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60  2 Exploration Methods
                                       Apparent resistivity response throughout period range
                                                   apparent resistivity
                                   r 2   r 1    r 2   r 1     r 2   r 1     r 2   r 1
                                 1             2             3             4
                             Period



                              T 0
                                                             TM  TE
                                                 TE  TM


                                           Impedance polar diagrams of given period T 0




                                                                                             X


                                       1                   2          3          4
                                                             TM
                                                                    TE


                                                               r > r 2
                                                                1
                                                r 1                       r 2
                               Figure 2.8  Impedance polar diagrams (at one frequency)
                               and apparent resistivities, at four sites on a simple 2D con-
                               tact model. TE and TM refer to transverse electric (E parallel
                               to strike) and transverse magnetic (H parallel to strike) field
                               polarizations, respectively. (From .. . ).


                               mode inversions. The determinant mode has been successfully tested in several
                               studies.
                                 The goal of any MT interpretation is a representation of true resistivity with
                               depth. There are two ways such a representation is achieved: forward or inverse
                               modeling. MT multidimensional modeling techniques are well developed. Forward
                               modeling codes can resolve 1D, 2D, and 3D structures by creating a synthetic cross
                               section of the subsurface, computing its MT response, and then comparing it
                               with the actual MT data, using the time-consuming trial-and-error approach.
                               Inversion codes also exist and have been used routinely for computing 1D and 2D
                               responses. 3D inverse codes, even though they have been available for some time
                               (Mackie, Smith, and Madden, 1994; Newman and Alumbaugh, 2000; Zhdanov
                               et al., 2000; Siripunvaraporn et al., 2005), are mostly still in the development stage
                               (Siripunvaraporn and Egbert, 2009). Several field studies have shown promising
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