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the simple relation b = μ0 h we can now solve for bz by evaluating the integral and applying an inverse Laplace transform:

      (2.4.13)equation

      (2.4.14)equation

      where,

       σ=1/ρ is the conductivity of the half‐space,

       t is the time window

       erf is the error function

      For t that tend to 0 bz = μ0I/2°. The time derivative, or the impulse response, dbz/dt is found through differentiation to be:

      (2.4.15)equation

      When θ tends to 0, (at late times) the time‐derivative of the magnetic field can be approximated by:

      (2.4.16)equation

      The apparent resistivity ρa is derived from:

      (2.4.17)equation

      (2.4.18)equation

      1 Anderson, W.L. (1989). A hybrid fast Hankel transform algorithm for electromagnetic modelling. Geophysics 54, 263–266.

      2 Auken, E., Westergaard, J.A., Christiansen, A.V., and Sørensen, K.I. (2007). Processing and inversion of SkyTEM data for high resolution hydrogeophysical surveys. ASEG 2007, Perth, Western Australia.

      3 Avdeev, D.B., Kuvshinov, A.V., Pankratov, O.V., and Newman, G.A. (1998). Three‐dimensional frequency‐domain modelling of airborne electromagnetic responses. Exploration Geophysics 29, 111–119.

      4 Beamish, D. (2003). Airborne EM footprints. Geophysical Prospecting 51, 49–60.

      5 Beard, L.P. and Nyquist, J.E. (1998). Simultaneous inversion of airborne electromagnetic data for resistivity and magnetic permeability. Geophysics 63, 1556–1564

      6 Beard, L.P. (2000). Comparison of methods for estimating earth resistivity from airborne electromagnetic measurements. Journal of Applied Geophysics 45, 239–259.

      7 Fountain, D.K., (1998), Airborne Electromagnetic systems – 50 years of development, Expl. Geoph., 29, 1–11.

      8 Huang, H. and Fraser, D.C. (2003). Inversion of helicopter electromagnetic data to a magnetic conductive layered earth. Geophysics 68, 1211–1223.

      9 Macnae, J., King, A., Stolz, N., et al. (1998). Fast AEM data processing and inversion. Exploration Geophysics 29, 163–169.

      10 Nabighian, M.N., (Ed.), (1980). Electromagnetic Methods in Applied Geophysics. Investigation in Geophysics No 2. Volume 2, Application, Parts A and B, ISBN 978‐0‐931830‐46‐4 (Vol.1) 978‐0‐931830‐51‐8. Society of Exploration Geophysics.

      11 Palacky, G.J. and West, G.F., (1991), Airborne Electromagnetic methods: in Nabighian, M.N., Ed., Electromagnetic methods in applied geophysics‐ applications Part A and B: Soc. Expl. Geophys., Inv.in Geophys. 3, 811–879.

      12 Sasaki, Y. (2001). Full 3D inversion of electromagnetic data on PC. Journal of Applied Geophysics 46, 45–54.

      13 Sengpiel, K.P. and Siemon, B. (1998). Examples of 1D inversion of multifrequency AEM data from 3D resistivity distributions. Exploration Geophysics 29, 133–141.

      14  Siemon, B. (2001). Improved and new resistivity‐depth profiles for helicopter electromagnetic data. Journal of Applied Geophysics 38, 65–76.

      15 Siemon B. (2006). Electromagnetic methods – frequency domain: Airborne techniques. In: Groundwater Geophysics – A Tool for Hydrogeology (ed. R. Kirsch), pp. 155–170. Springer.

      16 Siemon, B. (2009). Levelling of frequency‐domain helicopter‐borne electromagnetic data. Journal of Applied Geophysics 67, 206–218.

      17 Siemon, B., Auken, E., and Christiansen, A.V. (2009). Laterally constrained inversion of frequency‐domain helicopter‐borne electromagnetic data. Journal of Applied Geophysics 67, 259–268.

      18 Siemon, B., Christiansen, A.V., and Auken, E. (2009). A review of helicopter‐borne electromagnetic methods for groundwater exploration. Near Surface Geophysics, 2009, 629–646

      19 Steuer, A., Siemon, B., and Eberle, D. (2008). Airborne and ground‐based electromagnetic investigations of the fresh‐water potential in the tsunami‐hit area Sigli, northern Sumatra. Journal of Environmental & Engineering Geophysics 13, 39–48.

      20 Valleau, N. (2000). HEM data processing – A practical overview. Exploration Geophysics 31, 584–594.

      21 Ward, S.H. and Hohmann, G.W. (1988). Electromagnetic theory for geophysical applications. In: Electromagnetic Methods in Applied Geophysics. Volume 1: Theory (ed. M.N. Nabighian), pp. 130–310. SEG.

      22 Yin, C. and Hodges, G. (2005). Influence of displacement currents on the response of helicopter electromagnetic systems. Geophysics 70, G95–G100.

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