variation of electrical conductivity. Technical Report UCRL-52413, Lawrence Livermore National Laboratory Mufti IR (1976) Finite-difference resistivity modeling for arbitrarily shaped two-dimensional structures. Geophysics 41(1):62–78 Olagunju E, Ariyibi E, Awoyemi M, Adebayo A, Dasho O, Adenika C (2017) Application of geochemical and geophysical approach to environmental impact assessment: a case study of Emirin active open dumpsite, Ado-Ekiti Southwestern Nigeria. Model Earth Syst Environ. https://doi.org/10.1007/s40808-017-0381-1 Oldenburg DW, Li Y (1994) Inversion of induced polarization data. Geophysics 59(9):1327–1341 Pelton WH, Rijo L, Swift CM (1978) Inversion of two-dimensional resistivity and induced-polarization data. Geophysics 43(4):788–803 Plonsey R, Fleming D (1969) Bioelectric Phenomena. McGraw-Hill Inc, New York Pridmore DF, Hohmann GW, Ward SH, Sill WR (1981) An investigation of finite-element modeling for electrical and electromagnetic data in three dimensions. Geophysics 46(7):1009–1024 Sasaki Y (1992) Resolution of resistivity tomography inferred from numerical simulation. Geophys Prospect 40(4):453–463 Smith NC, Vozof K (1984) Two-dimensional DC resistivity inversion for dipole-dipole data. IEEE Trans Geosci Remote Sens GE 22(1):21–28 Stummer P, Maurer H, Green AG (2004) Experimental design: electrical resistivity data sets that provide optimum subsurface information. Geophysics 69(1):120–139 Swindell W, Barrett (1977) Computerized tomography: taking sectional X-rays. Phys Today 30(12):32–41 Telford WM, Geldart LP, Sheriff RE (1990) Applied geophysics. Cambridge University Press, Cambridge Tong L, Yang C (1990) Incorporation of topography into two-dimensional resistivity inversion. Geophysics 55(3):354–361 Tripp AC, Hohmann GW, Swift CM (1984) Two-dimensional resistivity inversion. Geophysics 49(10):1708–1717 Udosen NI, George NJ (2018) A finite integration forward solver and a domain search inverse solver for electrical resistivity tomography. Model Earth Syst Environ 4:1–12 Van Nostrand RG, Cook KL (1966) Intepretation of resistivity data. Geological survey professional paper 499, US Geological Survey Van Overmeeren RA, Ritsema IL (1988) Continuous vertical electrical sounding. First Break 6(10):313–324 Weiland T (1977) A discretization method for the solution of Maxwell’s equations for six-component fields. Electron Commun AEU 31(3):116–120 Weiland T (1985) On the unique numerical solution of Maxwellian eigenvalue problems in three dimensions. Part Accel 17:227–245 Wilkinson PB, Kuras O, Meldrum PI, Chambers JE, Ogilvy RD (2006a) Comparison of the spatial resolution of standard and optimised electrical resistivity tomography arrays. In: Proceedings of the 12th meeting of the EAGE Near Surface Geophysics Conference, Helsinki, Finland Wilkinson PB, Meldrum PI, Chambers JE, Kuras O, Ogilvy RD (2006b) Improved strategies for the automatic selection of optimized sets of electrical resistivity tomography measurement configurations. Geophys J Int 167(7):1119–1126 Wilkinson PB, Ogilvy RD, Chambers JE, Meldrum PI, Kuras O (2007) Array optimisation for multi-channel electrical resistivity tomography instruments. In: Proceedings, 13th Annual Meeting EAGE-Near Surface Geophysics, Istanbul, Turkey Wilkinson PB, Meldrum PI, Chambers JE, Kuras O, Ogilvy RD (2009) Optimised survey design for geoelectrical resistivity tomography. In: Short Abstracts, 10th International Conference on Biomedical Applications of Electrical Impedance Tomography (EIT 2009), Manchester, United Kingdom