Computation of Cole‐Cole parameters from IP data

  • Yuval
    U.B.C.‐Geophysical Inversion Facility, Department of Earth and Ocean Sciences, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4
  • Douglas W. Oldenburg
    U.B.C.‐Geophysical Inversion Facility, Department of Earth and Ocean Sciences, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4

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<jats:p> We develop a process to estimate Cole‐Cole parameters from time‐domain induced polarization (IP) surveys carried out over a nonuniform earth. The recovery of parameters takes the following steps. We first divide the earth into rectangular cells and assume that the Cole‐Cole decay parameters [Formula: see text] and c constant in each cell. Apparent chargeability data measured at times [Formula: see text] after the cessation of the input current are inverted using a 2-D inversion algorithm to recover the intrinsic chargeability structure [Formula: see text] for k = 1, L, where L is the number of time channels measured. When carrying out this inversion, it is necessary to introduce a normalization criterion so that the inversion outputs from the different time channels can be meshingfully combined. The L chargeability structures provide L estimates of the chargeability decay curve for each cell. The desired intrinsic Cole‐Cole parameters are recovered from these decay curves using a very fast simulated annealing (VFSA) algorithm. Application of the process in all cells provides interpretation maps of [Formula: see text], τ(x,z), and c(x, z). Our analysis is demonstrated on a synthetic example and is implemented on a field data set. The application of the process to field data yields reasonable results. </jats:p>

収録刊行物

  • GEOPHYSICS

    GEOPHYSICS 62 (2), 436-448, 1997-03

    Society of Exploration Geophysicists

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